Question 1

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

Accepted Answer

A)  Mean = 2 Mode - 3 Median
B)  Mode = 3 Median - 2 Mean
C)  Median = 3 Mean - 2 Mode
D)  None of theseE) All of the above
F) A) and D)

Question 2

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

Accepted Answer

A)  first quartile
B)  second quartile
C)  third quartile
D)  four quartileE) None of the above
F) All of the above

Question 3

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

Accepted Answer

A)  38
B)  20
C)  18
D)  15E) B) and C)
F) A) and D)

Question 4

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

Accepted Answer

A)  120
B)  150
C)  180
D)  300E) A) and B)
F) B) and C)

Question 5

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

Accepted Answer

A)  Quartiles
B)  Deciles
C)  Percentiles
D)  None of theseE) A) and B)
F) A) and C) B

Question 6

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

Accepted Answer

A)  32
B)  68
C)  80
D)  86E) C) and D)
F) B) and D)

Question 7

The sum of squared deviations is minimum when taken from:

Accepted Answer

A)  Mean
B)  Median
C)  Mode
D)  None of theseE) A) and D)
F) All of the above

Question 8

The mean or average used to measure central tendency is called

Accepted Answer

A)  sample mean
B)  arithmetic mean
C)  negative mean
D)  population meanE) A) and B)
F) A) and C) B

Question 9

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

Accepted Answer

A)  35
B)  34.3
C)  36
D)  37E) A) and B)
F) C) and D)

Question 10

The sum of absolute deviations is minimum when taken from:

Accepted Answer

A)  Mean
B)  Median
C)  Mode
D)  None of theseE) A) and B)
F) A) and C)

Question 11

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

Accepted Answer

A)  75
B)  70
C)  85
D)  80E) C) and D)
F) A) and C)

Question 12

The sum of deviations of observations from their arithmetic mean:

Accepted Answer

A)  Maximum
B)  Least
C)  Zero
D)  None of theseE) A) and D)
F) None of the above

Question 13

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

Accepted Answer

A)  20
B)  30
C)  40
D)  50E) B) and C)
F) None of the above

Question 14

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

Accepted Answer

A)  27
B)  26
C)  25
D)  28E) B) and C)
F) All of the above

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

A)  20
B)  19
C)  21
D)  None of theseE) C) and D)
F) None of the above

Question 17

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.

Accepted Answer

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

Question 18

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.

Accepted Answer

A)  17
B)  16
C)  15
D)  20E) None of the above
F) All of the above

Question 19

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

Accepted Answer

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

Question 20

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

Accepted Answer

A)  8
B)  32
C)  240
D)  1.667E) A) and B)
F) A) and C)

Exam 1: Statistical Measures of Central Tendency and Dispersion

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedB

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

Correct AnswerverifiedShow Answer

The sum of squared deviations is minimum when taken from:

Correct AnswerverifiedShow Answer

The mean or average used to measure central tendency is called

Correct AnswerverifiedB

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

Correct AnswerverifiedShow Answer

The sum of absolute deviations is minimum when taken from:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

The sum of deviations of observations from their arithmetic mean:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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.

Correct AnswerverifiedA

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.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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A

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