SSC CGLQuantitative Aptitude

Statistics

4 SSC CGL Quantitative Aptitude previous year questions on Statistics — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.

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PYQ

The marks obtained by 15 students out of a maximum of 25 in a test are given as 13,11, 16, 15, 18, 12, 13, 14, 10, 22, 15, 21, 20, 17 and24. Find the product of the modes of this set of data.

a192

b210

c182

d195

✓ Correct answer: d) 195

ExplanationMode is the number that appears most frequently in a data set we count the frequency of each mark 10= 1 time 11=1 time 12=1 time 13=2 times 14=1 time 15 =2 times 16= 1 time 17= 1 time 18= 1 time 20= 1 time 21= 1 time 22= 1 time 24= 1 time The modes of this set of data are 13 and 15, as these marks appear most frequently.Product of modes The product of the modes of this set of data is 195. Hence, Option D is the correct answer.

PYQ

A set of data presented in the form of a frequency distribution table with class intervals and their respective frequencies had a mode of 48.5 . The lower boundary of the modal class was 46.5 ; the frequency of the modal class was 34 ; the frequency of the class interval just preceding the modal class was 32 and the frequency of the class interval just succeeding the modal class was 25 . What was the width of the modal class?

a12

b10.5

c11

d10

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Find the standard deviation of the following data (rounded off to two decimal places). 5,3,4,7

a1. 48

b3 .21

c4 .12

d2. 45

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The median of a set of 11 distinct observations is 73.2 . If each of the largest five observations of the set is increased by 3 , then the median of the new set:

ais 3 times that of the original set

bis increased by 3

cremains the same as that of the original set

dis decreased by 3

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