question_answer1) Which one of the following is not central tendency?
A) Mean deviation done clear
B) Arithmetic mean done clear
C) Median done clear
D) Mode done clear
View Solution play_arrowquestion_answer2) Which one of the following groups has different class size from others?
A) \[\text{12}0\text{ }\text{ 125}\] done clear
B) \[\text{243 }-\text{ 249}\] done clear
C) \[\text{141}.\text{5 }-\text{ 146}.\text{5}\] done clear
D) \[\text{315}.\text{5 }-\text{ 32}0.\text{5}\] done clear
View Solution play_arrowA) Mean and median done clear
B) Median but no mean done clear
C) Mean but no median done clear
D) Mode done clear
View Solution play_arrowquestion_answer4) The statistical data are of two types. These types are
A) technical data and presentation data done clear
B) primary data and secondary data done clear
C) primary data and personal data done clear
D) none of these done clear
View Solution play_arrowquestion_answer5) The difference between the maximum and the minimum observations in the data is
A) class interval done clear
B) frequency done clear
C) cumulative frequency done clear
D) range done clear
View Solution play_arrowquestion_answer6) The number of times a particular item occurs in a class interval is called its
A) mean done clear
B) frequency done clear
C) cumulative frequency done clear
D) none of these done clear
View Solution play_arrowA) \[\frac{M({{M}^{2}}-3)}{2}\] done clear
B) \[N(4{{M}^{2}}-3)\] done clear
C) \[{{\text{M}}^{\text{3}}}\] done clear
D) \[{{\text{M}}^{\text{3}}}+\text{3}\] done clear
View Solution play_arrowA) 250 crore done clear
B) 150 crore done clear
C) 300 crore done clear
D) 200 crore done clear
View Solution play_arrowA) 70 done clear
B) 60 done clear
C) 50 done clear
D) 73 done clear
View Solution play_arrowA) 2.8 done clear
B) 4.16 done clear
C) 4.8 done clear
D) 2.16 done clear
View Solution 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 done clear
B) 35 done clear
C) 30 done clear
D) 31 done clear
View Solution 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 done clear
B) 43 done clear
C) 33 done clear
D) 23 done clear
View Solution play_arrowquestion_answer13) \[\overline{x}=a+\frac{\sum fd}{N}\]is the formula of
A) Median done clear
B) Mode done clear
C) Arithmetic mean done clear
D) Mean deviation done clear
View Solution play_arrowA) \[\text{n }=\text{ 1 }+\text{ 2}.\text{3 log N}\] done clear
B) \[\text{N }=\text{ 1 }+\text{ 3}.\text{3 log N}\] done clear
C) \[\text{n }=\text{ 1 }+\text{ 3}.\text{3 log N}\] done clear
D) \[\text{n }=\text{1}-\text{3}.\text{3 log N}\] done clear
View Solution play_arrowA) 74.50 done clear
B) 74.90 done clear
C) 74.95 done clear
D) 75.00 done clear
View Solution play_arrowA) 2 done clear
B) 4 done clear
C) 6 done clear
D) 8 done clear
View Solution play_arrowquestion_answer17) What is the sum of the frequencies of the intervals 40-50 and 50-60?
A) 15 done clear
B) 25 done clear
C) 45 done clear
D) 20 done clear
View Solution play_arrowA) 14 done clear
B) 15 done clear
C) 16 done clear
D) 17 done clear
View Solution play_arrowFactory A | Factory B |
No. of wage earners 250 | 200 |
Average daily wage Rs. 2.00 | Rs.2.50 |
A) Rs. 2.12 done clear
B) Rs. 2.06 done clear
C) Rs. 2.20 done clear
D) Rs. 2.22 done clear
View Solution play_arrowA) 16 done clear
B) 16.5 done clear
C) 17 done clear
D) 17.5 done clear
View Solution play_arrowquestion_answer21) Which one of the following is not correct?
A) statistics is liable to be misused done clear
B) the data collected by the investigator to be used by himself are called primary data done clear
C) statistical laws are exact done clear
D) statistics do not take into account of individual cases done clear
View Solution play_arrowA) \[\frac{1}{2}(n+1)\] done clear
B) \[\frac{1}{2}(n+2)\] done clear
C) \[\frac{1}{3}(2n+1)\] done clear
D) \[\frac{1}{3}n(2n+1)\] done clear
View Solution play_arrowA) \[{{M}_{2}}+\frac{(a-1)({{x}_{1}}-2{{M}_{1}})}{4a}\] done clear
B) \[{{M}_{1}}+\frac{(a-1){{x}_{1}}+2{{M}_{2}}}{4a}\] done clear
C) \[\frac{{{M}_{2}}}{4a}+(a-1){{x}_{1}}+2{{M}_{1}}\] done clear
D) \[\frac{{{M}_{1}}}{4a}+(a-1){{x}_{2}}+2{{M}_{2}}\] done clear
View Solution play_arrowA) \[{{M}^{2}}\] done clear
B) \[\frac{{{M}^{2}}}{4}\] done clear
C) \[2{{M}^{2}}-1\] done clear
D) \[2{{M}^{2}}+1\] done clear
View Solution 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 done clear
B) -0.1 done clear
C) 0 done clear
D) 0.2 done clear
View Solution play_arrowquestion_answer26) The mean of the following natural numbers 1,2,3, ... 10 is
A) 6.5 done clear
B) 4.5 done clear
C) 5.5 done clear
D) 5.4 done clear
View Solution 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 done clear
B) English done clear
C) Both [a] and [b] above done clear
D) None of the above done clear
View Solution play_arrowquestion_answer28) Formula to find mode is
A) Mean - 2 Median done clear
B) 3 Median - 2 Mean done clear
C) 3 Median - Mean done clear
D) Mean + Median done clear
View Solution play_arrowA) 99 done clear
B) 99.5 done clear
C) 100 done clear
D) 100.5 done clear
View Solution play_arrowA) 21 cm approximately done clear
B) 38 cm done clear
C) 86 cm approximately done clear
D) 48 cm done clear
View Solution play_arrowA) Rs. 2,000 done clear
B) Rs. 1,500 done clear
C) Rs. 1,200 done clear
D) Rs.3,000 done clear
View Solution play_arrowA) 25 done clear
B) 30 done clear
C) 60 done clear
D) 65 done clear
View Solution play_arrowA) 42 done clear
B) 43 done clear
C) 45 done clear
D) 44 done clear
View Solution play_arrowA) 61 done clear
B) 61.5 done clear
C) 62 done clear
D) 62.5 done clear
View Solution play_arrowA) 6 done clear
B) 36 done clear
C) 1296 done clear
D) None of these done clear
View Solution play_arrowquestion_answer36) The mean of the ungrouped data is given by
A) \[\text{Mean}=\frac{\sum xi}{\Sigma f}\] done clear
B) \[\text{Mean}=\frac{\sum x}{n}\] done clear
C) \[\text{Mean}=\frac{\sum fx}{\Sigma n}\] done clear
D) \[\text{Mean}=a+\frac{\sum fx}{n}\] done clear
View Solution play_arrowA) \[\left( \text{n}+\text{q} \right)\text{p}\] done clear
B) \[\left( \text{n}+\text{p} \right)\text{n}\] done clear
C) np done clear
D) \[\text{n}+\text{pq}\] done clear
View Solution play_arrowA) \[10+\frac{1}{2}(11-10)\] done clear
B) \[10-\frac{1}{2}(11-10)\] done clear
C) \[10+\frac{1}{2}(11+10)\] done clear
D) \[10-\frac{1}{2}(11+10)\] done clear
View Solution play_arrowA) 25% done clear
B) 40% done clear
C) 60% done clear
D) 85% done clear
View Solution 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 done clear
B) bell-shaped curve done clear
C) J-shaped curve done clear
D) U-shaped curve done clear
View Solution play_arrowA) \[\sum\limits_{i=1}^{{}}{{{f}_{i}}({{x}_{i}}+\overline{x})=0}\] done clear
B) \[\sum\limits_{i=1}^{{}}{{{f}_{i}}({{x}_{i}}-\overline{x})=0}\] done clear
C) \[\sum\limits_{i=1}^{n}{{{f}_{i}}{{({{x}_{i}}+\overline{x})}^{2}}=0}\] done clear
D) \[\sum\limits_{i=1}^{n}{{{f}_{i}}{{({{x}_{i}}-\overline{x})}^{2}}=0}\] done clear
View Solution play_arrowA) 80% and 20% done clear
B) 70% and 30% done clear
C) 55% and 45% done clear
D) 50% and 50% done clear
View Solution play_arrowA) \[\overline{x}-nk\] done clear
B) \[n\overline{x}-k\] done clear
C) \[k\overline{x}-n\] done clear
D) \[nk\overline{x}\] done clear
View Solution play_arrowA) Rs. 488.25 done clear
B) Rs. 488.75 done clear
C) Rs. 479.75 done clear
D) Rs. 489.25 done clear
View Solution play_arrowA) \[\frac{{{M}_{1}}+{{M}_{2}}}{2}\] done clear
B) \[\frac{a{{M}_{1}}+\left( \frac{{{M}_{2}}}{a} \right)}{2}\] done clear
C) \[\frac{1}{2a}[({{a}^{2}}-1){{M}_{1}}+2{{M}_{2}}]\] done clear
D) \[\frac{1}{2a}[2({{a}^{2}}-1){{M}_{1}}+{{M}_{2}}]\] done clear
View Solution play_arrowquestion_answer46) The median of 3, 5, 6, x, 9, 15 is 7. The value of x is
A) 7 done clear
B) 4 done clear
C) 8 done clear
D) none of these done clear
View Solution play_arrowA) 7 done clear
B) 6 done clear
C) 9 done clear
D) 8 done clear
View Solution play_arrowMarks | 5 | 15 | 25 | 35 | 45 |
No. of students | 5 | 4 | 6 | 3 | 2 |
A) 18 done clear
B) 12 done clear
C) 20 done clear
D) 8 done clear
View Solution play_arrowA) 15 done clear
B) 25 done clear
C) 17 done clear
D) 19 done clear
View Solution play_arrowA) Frequency distribution done clear
B) Frequency done clear
C) Cumulative frequency done clear
D) Primary data done clear
View Solution play_arrowA) \[M\] done clear
B) \[M+\frac{1}{50}\] done clear
C) \[\frac{50}{M}\] done clear
D) \[\frac{M}{50}\] done clear
View Solution play_arrowA) 0 done clear
B) 5 done clear
C) 10 done clear
D) 25 done clear
View Solution play_arrowquestion_answer53) The mean of the cubes of the first n natural numbers is
A) \[\frac{n{{(n+1)}^{2}}}{2}\] done clear
B) \[\frac{n{{(n+1)}^{2}}}{4}\] done clear
C) \[\frac{n(n+1)(n+2)}{8}\] done clear
D) \[{{n}^{2}}+n+1\] done clear
View Solution play_arrowA) \[\frac{19M}{20}\] done clear
B) 1 done clear
C) 0 done clear
D) \[\frac{1}{20}\] done clear
View Solution play_arrowA) \[\text{135}.\text{5}-\text{142}.\text{5}\] done clear
B) \[\text{136}-\text{143}\] done clear
C) \[\text{149}.\text{5}-\text{156}.\text{5}\] done clear
D) \[\text{15}0-\text{157}\] done clear
View Solution 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 done clear
B) 4600 done clear
C) 5500 done clear
D) 6250 done clear
View Solution play_arrowAgriculture | 40% |
Education | 35% |
Industry | 15% |
Misc. | 10% |
A) done clear
B) done clear
C) done clear
D) done clear
View Solution play_arrowA) \[n\overline{x}+k\] done clear
B) \[n\overline{x}-k\] done clear
C) \[X-\frac{k}{n}\] done clear
D) \[\overline{x}+\frac{k}{n}\] done clear
View Solution play_arrowquestion_answer59) The mean of the first n natural numbers is
A) \[\frac{n}{2}\] done clear
B) \[\frac{n+1}{2}\] done clear
C) \[\frac{n}{2}+1\] done clear
D) \[\frac{{{n}^{2}}+n+1}{n}\] done clear
View Solution play_arrowquestion_answer60) The mean of the squares of the first n natural numbers is
A) \[{{n}^{2}}+1\] done clear
B) \[\frac{{{n}^{4}}+1}{n}\] done clear
C) \[\frac{(n+1)(2n+1)}{6}\] done clear
D) \[\frac{(n+1)(n+2)}{m}\] done clear
View Solution play_arrowA) 28 years done clear
B) 25 years done clear
C) 20 years done clear
D) 18 years done clear
View Solution 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 done clear
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. done clear
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. done clear
D) The curve formed by joining the middle points of the tops of bars of the histogram. done clear
View Solution play_arrowA) 8 done clear
B) 80 done clear
C) 8 done clear
D) 1.25 done clear
View Solution 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 done clear
B) 16 done clear
C) 17 done clear
D) 18 done clear
View Solution play_arrowA) Increased done clear
B) Decreased done clear
C) Remains same done clear
D) None of these done clear
View Solution play_arrowA) \[\text{a}+\text{nd}\] done clear
B) \[\text{a}-\text{nd}\] done clear
C) \[\left( \text{a}+\text{n} \right)\text{d}\] done clear
D) \[~\text{ad}+\text{n}\] done clear
View Solution play_arrowA) \[\frac{1}{8}\] done clear
B) \[\frac{1}{6}\] done clear
C) \[\frac{1}{5}\] done clear
D) \[\frac{1}{4}\] done clear
View Solution play_arrowquestion_answer68) The mean of first odd n natural numbers is
A) n done clear
B) 2n done clear
C) n + 2 done clear
D) \[\frac{n}{2}\] done clear
View Solution play_arrowA) 0.4 done clear
B) 0.3 done clear
C) 0.2 done clear
D) 0.1 done clear
View Solution 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 done clear
B) 35 done clear
C) 33 done clear
D) 2 done clear
View Solution play_arrowA) 1 done clear
B) 0 done clear
C) \[n\overline{x}\] done clear
D) None of these done clear
View Solution play_arrowA) 15 done clear
B) 16 done clear
C) 18 done clear
D) 20 done clear
View Solution play_arrowA) 39 done clear
B) 40 done clear
C) 41 done clear
D) 43 done clear
View Solution play_arrowA) \[M-{{X}_{1}}+X'\] done clear
B) \[\frac{(n-1)M+x'}{n}\] done clear
C) \[\frac{nM-{{x}_{1}}+x'}{n}\] done clear
D) \[\frac{M-{{x}_{1}}+x'}{n}\] done clear
View Solution 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. done clear
B) The standard deviation for a given distribution is the square root of the variance. done clear
C) The standard deviation for a given distribution is equal to the variance. done clear
D) The standard deviation for a given distribution is half of the variance. done clear
View Solution play_arrowA) \[\frac{\text{6}0+\text{9}0+\text{75}+\text{66}}{\text{2}+\text{4}+\text{3}+\text{3}}\] done clear
B) \[\frac{\text{6}0\times \text{2}+\text{9}0\times \text{4}+\text{75}\times \text{3}+\text{66}\times \text{3}}{\text{2}+\text{4}+\text{3}+\text{3}}\] done clear
C) \[\frac{\text{6}0\times \text{2}+\text{9}0\times \text{4}+\text{75}\times \text{3}+\text{66}\times \text{3}}{4}\] done clear
D) \[\frac{\text{6}0+\text{9}0+\text{75}+\text{66}}{4}\] done clear
View Solution play_arrowA) \[\frac{\text{5}0+\text{75}+\text{6}0+\text{8}0+\text{55}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\] done clear
B) \[\frac{~\left( \text{5}0\times \text{2} \right)+\left( \text{75}\times \text{3} \right)+\left( \text{6}0\times \text{3} \right)+\left( \text{8}0\times \text{2} \right)+\left( \text{55}\times \text{1} \right)}{5}\] done clear
C) \[\frac{\text{5}0\times \text{2}+\text{75}\times \text{3}+\text{6}0\times \text{3}+\text{8}0\times \text{2}+\text{55}\times \text{1}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\] done clear
D) none done clear
View Solution play_arrowquestion_answer78) The geometric mean of 2, 6, 8, 24 is
A) \[\sqrt{48}=4\sqrt{8}\] done clear
B) 16 done clear
C) 24 done clear
D) 36 done clear
View Solution play_arrowA) 2 done clear
B) 96 done clear
C) 98 done clear
D) 50 done clear
View Solution 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) \[\frac{\text{1}0\times \text{7}\times \text{4}0\times \text{36}\times \text{36}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\] done clear
B) \[\frac{\text{5}+\text{7}+\text{8}+\text{9}+\text{12}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\] done clear
C) \[\frac{\left( \text{5}+\text{7}+\text{8}+\text{9}+\text{12} \right)-\left( \text{2}+\text{1}+\text{5}+\text{4}+\text{3} \right)}{\left( \text{5}+\text{7}+\text{8}+\text{9}+\text{12} \right)+\left( \text{2}+\text{1}+\text{5}+\text{4}+\text{3} \right)}\] done clear
D) \[\frac{\text{5}\times \text{2}+\text{7}\times \text{1}+\text{8}\times \text{5}+\text{9}\times \text{4}+\text{12}\times \text{3}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\] done clear
View Solution play_arrowA) Rs. 16 done clear
B) Rs. 20 done clear
C) Rs. 24 done clear
D) Rs. 28 done clear
View Solution play_arrowA) 75 done clear
B) 30 done clear
C) 60 done clear
D) 25 Refer the figure given below answer the following questions. done clear
View Solution play_arrowquestion_answer83) Which class-interval has the minimum frequency?
A) 20-30 done clear
B) 40-50 done clear
C) 50-60 done clear
D) 10-20 done clear
View Solution play_arrowquestion_answer84) What is frequency of the class-interval 20-30?
A) 25 done clear
B) 20 done clear
C) 5 done clear
D) 10 done clear
View Solution play_arrowquestion_answer85) How many class-intervals have equal frequency?
A) 2 done clear
B) 3 done clear
C) 1 done clear
D) None done clear
View Solution play_arrowquestion_answer86) What is the cumulative frequency of the interval 40-50?
A) 70 done clear
B) 60 done clear
C) 50 done clear
D) 80 done clear
View Solution play_arrowquestion_answer87) What is the difference of frequencies of the intervals 30-40 and 40-50?
A) 5 done clear
B) 20 done clear
C) 15 done clear
D) 25 done clear
View Solution play_arrowquestion_answer88) Which class-interval has the maximum frequency?
A) 0-10 done clear
B) 30-40 done clear
C) 10-20 done clear
D) 40-50 done clear
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