Measures of Dispersion Test

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Measures of Dispersion Test - 24

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Weekly Quiz Competition

Question 1
1 / -0

__________ is the positive square root of the mean of squared deviations from mean.

A
Mean Deviation

B
Standard Deviation

C
Quartile Deviation

D
None of the above
Question 2
1 / -0

What is standard error of mean defined as?

A
Standard deviation of the sampling distribution of mean

B
Standard deviation of data

C
Inter quartile range of the data

D
None of these
Question 3
1 / -0

The formula Of $$X^2$$ distribution is______________.

A
$${X^2} = \dfrac {{S}^{2}_{1}}{{S}^{2}_{2}}$$

B
$${X^2} = \dfrac {E}{{\Sigma}(O - E)^2}$$

C
$${X^2} = {\Sigma} \dfrac {E}{(E - O)^2}$$

D
$${X^2} = {\Sigma} \dfrac {(O - E)^2}{E}$$

Solution

The correct formula for Chi square distribution is given in option D, where O means the observed number in the table and E means the corresponding expected number.
Question 4
1 / -0

Range =

A
Largest value - Smallest value

B
Largest value divided by 2

C
Both A and B

D
None of the above

Solution

Range refers to the value of variation between the largest and the smallest values in a particular data set. It can be calculated as the difference between the upper limit and lower limit of a particular set of data.
Question 5
1 / -0

If the sample size is small, the curve may be__________.

A
a continuous one

B
more symmetrical

C
severely skewed to one side

D
none of the above

Solution

If the sample size of the population is small, then the curve would be skewed on one side and also as the sample size increases the sampling distribution of the mean gets narrower.
Question 6
1 / -0

Standard deviation is ________.

A
most widely used measure of dispersion

B
independent of origin

C
not independent of scale

D
all of these
Question 7
1 / -0

If the size of the sample increases, the curve becomes___________.

A
continuous

B
severely skewed to one side

C
more symmetrical

D
intermittent

Solution

In the curve, with the large sample size, there are more samples with a mean around the middle and fewer with sample means at the extreme, the curve becomes more symmetrical. Larger samples tend to have lower standard errors
Question 8
1 / -0

$${X}^2$$ test is equal to____________.

A
$${\sum_{i = 1}^{n}} {A{x}^1} = A{x}^1 + A{x}^2 + ... + A{x}^n$$

B
$$V = (r - 1) (e - 1)$$

C
$$\dfrac {{\Sigma}(O - E)^2}{E}$$

D
$$ r = \dfrac {{\Sigma}_{xy}}{\sqrt{{\Sigma}{{x}^2}{{y}^2}}}$$

Solution

The correct formula for the estimation of Chi-Square test is mentioned in Option C, where O represents the frequency observed while E represents the frequency expected.
Question 9
1 / -0

From the following detail find out coefficient of Quartile Deviation.
$$3=64,Q1=50$$

A
$$12.11$$%

B
$$12.28$$%

C
$$13.50$$%

D
$$12.08$$%
Question 10
1 / -0

According to ________, "Dispersion is the measure of variations of items".

A
A.L. Bowley

B
Spiegel

C
Simpson and Kafka

D
L.R. Connor

Solution

Dispersion means deviation from the central value. According to A.L .Bowley, “Dispersion is the measure of variation of the items”.

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Re-Attempt Weekly Quiz Competition

Measures of Dispersion Test - 24

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Measures of Dispersion Test - 24

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SHARING IS CARING

Question 1

Mean Deviation

Standard Deviation

Quartile Deviation

None of the above

Question 2

Standard deviation of the sampling distribution of mean

Standard deviation of data

Inter quartile range of the data

None of these

Question 3

$${X^2} = \dfrac {{S}^{2}_{1}}{{S}^{2}_{2}}$$

$${X^2} = \dfrac {E}{{\Sigma}(O - E)^2}$$

$${X^2} = {\Sigma} \dfrac {E}{(E - O)^2}$$

$${X^2} = {\Sigma} \dfrac {(O - E)^2}{E}$$

Solution

Question 4

Largest value - Smallest value

Largest value divided by 2

Both A and B

None of the above

Solution

Question 5

a continuous one

more symmetrical

severely skewed to one side

none of the above

Solution

Question 6

most widely used measure of dispersion

independent of origin

not independent of scale

all of these

Question 7

continuous

severely skewed to one side

more symmetrical

intermittent

Solution

Question 8

$${\sum_{i = 1}^{n}} {A{x}^1} = A{x}^1 + A{x}^2 + ... + A{x}^n$$

$$V = (r - 1) (e - 1)$$

$$\dfrac {{\Sigma}(O - E)^2}{E}$$

$$ r = \dfrac {{\Sigma}_{xy}}{\sqrt{{\Sigma}{{x}^2}{{y}^2}}}$$

Solution

Question 9

$$12.11$$%

$$12.28$$%

$$13.50$$%

$$12.08$$%

Question 10

A.L. Bowley

Spiegel

Simpson and Kafka

L.R. Connor

Solution

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