Measures of Dispersion Test

Result

Measures of Dispersion Test - 28

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Weekly Quiz Competition

Question 1
1 / -0

If the sum of n observations is $$630$$ and their mean is $$21$$, then the value of n is ____.

A
$$21$$

B
$$30$$

C
$$15$$

D
$$20$$
Question 2
1 / -0

The $$8th$$ decile of the following observations is
$$29, 18, 15, 30, 42, 35, 34, 28, 45, 34$$

A
$$44.6$$

B
$$40.6$$

C
$$34.15$$

D
$$38.15$$
Question 3
1 / -0

Which of the following relation is true between $$3^{rd}$$ decile and $$30^{th}$$ percentile?

A
$$D_7 = P_{70}$$

B
$$D_7 = P_{30}$$

C
$$D_3 = P_{30}$$

D
$$D_3 = P_{70}$$
Question 4
1 / -0

The combined mean of the following data is
Group A B C
Number of observations 400 250 350
Mean 52 44 60

A
$$52.8$$

B
$$44$$

C
$$52$$

D
None of them
Question 5
1 / -0

Geometric mean is a good measure of central value if the date are _______.

A
categorical

B
on ordinal scale

C
in ratios or proportions

D
none of the above
Question 6
1 / -0

The mean of seven observations is $$18$$. A new observation $$16$$ is added. The mean of eight observations is _____.

A
$$22$$

B
$$17.75$$

C
$$18$$

D
None of them
Question 7
1 / -0

Harmonic mean is better than other means if the data are for _________.

A
speed or rates

B
heights or lengths

C
binary values like 0 and $$1$$

D
ratios or proportions
Question 8
1 / -0

Can a quartile, a decile and a percentile be the median?

A
Only quartile but not decile and percentile

B
Quartile and decile but not percentile

C
Decile and percentile but not quartile

D
Quartile, decile and percentile, all the three
Question 9
1 / -0

The correct relationship between A.M., G.M. and H.M is _______.

A
A.M. = G.M = H.M

B
$$G.M \geq A.M = \geq H.M$$

C
$$H.M \geq G.M. \geq A.M.$$

D
$$A.M.\geq G.M. \geq H.M.$$

Solution
Question 10
1 / -0

In a discrete series having $$(2n+1)$$ observations, median is ______.

A
nth observation

B
$$(n+1)$$th observation

C
$$[(n+2)/2]th$$ observation

D
$$[(2n+1)/2]th$$ observation

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Group	A	B	C
Number of observations	400	250	350
Mean	52	44	60

Measures of Dispersion Test - 28

Result

Measures of Dispersion Test - 28

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Question 1

$$21$$

$$30$$

$$15$$

$$20$$

Question 2

$$44.6$$

$$40.6$$

$$34.15$$

$$38.15$$

Question 3

$$D_7 = P_{70}$$

$$D_7 = P_{30}$$

$$D_3 = P_{30}$$

$$D_3 = P_{70}$$

Question 4

$$52.8$$

$$44$$

$$52$$

None of them

Question 5

categorical

on ordinal scale

in ratios or proportions

none of the above

Question 6

$$22$$

$$17.75$$

$$18$$

None of them

Question 7

speed or rates

heights or lengths

binary values like 0 and $$1$$

ratios or proportions

Question 8

Only quartile but not decile and percentile

Quartile and decile but not percentile

Decile and percentile but not quartile

Quartile, decile and percentile, all the three

Question 9

A.M. = G.M = H.M

$$G.M \geq A.M = \geq H.M$$

$$H.M \geq G.M. \geq A.M.$$

$$A.M.\geq G.M. \geq H.M.$$

Solution

Question 10

nth observation

$$(n+1)$$th observation

$$[(n+2)/2]th$$ observation

$$[(2n+1)/2]th$$ observation

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