Deck 1: Statistical Measures of Central Tendency and Dispersion

Question 1

The sum of deviations of observations from their arithmetic mean:

A)Maximum
B)Least
C)Zero
D)None of these

Answer 1

Zero

Question 2

The sum of absolute deviations is minimum when taken from:

A)Mean
B)Median
C)Mode
D)None of these

Answer 2

Median

Question 3

The sum of squared deviations is minimum when taken from:

A)Mean
B)Median
C)Mode
D)None of these

Answer 3

Mean

Question 4

What is the median of 33, 86, 68, 32, 80, 48, 70?

A)32
B)68
C)80
D)86

Question 5

In a moderately skewed distribution, the value of mean is 16 and that of mode is 25.

A)20
B)19
C)21
D)None of these

Question 6

In a moderately skewed distribution, the following equation indicates the relationship among mean, median and mode:

A)Mean = 2 Mode - 3 Median
B)Mode = 3 Median - 2 Mean
C)Median = 3 Mean - 2 Mode
D)None of these

Question 7

For a symmetrical distribution, Q1 and Q3 are 20 and 60 respectively. The value of median will be:

A)20
B)30
C)40
D)50

Question 8

The variate values which divide a series into ten equal parts are called:

A)Quartiles
B)Deciles
C)Percentiles
D)None of these

Question 9

From which average, the sum of deviations is zero?

A)Mean
B)Median
C)Mode
D)None of these

Question 10

The average to be used to determine the average size of the shoe sold in a shop is:

A)Mean
B)Median
C)Mode
D)None of these

Question 11

Find the Mode of 5, 3, 27, 5, 9, 3, 8, 5:

A)5
B)27
C)9
D)3

Question 12

In a moderately asymmetrical distribution, the value of mean is 75 and the value of mode is 60:

A)75
B)70
C)85
D)80

Question 13

Given Mean = 70.2 and mode = 70.5. Find the median using empirical relationship among them.

A)120
B)150
C)180
D)300

Question 14

In a moderately skewed distribution, the value of mode is 120 and that of median is 140. Find the value of arithmetic mean.

A)150
B)160
C)170
D)180

Question 15

The arithmetic mean of the marks obtained by 50 students was calculated as 44. It was later discovered that a score of 36 was misread as 56. Find the correct value of arithmetic mean of the marks obtained by the students.

A)43
B)43.6
C)45
D)50

Question 16

The marks obtained by 9 students in a test are 25, 20, 15, 45, 18, 7, 10, 38 and 12. Find the median.

A)38
B)20
C)18
D)15

Question 17

In a moderately asymmetrical distribution, the mode and mean are 32.1 and 35.4 respectively. Calculate the median.

A)35
B)34.3
C)36
D)37

Question 18

In a moderately skewed distribution, the mode and median are 20 and 24 respectively. Calculate the value of mean.

A)27
B)26
C)25
D)28

Question 19

The mean weight of 150 students in a class is 60 Kg. The mean weight of Boy students is 70 Kg and that of a girl students is 55 kg. Find the number of Boys and Girls in the class.

A)50 and 100
B)100 and 50
C)150 and 200
D)200 and 150

Question 20

A distribution consists of three components with total frequencies of 200, 250 and 300 having means 25, 10 and 15 respectively. Find the mean of the combined distribution.

A)17
B)16
C)15
D)20

Question 21

The arithmetic mean is 12 and the number of observations are 20 then the sum of all the values is

A)8
B)32
C)240
D)1.667

Question 22

The method used to compute average or central value of the collected data is considered as

A)measures of positive variation
B)measures of central tendency
C)measures of negative skewness
D)measures of negative variation

Question 23

The mean or average used to measure central tendency is called

A)sample mean
B)arithmetic mean
C)negative mean
D)population mean

Question 24

If the mean of percentages, rates and ratios is to be calculated then the central tendency measure which must be used in this situation is

A)weighted arithmetic mean
B)paired arithmetic mean
C)non-paired arithmetic mean
D)square of arithmetic mean

Question 25

In the quartiles, the central tendency median to be measured must lie in

A)first quartile
B)second quartile
C)third quartile
D)four quartile