Question 1

The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:

Accepted Answer

A)  Leptokurtic
B)  Platykurtic
C)  Mesokurtic or normal
D)  Positively skewed C

Question 2

The degree of peaked ness or flatness of a unimodel distribution is called:

Accepted Answer

A)  Skewness
B)  Symmetry
C)  Dispersion
D)  Kurtosis D

Question 3

If the sum of deviations from median is not zero, then a distribution will be:

Accepted Answer

A)  Symmetrical
B)  Skewed
C)  Normal
D)  All of the above B

Question 4

If the quartile range is 24 then the quartile deviation is:

Accepted Answer

A)  48
B)  12
C)  24
D)  72

Question 5

If mean absolute deviation of set of observations is 8.5 then value of quartile deviation is

Accepted Answer

A)  7.08
B)  9.08
C)  10.2
D)  11.2

Question 6

Half of the difference between upper and lower quartiles is called:

Accepted Answer

A)  Interquartile range
B)  Quartile deviation
C)  Mean deviation
D)  Standard deviation

Question 7

The regression coefficient of X on Y is:

Accepted Answer

A)  bXY
B)  bYX
C)  Not Specified
D)  none

Question 8

The first three moments of a distribution about the mean are 1, 4 and 0. The distribution is:

Accepted Answer

A)  Symmetrical
B)  Skewed to the left
C)  Skewed to the right
D)  Normal

Question 9

Regression Coefficient of Y on X is:

Accepted Answer

A)  bXY
B)  bYX
C)  Not Specified
D)  none

Question 10

The range of the values -5, -8, -10, 0, 6, 10 is:

Accepted Answer

A)  0
B)  10
C)  -10
D)  20

Question 11

If the sum of squares of the rank differences of 10 pairs of values is 30, find the correlation coefficient between them.

Accepted Answer

A)  0.75
B)  0.82
C)  0.90
D)  0.83

Question 12

In a bivariate sample, the sum of squares of differences between marks of observed values of two variables is 33 and the rank correlation between them is 0.8. Find the number of pairs of observations:

Accepted Answer

A)  12
B)  10
C)  15
D)  18

Question 13

If the arithmetic mean is multiplied to coefficient of variation then the resulting value is classified as

Accepted Answer

A)  coefficient of deviation
B)  coefficient of mean
C)  standard deviation
D)  variance

Question 14

For a symmetrical distribution:

Accepted Answer

A)  β1 > 0
B)  β1 
C)  β1 = 0
D)  β1 = 3

Question 15

If Q3=20 and Q1=10, the coefficient of quartile deviation is:

Accepted Answer

A)  3
B)  1/3
C)  2/3
D)  1

Question 16

For the recorded observation, the ratios measured by absolute variation are considered as

Accepted Answer

A)  non-relative measures
B)  relative measures
C)  high uniform measures
D)  low uniform measures

Question 17

If the maximum value in a series is 25 and its range is 15, the maximum value of the series is:

Accepted Answer

A)  10
B)  15
C)  25
D)  35

Question 18

Bowley's coefficient of skewness lies between:

Accepted Answer

A)  0 and 1
B)  1 and +1
C)  -1 and 0
D)  -2 and +2

Question 19

The sum of all the squared deviations is divided by the total number of observations to calculate

Accepted Answer

A)  population deviation
B)  population variance
C)  sample deviation
D)  sample variance

Question 20

In a symmetrical distribution, Q3 - Q1 = 20, median = 15. Q3 is equal to:

Accepted Answer

A)  5
B)  15
C)  20
D)  25

Exam 3: Statistical Measures and Correlation Coefficients