MCQ Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 8

If the two observations are

1010, their arithmetic mean is _____.

0%
$10$
0%
$0$
0%
$5$
0%
None of the above

The following distribution of ages (in complete years) is obtained for the students of higher secondary.
The mode of the distribution is.

Age (in years)	15	16	17	18	19	20	21
Number of students	12	18	20	10	7	6	2

0%
$16$
0%
$17$
0%
$18$
0%
None of them

If the two observations are

10

$10$ and

- 10

$-10$ , their arithmetic mean is _____.

0%
$10$
0%
$20$
0%
$0$
0%
None of the above

The

Q_{3}

$Q_3$ 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

0%
$6$
0%
$5$
0%
$8$
0%
$9$

If the sum of n observations is

630

$630$ and their mean is

21

$21$ , then the value of n is ____.

0%
$21$
0%
$30$
0%
$15$
0%
$20$

The

8 t h

$8th$ decile of the following observations is

29, 18, 15, 30, 42, 35, 34, 28, 45, 34

$29, 18, 15, 30, 42, 35, 34, 28, 45, 34$

0%
$44.6$
0%
$40.6$
0%
$34.15$
0%
$38.15$

The combined mean of the following data is

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

0%
$52.8$
0%
$44$
0%
$52$
0%
None of them

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

0%
categorical
0%
on ordinal scale
0%
in ratios or proportions
0%
none of the above

If Z - M =

4

$4$ and Z + M =

60

$60$ , then M is _____.

0%
$26$
0%
$25$
0%
$28$
0%
$32$

The mean of seven observations is

18

$18$ . A new observation

16

$16$ is added. The mean of eight observations is _____.

0%
$22$
0%
$17.75$
0%
$18$
0%
None of them

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

0%
speed or rates
0%
heights or lengths
0%
binary values like 0 and $1$
0%
ratios or proportions

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

0%
Only quartile but not decile and percentile
0%
Quartile and decile but not percentile
0%
Decile and percentile but not quartile
0%
Quartile, decile and percentile, all the three

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

0%
A.M. = G.M = H.M
0%
$G.M \geq A.M = \geq H.M$
0%
$H.M \geq G.M. \geq A.M.$
0%
$A.M.\geq G.M. \geq H.M.$

In a discrete series having

(2 n + 1)

$(2n+1)$ observations, median is ______.

0%
nth observation
0%
$(n+1)$ th observation
0%
$[(n+2)/2]th$ observation
0%
$[(2n+1)/2]th$ observation

The mean of

10

$10$ observations is

48.4

$48.4$ . If by mistake one observation was taken as

54

$54$ instead of

45

$45$ .
The correct mean is ________.

0%
$32.5$
0%
$25.5$
0%
$47.5$
0%
$26.5$

The mean annual salary of all employees in a company is Rs

25, 000

$25,000$ . The mean salaries of male and female employees are Rs

27, 000

$27,000$ and

R s 17, 000

$Rs17,000$ respectively, the percentage of males and females employees by the company is _______.

0%
$80,20$
0%
$20,80$
0%
$30,70$
0%
$70,30$

Explanation

Given, the mean annual salary of all employees in a company is

R s 25, 000

$Rs\ 25,000$ & mean salaries of male and female employees are

R s 27, 000

$Rs\ 27,000$ and

R s 17, 000

$Rs\ 17,000$ respectively.

Let us consider mean salaries of male as

R s . 27000

$Rs. 27000$ and female as

17, 000

$17,000$

\frac{27, 000 x + 17, 000 y}{x + y} = 25, 000

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

27, 000 x + 17, 000 y = 25, 000 x + 25, 000 y

$27,000x+17,000y=25,000x+25,000y$

2000 x = 8000 y

$2000x=8000y$

x = 4 y

$x=4y$

Percentage of males

(4 y / 5 y) \times 100 = 80 %

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

Percentage of females

= 20 %

$=20\%$

The first quartile is also known as ______.

0%
median
0%
lower quartile
0%
mode
0%
third decile

The third quartile is also called ________.

0%
lower quartile
0%
median
0%
mode
0%
upper quartile

Sum of the absolute deviations about median is ______.

0%
zero
0%
minimum
0%
maximum
0%
one

In a moderately skewed distribution the arithmetic mean is

10

$10$ units and the mode is

7

$7$ units, the median is ______.

0%
$9$
0%
$5$
0%
$8$
0%
$6$

From which average sum of deviations is zero?

0%
Median
0%
Mean
0%
Mode
0%
None of them

Mean of a set of values is based on _______.

0%
all values
0%
$50$ percent values
0%
first and last value
0%
maximum & minimum value

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

0%
$4 : 1$
0%
$1 : 4$
0%
$3 : 1$
0%
$1 : 3$

Which average is most affected by extreme values?

0%
Geometric mean
0%
Harmonic mean
0%
Arithmetic mean
0%
Trimmed mean

If for an individual series, assumed mean, A =

25, \sum d x = - 21

$25, \sum dx = -21$ for dx = X - A and N =

7

$7$ , then the mean of the series is _____.

0%
$20$
0%
$21$
0%
$22$
0%
$6.57$

Mean deviation is minimum when deviations are taken from ______.

0%
mean
0%
median
0%
mode
0%
zero

Semi inter-quartile deviation is given by the formula _______.

0%
$Q_3 - Q_1$
0%
$\frac{Q_3 - Q_1}{8}$
0%
$\frac{(Q_3 - Q_1)}{2}$
0%
$\frac{(Q_3 - Q_1)}{4}$

The co-efficient of quartile deviation from the following observations is

10, 18, 20, 28, 15, 17, 22, 25, 29, 32, 34

$10, 18, 20, 28, 15, 17, 22, 25, 29, 32, 34$

0%
$0.26$
0%
$0.16$
0%
$0.06$
0%
$0.36$

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

0%
standard deviation
0%
range
0%
mean deviation
0%
coefficient of variation

The correct relation between variance and standard deviation (S.D) of a variable X is _______.

0%
S.D = Var
0%
$S.D =[ Var(X)^{\frac{1}{2}}]$
0%
$S.D = [Var(x)]^2$
0%
None of the above

CBSE Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 8 - MCQExams.com

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Practice Class 11 Commerce Economics Quiz Questions and Answers

CBSE Questions for Class 11 Commerce Economics Measures Of Dispersion Quiz 8 - MCQExams.com

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Practice Class 11 Commerce Economics Quiz Questions and Answers

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