Measures of Dispersion Test

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Measures of Dispersion Test - 40

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Weekly Quiz Competition

Question 1
1 / -0

If the coefficient of correlation between $$x,y$$ is $$0.7$$ and covariance is $$35$$ find the standard deviation of $$y$$ if the standard deviation of $$x$$ is $$5$$____.

A
$$10$$

B
$$9$$

C
$$8$$

D
$$11$$
Question 2
1 / -0

The coefficient correlation between x and y is 0.8, the covariance being 20. If the standard deviation of x is 4 find the standard deviation of y___.

A
6.25

B
10

C
11.25

D
9.10
Question 3
1 / -0

If Quartile deviation of a data is $$8$$, find Mean deviation____.

A
$$9.0$$

B
$$9.6$$

C
$$9.90$$

D
$$10.10$$
Question 4
1 / -0

If a population has a standard deviation of $$2.25$$, how large the sample should be to allow a maximum error of $$0.33$$ with $$95\%$$ confidence level?

A
$$252$$

B
$$201$$

C
$$220$$

D
$$178$$
Question 5
1 / -0

If the coefficient of correlation between x,y is 0.8 and covariance is 32 find the standard deviation of X if the standard deviation of y is 4___.

A
10

B
9

C
8

D
11
Question 6
1 / -0

The standard deviation of sample of 30 observations is 1532. If the value of each item of the observation is increased by 5. The new standard deviation will be ______.

A
same as original

B
increased by 5

C
reduced by 5

D
reduced by 5 times.
Question 7
1 / -0

The sum of the deviation of the individual data elements from their mean is always_________.

A
Equal to zero

B
Equal to one

C
Negative

D
Positive

Solution

Deviations are taken out by subtracting each value of the series by the central value of the series. So, all the deviations above the central value are negative whereas all the deviations below the central value are positive. Therefore, the sum of all the deviations will always be equal to zero.
Question 8
1 / -0

Which of the following relations among the location parameters does not hold?

A
$$Q_2 = Median$$

B
$$P_50 = Median$$

C
$$D_5 = Median$$

D
$$D_4 = Median$$
Question 9
1 / -0

The median for the following distribution is
X 2 3 4 5 6 7 8 9 10 11
Y 3 6 9 18 20 14 10 10 7 2

A
$$6$$

B
$$5$$

C
$$8$$

D
$$9$$
Question 10
1 / -0

The standard deviation of $$5$$ items is found to be $$15$$. What will be the standard deviation if the values of all the items are increased by $$5$$?

A
$$15$$

B
$$20$$

C
$$10$$

D
None of the above

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Re-Attempt Weekly Quiz Competition

Measures of Dispersion Test - 40

Result

Measures of Dispersion Test - 40

Score

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Rank

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SHARING IS CARING

Question 1

$$10$$

$$9$$

$$8$$

$$11$$

Question 2

6.25

10

11.25

9.10

Question 3

$$9.0$$

$$9.6$$

$$9.90$$

$$10.10$$

Question 4

$$252$$

$$201$$

$$220$$

$$178$$

Question 5

10

9

8

11

Question 6

same as original

increased by 5

reduced by 5

reduced by 5 times.

Question 7

Equal to zero

Equal to one

Negative

Positive

Solution

Question 8

$$Q_2 = Median$$

$$P_50 = Median$$

$$D_5 = Median$$

$$D_4 = Median$$

Question 9

$$6$$

$$5$$

$$8$$

$$9$$

Question 10

$$15$$

$$20$$

$$10$$

None of the above

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