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 $60$ $80$ $35$ $25$

Open in App

Solution

The maximum class frequency = $80$
The class corresponding to this frequency is $25 - 30$
So,the modal class is $25 - 30$
L(the modal class lower limit) = $25$
$f_{1}$ (frequency of the modal class) = $80$
$f_{0}$ (frequency of the preceding modal class) = $60$
$f_{2}$ (frequency of the succeeding modal class) = $35$
h(class size) = $5$
Mode = $L + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$
$⟹ 25 + \frac{20}{13} = 25 + 1.5384 = 26.5834$

Suggest Corrections

Similar questions

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

(Age in years)	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$
No. of persons	$10$	$60$	$50$	$30$	$5$	$5$

35

Age	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
Number of persons	$170$	$110$	$80$	$45$	$40$	$35$

400

32

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

(x - y)

Age	20−25	25−30	30−35	35−40	40−45	45−50	50−55	55−60
No. Persons	50	70	100	180	150	120	70	60

Join BYJU'S Learning Program

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