question_answer1) Which one of the following is not central tendency?
A) Mean deviation
B) Arithmetic mean
C) Median
D) Mode
View Answer play_arrowquestion_answer2) Which one of the following groups has different class size from others?
A) \[\text{12}0\text{ }\text{ 125}\]
B) \[\text{243 }-\text{ 249}\]
C) \[\text{141}.\text{5 }-\text{ 146}.\text{5}\]
D) \[\text{315}.\text{5 }-\text{ 32}0.\text{5}\]
View Answer play_arrowA) Mean and median
B) Median but no mean
C) Mean but no median
D) Mode
View Answer play_arrowquestion_answer4) The statistical data are of two types. These types are
A) technical data and presentation data
B) primary data and secondary data
C) primary data and personal data
D) none of these
View Answer play_arrowquestion_answer5) The difference between the maximum and the minimum observations in the data is
A) class interval
B) frequency
C) cumulative frequency
D) range
View Answer play_arrowquestion_answer6) The number of times a particular item occurs in a class interval is called its
A) mean
B) frequency
C) cumulative frequency
D) none of these
View Answer play_arrowA) \[\frac{M({{M}^{2}}-3)}{2}\]
B) \[N(4{{M}^{2}}-3)\]
C) \[{{\text{M}}^{\text{3}}}\]
D) \[{{\text{M}}^{\text{3}}}+\text{3}\]
View Answer play_arrowA) 250 crore
B) 150 crore
C) 300 crore
D) 200 crore
View Answer play_arrowA) 70
B) 60
C) 50
D) 73
View Answer play_arrowA) 2.8
B) 4.16
C) 4.8
D) 2.16
View Answer play_arrowquestion_answer11) The mean of the following frequency distribution is
Class Interval | Frequency |
0 - 10 | 4 |
10 - 20 | 6 |
20 - 30 | 10 |
30 - 40 | 16 |
40 - 50 | 14 |
A) 25
B) 35
C) 30
D) 31
View Answer play_arrowquestion_answer12) What is the mode from the following table?
Marks obtained | Frequency |
3 | 7 |
1 | 11 |
23 | 15 |
33 | 8 |
43 | 3 |
A) 13
B) 43
C) 33
D) 23
View Answer play_arrowquestion_answer13) \[\overline{x}=a+\frac{\sum fd}{N}\]is the formula of
A) Median
B) Mode
C) Arithmetic mean
D) Mean deviation
View Answer play_arrowA) \[\text{n }=\text{ 1 }+\text{ 2}.\text{3 log N}\]
B) \[\text{N }=\text{ 1 }+\text{ 3}.\text{3 log N}\]
C) \[\text{n }=\text{ 1 }+\text{ 3}.\text{3 log N}\]
D) \[\text{n }=\text{1}-\text{3}.\text{3 log N}\]
View Answer play_arrowA) 74.50
B) 74.90
C) 74.95
D) 75.00
View Answer play_arrowA) 2
B) 4
C) 6
D) 8
View Answer play_arrowquestion_answer17) What is the sum of the frequencies of the intervals 40-50 and 50-60?
A) 15
B) 25
C) 45
D) 20
View Answer play_arrowA) 14
B) 15
C) 16
D) 17
View Answer play_arrowFactory A | Factory B |
No. of wage earners 250 | 200 |
Average daily wage Rs. 2.00 | Rs.2.50 |
A) Rs. 2.12
B) Rs. 2.06
C) Rs. 2.20
D) Rs. 2.22
View Answer play_arrowA) 16
B) 16.5
C) 17
D) 17.5
View Answer play_arrowquestion_answer21) Which one of the following is not correct?
A) statistics is liable to be misused
B) the data collected by the investigator to be used by himself are called primary data
C) statistical laws are exact
D) statistics do not take into account of individual cases
View Answer play_arrowA) \[\frac{1}{2}(n+1)\]
B) \[\frac{1}{2}(n+2)\]
C) \[\frac{1}{3}(2n+1)\]
D) \[\frac{1}{3}n(2n+1)\]
View Answer play_arrowA) \[{{M}_{2}}+\frac{(a-1)({{x}_{1}}-2{{M}_{1}})}{4a}\]
B) \[{{M}_{1}}+\frac{(a-1){{x}_{1}}+2{{M}_{2}}}{4a}\]
C) \[\frac{{{M}_{2}}}{4a}+(a-1){{x}_{1}}+2{{M}_{1}}\]
D) \[\frac{{{M}_{1}}}{4a}+(a-1){{x}_{2}}+2{{M}_{2}}\]
View Answer play_arrowA) \[{{M}^{2}}\]
B) \[\frac{{{M}^{2}}}{4}\]
C) \[2{{M}^{2}}-1\]
D) \[2{{M}^{2}}+1\]
View Answer play_arrowquestion_answer25) The height of 30 boys of a class are given in the following table :
Height in cm | Frequency |
120 - 129 | 2 |
130 - 139 | 8 |
140 - 149 | 10 |
150 - 159 | 7 |
160 - 169 | 3 |
A) 0.1
B) -0.1
C) 0
D) 0.2
View Answer play_arrowquestion_answer26) The mean of the following natural numbers 1,2,3, ... 10 is
A) 6.5
B) 4.5
C) 5.5
D) 5.4
View Answer play_arrowquestion_answer27) The marks awarded to seven students in a school admission test were :
Mathematics | English | |
A | 55 | 35 |
B | 45 | 32 |
C | 75 | 44 |
D | 15 | 50 |
E | 10 | 45 |
F | 40 | 60 |
G | 06 | 40 |
A) Mathematics
B) English
C) Both [a] and [b] above
D) None of the above
View Answer play_arrowquestion_answer28) Formula to find mode is
A) Mean - 2 Median
B) 3 Median - 2 Mean
C) 3 Median - Mean
D) Mean + Median
View Answer play_arrowA) 99
B) 99.5
C) 100
D) 100.5
View Answer play_arrowA) 21 cm approximately
B) 38 cm
C) 86 cm approximately
D) 48 cm
View Answer play_arrowA) Rs. 2,000
B) Rs. 1,500
C) Rs. 1,200
D) Rs.3,000
View Answer play_arrowA) 25
B) 30
C) 60
D) 65
View Answer play_arrowA) 42
B) 43
C) 45
D) 44
View Answer play_arrowA) 61
B) 61.5
C) 62
D) 62.5
View Answer play_arrowA) 6
B) 36
C) 1296
D) None of these
View Answer play_arrowquestion_answer36) The mean of the ungrouped data is given by
A) \[\text{Mean}=\frac{\sum xi}{\Sigma f}\]
B) \[\text{Mean}=\frac{\sum x}{n}\]
C) \[\text{Mean}=\frac{\sum fx}{\Sigma n}\]
D) \[\text{Mean}=a+\frac{\sum fx}{n}\]
View Answer play_arrowA) \[\left( \text{n}+\text{q} \right)\text{p}\]
B) \[\left( \text{n}+\text{p} \right)\text{n}\]
C) np
D) \[\text{n}+\text{pq}\]
View Answer play_arrowA) \[10+\frac{1}{2}(11-10)\]
B) \[10-\frac{1}{2}(11-10)\]
C) \[10+\frac{1}{2}(11+10)\]
D) \[10-\frac{1}{2}(11+10)\]
View Answer play_arrowA) 25%
B) 40%
C) 60%
D) 85%
View Answer play_arrowquestion_answer40) The age-specific death rates for a town are given in the following table :
Age group (Years) | Specific death rate |
0 - 1 | 85 |
1 - 5 | 46 |
5 - 15 | 20 |
15 - 25 | 12 |
25 - 40 | 18 |
40 - 50 | 24 |
50 - 60 | 33 |
60 - 75 | 40 |
75 and above | 76 |
A) an increasing curve
B) bell-shaped curve
C) J-shaped curve
D) U-shaped curve
View Answer play_arrowA) \[\sum\limits_{i=1}^{{}}{{{f}_{i}}({{x}_{i}}+\overline{x})=0}\]
B) \[\sum\limits_{i=1}^{{}}{{{f}_{i}}({{x}_{i}}-\overline{x})=0}\]
C) \[\sum\limits_{i=1}^{n}{{{f}_{i}}{{({{x}_{i}}+\overline{x})}^{2}}=0}\]
D) \[\sum\limits_{i=1}^{n}{{{f}_{i}}{{({{x}_{i}}-\overline{x})}^{2}}=0}\]
View Answer play_arrowA) 80% and 20%
B) 70% and 30%
C) 55% and 45%
D) 50% and 50%
View Answer play_arrowA) \[\overline{x}-nk\]
B) \[n\overline{x}-k\]
C) \[k\overline{x}-n\]
D) \[nk\overline{x}\]
View Answer play_arrowA) Rs. 488.25
B) Rs. 488.75
C) Rs. 479.75
D) Rs. 489.25
View Answer play_arrowA) \[\frac{{{M}_{1}}+{{M}_{2}}}{2}\]
B) \[\frac{a{{M}_{1}}+\left( \frac{{{M}_{2}}}{a} \right)}{2}\]
C) \[\frac{1}{2a}[({{a}^{2}}-1){{M}_{1}}+2{{M}_{2}}]\]
D) \[\frac{1}{2a}[2({{a}^{2}}-1){{M}_{1}}+{{M}_{2}}]\]
View Answer play_arrowquestion_answer46) The median of 3, 5, 6, x, 9, 15 is 7. The value of x is
A) 7
B) 4
C) 8
D) none of these
View Answer play_arrowA) 7
B) 6
C) 9
D) 8
View Answer play_arrowMarks | 5 | 15 | 25 | 35 | 45 |
No. of students | 5 | 4 | 6 | 3 | 2 |
A) 18
B) 12
C) 20
D) 8
View Answer play_arrowA) 15
B) 25
C) 17
D) 19
View Answer play_arrowA) Frequency distribution
B) Frequency
C) Cumulative frequency
D) Primary data
View Answer play_arrowA) \[M\]
B) \[M+\frac{1}{50}\]
C) \[\frac{50}{M}\]
D) \[\frac{M}{50}\]
View Answer play_arrowA) 0
B) 5
C) 10
D) 25
View Answer play_arrowquestion_answer53) The mean of the cubes of the first n natural numbers is
A) \[\frac{n{{(n+1)}^{2}}}{2}\]
B) \[\frac{n{{(n+1)}^{2}}}{4}\]
C) \[\frac{n(n+1)(n+2)}{8}\]
D) \[{{n}^{2}}+n+1\]
View Answer play_arrowA) \[\frac{19M}{20}\]
B) 1
C) 0
D) \[\frac{1}{20}\]
View Answer play_arrowA) \[\text{135}.\text{5}-\text{142}.\text{5}\]
B) \[\text{136}-\text{143}\]
C) \[\text{149}.\text{5}-\text{156}.\text{5}\]
D) \[\text{15}0-\text{157}\]
View Answer play_arrowWages (Rs.) | No. of workers |
0 - 49 | 90 |
50 - 99 | 150 |
100 - 149 | 100 |
150 - 199 | 80 |
200 - 249 | 70 |
250or more | 10 |
A) 4100
B) 4600
C) 5500
D) 6250
View Answer play_arrowAgriculture | 40% |
Education | 35% |
Industry | 15% |
Misc. | 10% |
A)
B)
C)
D)
View Answer play_arrowA) \[n\overline{x}+k\]
B) \[n\overline{x}-k\]
C) \[X-\frac{k}{n}\]
D) \[\overline{x}+\frac{k}{n}\]
View Answer play_arrowquestion_answer59) The mean of the first n natural numbers is
A) \[\frac{n}{2}\]
B) \[\frac{n+1}{2}\]
C) \[\frac{n}{2}+1\]
D) \[\frac{{{n}^{2}}+n+1}{n}\]
View Answer play_arrowquestion_answer60) The mean of the squares of the first n natural numbers is
A) \[{{n}^{2}}+1\]
B) \[\frac{{{n}^{4}}+1}{n}\]
C) \[\frac{(n+1)(2n+1)}{6}\]
D) \[\frac{(n+1)(n+2)}{m}\]
View Answer play_arrowA) 28 years
B) 25 years
C) 20 years
D) 18 years
View Answer play_arrowquestion_answer62) Which one of the following definitions is for frequency curve?
A) The polygon formed by joining the middle points of the tops of bars of the histogram
B) A special type of bar graph to represent a frequency distribution. Here the bars are drawn adjacent to each other, class intervals are represented on the horizotnal axis and frequency on the vertical axis.
C) If the class intervals are plotted on the horizontal axis and the cumulative frequencies on the vertical axis against the upper class boundaries then the free hand curve through the points so plotted.
D) The curve formed by joining the middle points of the tops of bars of the histogram.
View Answer play_arrowA) 8
B) 80
C) 8
D) 1.25
View Answer play_arrowquestion_answer64) The mean of the following distribution is
Class | Frequency |
0 - 5 | 4 |
5 - 10 | 5 |
10 - 15 | 7 |
15 - 20 | 12 |
20 - 25 | 7 |
25 - 30 | 5 |
A) 15
B) 16
C) 17
D) 18
View Answer play_arrowA) Increased
B) Decreased
C) Remains same
D) None of these
View Answer play_arrowA) \[\text{a}+\text{nd}\]
B) \[\text{a}-\text{nd}\]
C) \[\left( \text{a}+\text{n} \right)\text{d}\]
D) \[~\text{ad}+\text{n}\]
View Answer play_arrowA) \[\frac{1}{8}\]
B) \[\frac{1}{6}\]
C) \[\frac{1}{5}\]
D) \[\frac{1}{4}\]
View Answer play_arrowquestion_answer68) The mean of first odd n natural numbers is
A) n
B) 2n
C) n + 2
D) \[\frac{n}{2}\]
View Answer play_arrowA) 0.4
B) 0.3
C) 0.2
D) 0.1
View Answer play_arrowquestion_answer70) Arithmetic mean for the given data is
Marks | No. of I students |
0 - 10 | 5 |
10 - 20 | 10 |
20 - 30 | 25 |
30 - 40 | 30 |
40 - 50 | 20 |
50 - 60 | 10 |
A) 55
B) 35
C) 33
D) 2
View Answer play_arrowA) 1
B) 0
C) \[n\overline{x}\]
D) None of these
View Answer play_arrowA) 15
B) 16
C) 18
D) 20
View Answer play_arrowA) 39
B) 40
C) 41
D) 43
View Answer play_arrowA) \[M-{{X}_{1}}+X'\]
B) \[\frac{(n-1)M+x'}{n}\]
C) \[\frac{nM-{{x}_{1}}+x'}{n}\]
D) \[\frac{M-{{x}_{1}}+x'}{n}\]
View Answer play_arrowquestion_answer75) Which one of the following statements is correct?
A) The standard deviation for a given distribution is the sqtiare of the variance.
B) The standard deviation for a given distribution is the square root of the variance.
C) The standard deviation for a given distribution is equal to the variance.
D) The standard deviation for a given distribution is half of the variance.
View Answer play_arrowA) \[\frac{\text{6}0+\text{9}0+\text{75}+\text{66}}{\text{2}+\text{4}+\text{3}+\text{3}}\]
B) \[\frac{\text{6}0\times \text{2}+\text{9}0\times \text{4}+\text{75}\times \text{3}+\text{66}\times \text{3}}{\text{2}+\text{4}+\text{3}+\text{3}}\]
C) \[\frac{\text{6}0\times \text{2}+\text{9}0\times \text{4}+\text{75}\times \text{3}+\text{66}\times \text{3}}{4}\]
D) \[\frac{\text{6}0+\text{9}0+\text{75}+\text{66}}{4}\]
View Answer play_arrowA) \[\frac{\text{5}0+\text{75}+\text{6}0+\text{8}0+\text{55}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\]
B) \[\frac{~\left( \text{5}0\times \text{2} \right)+\left( \text{75}\times \text{3} \right)+\left( \text{6}0\times \text{3} \right)+\left( \text{8}0\times \text{2} \right)+\left( \text{55}\times \text{1} \right)}{5}\]
C) \[\frac{\text{5}0\times \text{2}+\text{75}\times \text{3}+\text{6}0\times \text{3}+\text{8}0\times \text{2}+\text{55}\times \text{1}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\]
D) none
View Answer play_arrowquestion_answer78) The geometric mean of 2, 6, 8, 24 is
A) \[\sqrt{48}=4\sqrt{8}\]
B) 16
C) 24
D) 36
View Answer play_arrowA) 2
B) 96
C) 98
D) 50
View Answer play_arrowquestion_answer80) What is the mean of the following frequency distribution?
X | 5 | 7 | 8 | 9 | 12 |
Y | 2 | 1 | 5 | 4 | 3 |
A) \[\frac{\text{1}0\times \text{7}\times \text{4}0\times \text{36}\times \text{36}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\]
B) \[\frac{\text{5}+\text{7}+\text{8}+\text{9}+\text{12}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\]
C) \[\frac{\left( \text{5}+\text{7}+\text{8}+\text{9}+\text{12} \right)-\left( \text{2}+\text{1}+\text{5}+\text{4}+\text{3} \right)}{\left( \text{5}+\text{7}+\text{8}+\text{9}+\text{12} \right)+\left( \text{2}+\text{1}+\text{5}+\text{4}+\text{3} \right)}\]
D) \[\frac{\text{5}\times \text{2}+\text{7}\times \text{1}+\text{8}\times \text{5}+\text{9}\times \text{4}+\text{12}\times \text{3}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\]
View Answer play_arrowA) Rs. 16
B) Rs. 20
C) Rs. 24
D) Rs. 28
View Answer play_arrowA) 75
B) 30
C) 60
D) 25 Refer the figure given below answer the following questions.
View Answer play_arrowquestion_answer83) Which class-interval has the minimum frequency?
A) 20-30
B) 40-50
C) 50-60
D) 10-20
View Answer play_arrowquestion_answer84) What is frequency of the class-interval 20-30?
A) 25
B) 20
C) 5
D) 10
View Answer play_arrowquestion_answer85) How many class-intervals have equal frequency?
A) 2
B) 3
C) 1
D) None
View Answer play_arrowquestion_answer86) What is the cumulative frequency of the interval 40-50?
A) 70
B) 60
C) 50
D) 80
View Answer play_arrowquestion_answer87) What is the difference of frequencies of the intervals 30-40 and 40-50?
A) 5
B) 20
C) 15
D) 25
View Answer play_arrowquestion_answer88) Which class-interval has the maximum frequency?
A) 0-10
B) 30-40
C) 10-20
D) 40-50
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