From the following data identify the median class $:$

Time(hour)
$5 - 15$
$15 - 25$
$25 - 35$
$35 - 45$
$45 - 55$
$55 - 65$
Frequency
$20$
$28$
$17$
$12$
$6$
$17$

15 - 25

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25 - 35

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35 - 45

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45 - 55

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Solution

The correct option is
B
$25 - 35$

To find the median class $:$
First add the total number of frequencies.
Here, $f = 20 + 28 + 17 + 12 + 6 + 17 = 100$
$= \frac{(T o t a l n u m b e r o f f r e q u e n c y)}{2}$
$= \frac{(100)}{2} = 50$
Hence, value 50 lies in the class interval $25 - 35$ from a cumulative frequency table.

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Similar questions

Q. Compute quartile deviation for each of the following tables.

Class interval	frequency
$5 - 15$	$11$
$15 - 25$	$5$
$25 - 35$	$15$
$35 - 45$	$9$
$45 - 55$	$22$
$55 - 65$	$8$
$67 - 75$	$17$

Find the mean of the following data, using step-deviation method:
$\begin{matrix} Class & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 Frequency & 6 & 10 & 16 & 15 & 24 & 8 & 7 \end{matrix}$

Q. Calculate the median from the following data

Rent (in Rs)	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$	$65 - 75$	$75 - 85$	$85 - 95$
No. of Houses	$8$	$10$	$15$	$25$	$40$	$20$	$15$	$7$

Q. The following is the distribution of the size of certain farms from a taluka (tehasil). Find median size of farms.

Size of Farms(in acres)	Number of Farms
$5 - 15$	$7$
$15 - 25$	$12$
$25 - 35$	$17$
$35 - 45$	$25$
$45 - 55$	$31$
$55 - 65$	$5$
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Class intervals / Frequency

15-25. 6

25-35. 11

35-45 . 7

45-55. 4

55-65. 4

65-75. 2

75-85 . 1

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Time(hour)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
Frequency	$20$	$28$	$17$	$12$	$6$	$17$

From the following data identify the median class:Time(hour)5−15 15−25 25−35 35−45 45−55 55−65Frequency20281712617

The correct option is B 25−35To find the median class:First add the total number of frequencies.Here, f=20+28+17+12+6+17=100 =(Totalnumberoffrequency)2 =(100)2=50Hence, value 50 lies in the class interval 25−35 from a cumulative frequency table.

From the following data identify the median class $:$

Time(hour)
$5 - 15$
$15 - 25$
$25 - 35$
$35 - 45$
$45 - 55$
$55 - 65$
Frequency
$20$
$28$
$17$
$12$
$6$
$17$