Statistics Test

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Statistics Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The average monthly salary of workers in a factory is Rs. 206. If the average monthly salaries of males and females respectively are Rs. 210 and Rs. 190, then the percentage of females employed in the factory is

A
10

B
50

C
30

D
20
Question 2
1 / -0

If the standard deviation of 1, 2, 3, 4, & ..,10 is s, then the standard deviation of 11, 12, 13, 14, & ..20 is

A
σ + 10

B
10 σ

C
σ

D
none of these
Question 3
1 / -0

The quartile deviation of the following items 12, 7, 15, 10, 16, 17, 25 is

A
4.5

B
13.5

C
9

D
none of these
Question 4
1 / -0

Which of the following is a measure of central tendency?

A
Percentile

B
Quartile

C
Standard deviation

D
Mode
Question 5
1 / -0

If the variance of a data is V, then its standard deviation is

A
√V

B
±√V

C
–√V

D
V²
Question 6
1 / -0

The most stable measure of central tendency is:

A
mean

B
median

C
mode

D
none of these
Question 7
1 / -0

The two lines of regression are x + 4y = 3 and 3x +y = 15 . value of x for y = 3 is

A
9

B
- 9

C
- 4

D
4

Solution

we have x + 4y = 3 and 3x + y = 15 as the lines of regression of y on x and x on y respectively.

therfore, for y = 3 the required line is x on y

so put y= 3 in 3x + y = 15

we get, x = 4

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Question 8
1 / -0

What is the relationship between mean, median and mode for a moderately skewed distribution?

A
Mode = median - 2 mean

B
Mode = 2 median - mean

C
Mode = 2 median - 3 mean

D
Mode = 3 median - 2 mean
Question 9
1 / -0

For a moderately skewed distribution, quartile deviation and the standard deviation are related by

A
S.D.=3/2 Q.D.

B
S.D. =2/3 Q.D

C
S.D. = 4/3 Q. D

D
S.D = 3/4Q. D.

Solution

its a standard result

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Question 10
1 / -0

The mean of 50 observations is 36. If two observations 30 and 42 are deleted, then the mean of the remaining observations is

A
48

B
36

C
38

D
None of these
Question 11
1 / -0

You are collecting data from newspapers and magazines about price fluctuations of a branded product. What type of data are you referring to?

A
Primary data

B
Secondary data

C
Frequency distribution

D
None of these
Question 12
1 / -0

If r is the correlation coefficient, then

A
r ≥ 1

B
r ≤ 1

C
|r| ≥ 1

D
|r| ≤ 1

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Re-Attempt Weekly Quiz Competition

Statistics Test - 2

Result

Statistics Test - 2

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Rank

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SHARING IS CARING

Question 1

10

50

30

20

Question 2

σ + 10

10 σ

σ

none of these

Question 3

4.5

13.5

9

none of these

Question 4

Percentile

Quartile

Standard deviation

Mode

Question 5

√V

±√V

–√V

V2

Question 6

mean

median

mode

none of these

Question 7

9

- 9

- 4

4

Solution

Question 8

Mode = median - 2 mean

Mode = 2 median - mean

Mode = 2 median - 3 mean

Mode = 3 median - 2 mean

Question 9

S.D.=3/2 Q.D.

S.D. =2/3 Q.D

S.D. = 4/3 Q. D

S.D = 3/4Q. D.

Solution

Question 10

48

36

38

None of these

Question 11

Primary data

Secondary data

Frequency distribution

None of these

Question 12

r ≥ 1

r ≤ 1

|r| ≥ 1

|r| ≤ 1

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