Measures of Dispersion Test

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Measures of Dispersion Test - 30

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Weekly Quiz Competition

Question 1
1 / -0

Sum of the absolute deviations about median is ______.

A
zero

B
minimum

C
maximum

D
one
Question 2
1 / -0

The variate values which divide a series (frequency distribution) into $$100$$ equal parts are called ______.

A
quintiles

B
quartiles

C
deciles

D
percentiles
Question 3
1 / -0

Mean of a set of values is based on _______.

A
all values

B
$$50$$ percent values

C
first and last value

D
maximum & minimum value
Question 4
1 / -0

The mean of first $$10$$ natural numbers is _______.

A
$$6.5$$

B
$$2.5$$

C
$$4.5$$

D
$$5.5$$
Question 5
1 / -0

The first quartile divides a frequency distribution in the ratio _____.

A
$$4 : 1$$

B
$$1 : 4$$

C
$$3 : 1$$

D
$$1 : 3$$
Question 6
1 / -0

Which average is most affected by extreme values?

A
Geometric mean

B
Harmonic mean

C
Arithmetic mean

D
Trimmed mean
Question 7
1 / -0

If for an individual series, assumed mean, A = $$25, \sum dx = -21$$ for dx = X - A and N = $$7$$, then the mean of the series is _____.

A
$$20$$

B
$$21$$

C
$$22$$

D
$$6.57$$
Question 8
1 / -0

The variate values which divide a series (frequency distribution) into ten equal parts are called _______.

A
quintiles

B
quartiles

C
deciles

D
percentiles
Question 9
1 / -0

The mean annual salary of all employees in a company is Rs$$25,000$$. The mean salaries of male and female employees are Rs$$27,000$$ and $$Rs17,000$$ respectively, the percentage of males and females employees by the company is _______.

A
$$80,20$$

B
$$20,80$$

C
$$30,70$$

D
$$70,30$$

Solution

Given, the mean annual salary of all employees in a company is $$Rs\ 25,000$$ & mean salaries of male and female employees are $$Rs\ 27,000$$ and $$Rs\ 17,000$$ respectively.

Let us consider mean salaries of male as $$Rs. 27000$$ and female as $$17,000$$

$$\dfrac{27,000x+17,000y}{x+y}=25,000$$
$$27,000x+17,000y=25,000x+25,000y$$
$$2000x=8000y$$

$$x=4y$$

Percentage of males $$(4y/5y)\times 100=80\%$$

Percentage of females $$=20\%$$
Question 10
1 / -0

For comparison of two different series, the best measure of dispersion is _________.

A
standard deviation

B
range

C
mean deviation

D
coefficient of variation

Solution

Coefficient of variation is the coefficient of dispersion based on the standard deviation of the statistical series. The coefficient of standard deviation is calculated by dividing the standard deviation of the series by its mean and then multiplying it by 100. It is regarded as the best measure of dispersion to compare two different series because it is expressed in percentage.

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Measures of Dispersion Test - 30

Result

Measures of Dispersion Test - 30

Score

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SHARING IS CARING

Question 1

zero

minimum

maximum

one

Question 2

quintiles

quartiles

deciles

percentiles

Question 3

all values

$$50$$ percent values

first and last value

maximum & minimum value

Question 4

$$6.5$$

$$2.5$$

$$4.5$$

$$5.5$$

Question 5

$$4 : 1$$

$$1 : 4$$

$$3 : 1$$

$$1 : 3$$

Question 6

Geometric mean

Harmonic mean

Arithmetic mean

Trimmed mean

Question 7

$$20$$

$$21$$

$$22$$

$$6.57$$

Question 8

quintiles

quartiles

deciles

percentiles

Question 9

$$80,20$$

$$20,80$$

$$30,70$$

$$70,30$$

Solution

Question 10

standard deviation

range

mean deviation

coefficient of variation

Solution

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