The number of employees in different age groups working in a company is tabulated below-Whine Age in years - Number of employeesll Wline20-25 - 20 Wline 25-30 - 15 Wline30-35 - 1211Wline 35-40 - 10 1Wline40-45 - 811Wline45-50 - 7 1Wlineend array What is the inter-quartile range of the ages-A- 7B- 14C- 12D- 10

The correct option is B 14[ Class Interval amp; Frequency amp; Cumulative Frequency; 20 25 amp; 20 ...

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Byju's Answer

Standard XI

Statistics

Quartile Deviation

The number of...

Question

The number of employees in different age groups working in a company is tabulated below.

$\begin{matrix} A g e (i n y e a r s) & N u m b e r o f e m p l o y e e s 20 - 25 & 20 25 - 30 & 15 30 - 35 & 12 35 - 40 & 10 40 - 45 & 8 45 - 50 & 7 \end{matrix}$

What is the inter-quartile range of the ages?

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Solution

The correct option is D 14
$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 20 - 25 & 20 & 20 25 - 30 & 15 & 35 30 - 35 & 12 & 47 35 - 40 & 10 & 57 40 - 45 & 8 & 65 45 - 50 & 7 & 72 \end{matrix}$

$\frac{N}{4} = 18$

Therefore, class corresponding to the first quartile is 20-25

$Q_{1} = L + \frac{\frac{N}{4} - c . f}{f} \times h = 20 + \frac{18 - 0}{20} \times 5 = 24.5$

$\frac{3 N}{4} = 54$

Therefore, class corresponding to the third quartile is 35-40

$Q_{3} = L + \frac{\frac{3 N}{4} - c . f}{f} \times h = 35 + \frac{54 - 47}{10} \times 5 = 38.5$

$I n t e r - q u a r t i l e r a n g e = \frac{Q_{3} - Q_{1}}{2} = 38.5 - 24.5 = 14$

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Find the mean employee age from the table below. Use assumed mean method.

$\begin{matrix} A g e (i n y e a r s) & N u m b e r o f e m p l o y e e s 20 - 25 & 20 25 - 30 & 15 30 - 35 & 12 35 - 40 & 10 40 - 45 & 10 45 - 50 & 8 \end{matrix}$

Q. Following data represents the age wise distribution of employees in office.

Age in years	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$	$50 - 55$	$55 - 60$
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Find the median age of employees.

Q. The age group and number of persons, who donated blood in a blood duration camp is given. Find the mode of ages of persons.

Age group(years)	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$
No. of persons	$60$	$80$	$35$	$25$

Q. For the data given below find graphically the following :
(a) First and Third quartile
(b) The central 50% limit of the age .
(c) The number of workers falling in the age group of 28 to 57 years.

Age in years	:	20-24	25-29	30-34	35-39	40-44	45-49
No.of workers	:	5	10	15	25	65	40

Age in years	:	50-54	55-59	60-64	65-69
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Q. The age distribution of

400

persons in a colony having median age

32

is given below

Age (in Years)	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
Frequency	$110$	$x$	$75$	$55$	$y$	$30$

Then,

(x - y)

is :

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The number of employees in different age groups working in a company is tabulated below. Age (in years)Number of employees20−252025−301530−351235−401040−45845−507 What is the inter-quartile range of the ages?