Measures of Dispersion Test

Result

Measures of Dispersion Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

Mean deviation of $$6, 8, 12, 15, 10, 9$$ through mean is:

A
$$10$$

B
$$2.33$$

C
$$2$$

D
None of these

Solution

$$\overline { x } =\cfrac { 6+8+12+15+10+9 }{ 6 } =\cfrac { 60 }{ 6 } $$
$$ \overline { x } = 10$$
Mean deviation about mean $$= \cfrac { 1 }{ 6 } \left[ \left| 6-10 \right| +\left| 8-10 \right| +\left| 12-10 \right| +\left| 15-10 \right| +\left| 10-10 \right| +\left| 9-10 \right| \right]$$
$$ = \cfrac { 1 }{ 6 } (14)$$
$$ = 2.33$$
Question 2
1 / -0

Inter Quartile Range =

A
Difference between the upper and lower quartiles

B
Q(3) - Q(1)

C
Both A and B

D
Q(2)-Q(1)
Question 3
1 / -0

Directions For Questions

Factory $$A$$ $$B$$
Number of Workers $$4000$$ $$5000$$
Mean Wages $$3500$$ $$3500$$
Variance in wages $$64$$ $$81$$

...view full instructions

Find the Coefficient of Variation of Factory $$A$$.

A
$$0.22857 \%$$

B
$$0.25758 \%$$

C
$$0.39462 \%$$

D
$$0.82547 \%$$

Solution

Coefficient of Variation, $$C.V=\dfrac{S.D}{Mean} \times 100 \%$$
So, $$C.V_A=\dfrac{S.D_A}{Mean_A} \times 100 \%$$

$$\therefore C.V_A=\dfrac{\sqrt {64}}{3500} \times 100 \%$$.
$$\therefore C.V_A=0.22857 \%$$.
Ans-Option $$A$$.
Question 4
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Which of the following is true?

A
Quartile Deviation can generally be calculated for open-ended distributions

B
It is unduly affected by extreme values

C
Both A and B

D
None of these
Question 5
1 / -0

Which of the following is true?

A
Relative measures are free from the units in which the values have been expressed

B
Relative measures can be compared even across different groups having different units of measurement

C
Both A and B

D
None
Question 6
1 / -0

_________ is the most commonly used relative measure of dispersion.

A
Coefficient of Mean Deviation

B
Coefficient of Range

C
Coefficient of Quartile Deviation

D
Coefficient of Variation
Question 7
1 / -0

Relative counterpart of Quartile Deviation is _______.

A
inter quartile deviation

B
coefficient of quartile deviation

C
coefficient of range

D
none of these
Question 8
1 / -0

What are the Weaknesses of absolute measures of dispersion?

A
Absolute measures may give misleading ideas about the extent of variation specially when the averages differ significantly

B
They give the answer in the units in which original values are expressed

C
Both A and B

D
None of these
Question 9
1 / -0

Quartile Deviation =

A
Half of the Inter-Quartile Range

B
[ Q(3) - Q(1) ] / 2

C
Both A and B

D
Q(3) - Q(1)
Question 10
1 / -0

Two measures which are based upon deviation of the values from their average are _______ and _______.

A
range, quartile deviation

B
mean deviation, quartile deviation

C
mean deviation, standard deviation

D
standard deviation, quartile deviation

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Re-Attempt Weekly Quiz Competition

Factory	$$A$$	$$B$$
Number of Workers	$$4000$$	$$5000$$
Mean Wages	$$3500$$	$$3500$$
Variance in wages	$$64$$	$$81$$

Measures of Dispersion Test - 10

Result

Measures of Dispersion Test - 10

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SHARING IS CARING

Question 1

$$10$$

$$2.33$$

$$2$$

None of these

Solution

Question 2

Difference between the upper and lower quartiles

Q(3) - Q(1)

Both A and B

Q(2)-Q(1)

Question 3

$$0.22857 \%$$

$$0.25758 \%$$

$$0.39462 \%$$

$$0.82547 \%$$

Solution

Question 4

Quartile Deviation can generally be calculated for open-ended distributions

It is unduly affected by extreme values

Both A and B

None of these

Question 5

Relative measures are free from the units in which the values have been expressed

Relative measures can be compared even across different groups having different units of measurement

Both A and B

None

Question 6

Coefficient of Mean Deviation

Coefficient of Range

Coefficient of Quartile Deviation

Coefficient of Variation

Question 7

inter quartile deviation

coefficient of quartile deviation

coefficient of range

none of these

Question 8

Absolute measures may give misleading ideas about the extent of variation specially when the averages differ significantly

They give the answer in the units in which original values are expressed

Both A and B

None of these

Question 9

Half of the Inter-Quartile Range

[ Q(3) - Q(1) ] / 2

Both A and B

Q(3) - Q(1)

Question 10

range, quartile deviation

mean deviation, quartile deviation

mean deviation, standard deviation

standard deviation, quartile deviation

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