Deck 3: Statistical Measures and Correlation Coefficients

Question 1

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

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

Answer 1

20

Question 2

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

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

Answer 2

10

Question 3

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

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

Answer 3

Quartile deviation

Question 4

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

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

Question 5

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

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

Question 6

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

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

Question 7

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

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

Question 8

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

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

Question 9

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

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

Question 10

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

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

Question 11

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

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

Question 12

In a mesokurtic or normal distribution, µ4 = 243. The standard deviation is:

A)81
B)27
C)9
D)3

Question 13

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

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

Question 14

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

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

Question 15

For a symmetrical distribution:

A)β1 > 0
B)β1 < 0
C)β1 = 0
D)β1 = 3

Question 16

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

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

Question 17

Bowley's coefficient of skewness lies between:

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

Question 18

The value of β2 can be:

A)Less than 3
B)Greater than 3
C)Equal to 3
D)All of the above

Question 19

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

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

Question 20

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:

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

Question 21

In a bivariate distribution, Spearman's Coefficient of Correlation is -0.25. If the sum of the squares of various ranks is 150, find out the number of pairs of items:

A)10
B)8
C)9
D)7

Question 22

The rank correlation coefficient of a debating contest involving 10 participants was calculated as 0.6. However, it was later discovered that the difference in the ranks of some participants was read as 8 instead of 3. Find the correct correlation coefficient:

A)0.933
B)0.652
C)0.854
D)0.751

Question 23

The regression coefficient of X on Y is:

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

Question 24

Regression Coefficient of Y on X is:

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