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question_answer1)
By constructing a cumulative frequency table, we can use it in determining the _______
A)
mean done
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B)
mode done
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C)
median done
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D)
mean and mode done
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E)
None of these done
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question_answer2)
If n is the total number of observation, then the class whose cumulative frequency is greater than (and nearest to) \[\frac{\mathbf{n}}{\mathbf{2}}\] is called the ________
A)
modal class done
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B)
median class done
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C)
class preceding the modal class done
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D)
Class preceding the median class done
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E)
None of these done
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question_answer3)
Which among the following statements is incorrect?
A)
In a grouped frequency distribution/ it is not possible to determine the mode by looking at the frequencies, done
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B)
In a grouped frequency distribution, modal class is the class which have maximum frequency. done
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C)
The mode of the data is a value inside the modal class done
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D)
Median of the grouped data can be calculated by using the formula. Median =\[l+\left( \frac{\frac{n}{2}-cf}{f} \right)\] done
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E)
None of these done
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question_answer4)
If a mode exceeds a mean by 15 then the mode exceeds the median by________
A)
15 done
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B)
10 done
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C)
5 done
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D)
20 done
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E)
None of these done
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question_answer5)
If x < y < 2x and the mean and the median of x, y and 2x are 18 and 15 respectively, then the value of x is ______
A)
10 done
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B)
11 done
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C)
12 done
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D)
13 done
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E)
None of these done
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question_answer6)
Directions: Consider the following distribution table: |
Class interval | 0-8 | 8-16 | 16-24 |
Frequency | 3 | 5 | 8 |
Find the coefficient of variation for the above distribution.
A)
20.29 done
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B)
42.76 done
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C)
40.82 done
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D)
48.68 done
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E)
None of these done
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question_answer7)
Directions: Consider the following distribution table: |
Class interval | 0-8 | 8-16 | 16-24 |
Frequency | 3 | 5 | 8 |
Find the variance of the given distribution
A)
37.88 done
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B)
42.39 done
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C)
48.76 done
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D)
45.2 done
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E)
None of these done
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question_answer8)
If A, B, C are respectively the mean, median and mode of a data such that A: B = 4: 3, then find the ratio of B : C.
A)
3 : 1 done
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B)
1 : 2 done
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C)
2 : 1 done
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D)
3 : 4 done
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E)
None of these done
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question_answer9)
Find the mean of the data a, a + m, a + 2m, a + 3m, ____ up to (2n + 1) terms
A)
\[a+nm+1\] done
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B)
\[a+nm\] done
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C)
\[a+2nm\] done
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D)
\[a+2mn-1\] done
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E)
None of these done
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question_answer10)
Find the variance of the data |
3, 10, 17, _____199 |
A)
2125 done
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B)
3430 done
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C)
5120 done
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D)
7290 done
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E)
None of these done
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question_answer11)
Find the median of the first m terms of the data whose \[{{\mathbf{n}}^{\mathbf{th}}}\]term is 2n + 1.
A)
\[2m\] done
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B)
\[2m-1\] done
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C)
\[m\] done
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D)
\[2m+3\] done
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E)
None of these done
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question_answer12)
Find the median of the data \[\mathbf{a,}\,\,\mathbf{ar,}\,\,\mathbf{a}{{\mathbf{r}}^{\mathbf{2}}}\mathbf{,}\] ______, \[\mathbf{a}{{\mathbf{r}}^{\mathbf{n}}}\]where n is an odd number.
A)
\[\frac{a}{2}(1+r)\,{{r}^{\frac{n+1}{2}}}\] done
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B)
\[\frac{a}{2}(1-r)\,{{r}^{\frac{n+1}{2}}}\] done
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C)
\[\frac{a}{2}(1+r)\,{{r}^{\frac{n-1}{2}}}\] done
clear
D)
\[\frac{a}{2}(1-r)\,{{r}^{\frac{n-1}{2}}}\] done
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E)
None of these done
clear
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question_answer13)
For a given frequency distribution, median can be found graphically with the help of
A)
histogram done
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B)
ogive done
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C)
frequency curve done
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D)
frequency poiygon done
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E)
None of these done
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question_answer14)
Which among the following statements is correct?
A)
Mode is the middle most value of a data. done
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B)
Median and mode of a data can be determined graphically. done
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C)
The mode of a frequency distribution can be determined graphically from ogive. done
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D)
All the above done
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E)
None of these done
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question_answer15)
The following data gives the distribution of total household expenditure (in rupees) on cable connections in a city.
Expenditure (in RS.) | Frequency |
1000\[-\]1500 | 14 |
1500\[-\]2000 | 30 |
2000\[-\]2500 | 23 |
2500\[-\]3000 | 18 |
3000\[-\]3500 | 20 |
3500\[-\]4000 | 12 |
Find the average expenditure which is being done on the maximum number of cable connection.
A)
Rs. 1847.83 done
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B)
Rs. 1648.26 done
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C)
Rs. 2025.38 done
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D)
Rs. 1918.35 done
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E)
None of these done
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question_answer16)
\[\frac{\mathbf{x}}{\mathbf{3}}\mathbf{,}\frac{\mathbf{x}}{\mathbf{2}}\mathbf{,}\frac{\mathbf{x}}{\mathbf{4}}\]\[\mathbf{,}\frac{\mathbf{3x}}{\mathbf{4}}\mathbf{,}\frac{\mathbf{2x}}{\mathbf{5}}\mathbf{,}\]\[\mathbf{x,}\frac{\mathbf{2x}}{\mathbf{3}}\mathbf{,}\frac{\mathbf{x}}{\mathbf{5}}\] are the observations of a data such that x > 0. If the median of the data is 18, then find the value of x.
A)
15 done
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B)
25 done
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C)
40 done
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D)
35 done
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E)
None of these done
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question_answer17)
p < q < r < s and p, q, r, s are non zero integers. If mean and median of p, q, r, s are 10 and 9 respectively then which one of the following statements can be true?
A)
p = 10 and s =12 done
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B)
q = 6 and r = 12 done
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C)
p = 8 and s =14 done
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D)
All the above done
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E)
None of these done
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question_answer18)
The upper quartile of the data 8, 15, 17, 9, 7, 5 is _________
A)
9 done
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B)
10 done
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C)
12 done
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D)
15 done
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E)
None of these done
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question_answer19)
If the median of the following frequency distribution is 28.5 then the values of f1 and f2 are respectively _______
Class interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | Total |
Frequency | 5 | F1 | 20 | F2 | 8 | 5 | 60 |
A)
9 and 13 done
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B)
7 and 15 done
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C)
8 and 14 done
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D)
7 and 13 done
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E)
None of these done
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question_answer20)
If the mean of the following distribution is 54, then find the value of f.
Class-interval |
0-20 |
20-40 |
40-60 |
60-80 |
80-100 |
frequency |
7 |
11 |
10 |
f |
13 |
A)
6 done
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B)
7 done
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C)
8 done
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D)
9 done
clear
E)
None of these done
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question_answer21)
Compute the median for the following cumulative frequency distribution:
Mark obtained | Cumulative frequency |
More than or equal to 20 | 100 |
More than or equal to 30 | 96 |
More than or equal to 40 | 84 |
More than or equal to 50 | 70 |
More than or equal to 60 | 54 |
More than or equal to 70 | 34 |
More than or equal to 80 | 18 |
More than or equal to 90 | 8 |
More than or equal to 100 | 0 |
A)
60 done
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B)
55 done
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C)
58 done
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D)
62 done
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E)
None of these done
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question_answer22)
If three unbiased coins are tossed together, then the probability of getting at least two heads is ____
A)
\[\frac{1}{3}\] done
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B)
\[\frac{1}{8}\] done
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C)
\[\frac{1}{2}\] done
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D)
\[\frac{1}{4}\] done
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E)
None of these done
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question_answer23)
A bag contains 11 red bails and some white balls. If the probability of drawing a white ball is double that of a red ball, then the number of white ball in the bag is ________
A)
20 done
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B)
11 done
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C)
22 done
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D)
28 done
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E)
None of these done
clear
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question_answer24)
A number p is selected from the numbers 1, 3, 5 and then a second number q is randomly selected from the numbers 1, 6, 9. What is the probability that the product pq of the two numbers will be less than 20?
A)
\[\frac{1}{9}\] done
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B)
\[\frac{4}{3}\] done
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C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{7}{9}\] done
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E)
None of these done
clear
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question_answer25)
The times (in seconds) taken by 72 atheletes to run a 200 m hurdle race are tabulated below:
Class | 15.2\[-\]15.4 | 15.4\[-\]15.6 | 15.6\[-\]15.8 | 15.8\[-\]16.0 |
Frequency | 13 | 19 | 23 | 17 |
If an athelete is chosen at random, then find the probability that he is the one who has completed the race in less than 15.8 seconds.
A)
\[\frac{55}{72}\] done
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B)
\[\frac{23}{72}\] done
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C)
\[\frac{1}{4}\] done
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D)
\[\frac{17}{72}\] done
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E)
None of these done
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question_answer26)
Which of the following cannot be the probability of an event?
A)
0.001 done
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B)
\[\frac{3}{4}\] done
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C)
1% done
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D)
\[\frac{9}{8}\] done
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E)
None of these done
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question_answer27)
Two dice are thrown randomly. Find the probability of getting a doublet or a total of 8.
A)
\[\frac{3}{8}\] done
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B)
\[\frac{5}{18}\] done
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C)
\[\frac{1}{6}\] done
clear
D)
\[\frac{2}{9}\] done
clear
E)
None of these done
clear
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question_answer28)
Directions: In a game, the entry fee is Rs. 20. In the game, a coin is tossed 3 times. On showing two tails, swapnesh gets his entry fee back. If he throws 3 tails, he receives double the entry fees. Otherwise he will lose. If he tossed a coin three times, then ______ |
Find the probability that, he loses the entry fee.
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{3}{8}\] done
clear
D)
\[\frac{1}{8}\] done
clear
E)
None of these done
clear
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question_answer29)
Directions: In a game, the entry fee is Rs. 20. In the game, a coin is tossed 3 times. On showing two tails, swapnesh gets his entry fee back. If he throws 3 tails, he receives double the entry fees. Otherwise he will lose. If he tossed a coin three times, then ______ |
Find the probability that, he gets double entry fee.
A)
\[\frac{3}{4}\] done
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B)
\[\frac{1}{8}\] done
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C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{3}{8}\] done
clear
E)
None of these done
clear
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question_answer30)
Directions: In a game, the entry fee is Rs. 20. In the game, a coin is tossed 3 times. On showing two tails, swapnesh gets his entry fee back. If he throws 3 tails, he receives double the entry fees. Otherwise he will lose. If he tossed a coin three times, then ______ |
Find the probability that, he just gets her entry fee.
A)
\[\frac{1}{8}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{3}{8}\] done
clear
D)
\[\frac{1}{2}\] done
clear
E)
None of these done
clear
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question_answer31)
Directions: The king, queen and ace of clubs are removed from a deck of 52 playing cards and then |
well shuffled. Now on drawing a card at random from the remaining cards, then ______ |
Find the probability that, the card is a king of black colour.
A)
\[\frac{1}{13}\] done
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B)
\[\frac{13}{49}\] done
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C)
\[\frac{1}{49}\] done
clear
D)
\[\frac{1}{2}\] done
clear
E)
None of these done
clear
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question_answer32)
Directions: The king, queen and ace of clubs are removed from a deck of 52 playing cards and then |
well shuffled. Now on drawing a card at random from the remaining cards, then ______ |
Find the probability that, the card is either an ace or a jack.
A)
\[\frac{1}{7}\] done
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B)
\[\frac{3}{49}\] done
clear
C)
\[\frac{4}{49}\] done
clear
D)
\[\frac{8}{49}\] done
clear
E)
None of these done
clear
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question_answer33)
A card is drawn at random from a well shuffled deck of cards. The probability that it is a face card of diamonds, is ______
A)
\[\frac{3}{13}\] done
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B)
\[\frac{1}{13}\] done
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C)
\[\frac{1}{26}\] done
clear
D)
\[\frac{3}{52}\] done
clear
E)
None of these done
clear
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question_answer34)
A three digit number is to be formed by using the digits 1, 5, 6, 8 and 9 without repetition. The probability that it is an even number, is ________
A)
\[\frac{1}{5}\] done
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B)
\[\frac{2}{5}\] done
clear
C)
\[\frac{3}{5}\] done
clear
D)
\[\frac{4}{5}\] done
clear
E)
None of these done
clear
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question_answer35)
If a number is selected at random from the first 20 natural numbers, then find the probability that it is not a prime number
A)
\[\frac{1}{5}\] done
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B)
\[\frac{3}{5}\] done
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C)
\[\frac{2}{5}\] done
clear
D)
\[\frac{4}{5}\] done
clear
E)
None of these done
clear
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question_answer36)
Two dice are thrown. Find the probability of getting a total of 10 or 12?
A)
\[\frac{1}{9}\] done
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B)
\[\frac{2}{9}\] done
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C)
\[\frac{3}{4}\] done
clear
D)
\[\frac{1}{3}\] done
clear
E)
None of these done
clear
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question_answer37)
If the probability of happening of rain on a day is 0.75 then find the probability of non-happening of rain.
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{3}\] done
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C)
\[\frac{1}{4}\] done
clear
D)
\[\frac{1}{5}\] done
clear
E)
None of these done
clear
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question_answer38)
Directions: In a bag there are n balls out of which \[\frac{\mathbf{n}}{\mathbf{4}}\] balls are black, \[\frac{\mathbf{n}}{\mathbf{8}}\] balls are white and \[\frac{\mathbf{5n}}{\mathbf{8}}\] |
balls are red. A ball is drawn at random from the bag. |
The probability that the drawn ball is either black or red, is _________
A)
\[\frac{7}{8}\] done
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B)
\[\frac{7n}{4}\] done
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C)
\[\frac{5n}{2}\] done
clear
D)
\[\frac{1}{8}\] done
clear
E)
None of these done
clear
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question_answer39)
Directions: In a bag there are n balls out of which \[\frac{\mathbf{n}}{\mathbf{4}}\] balls are black, \[\frac{\mathbf{n}}{\mathbf{8}}\] balls are white and \[\frac{\mathbf{5n}}{\mathbf{8}}\] |
balls are red. A ball is drawn at random from the bag. |
The probability that the drawn ball is of white colour is ____
A)
\[\frac{n}{2}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{1}{8}\] done
clear
D)
\[\frac{3n}{4}\] done
clear
E)
None of these done
clear
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question_answer40)
Directions: In a bag there are n balls out of which \[\frac{\mathbf{n}}{\mathbf{4}}\] balls are black, \[\frac{\mathbf{n}}{\mathbf{8}}\] balls are white and \[\frac{\mathbf{5n}}{\mathbf{8}}\] |
balls are red. A ball is drawn at random from the bag. |
The probability that the drawn ball is neither white nor red, is_________
A)
\[\frac{n}{2}\] done
clear
B)
\[\frac{n}{4}\] done
clear
C)
\[\frac{1}{2}\] done
clear
D)
\[\frac{1}{4}\] done
clear
E)
None of these done
clear
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