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Mean of a Grouped Data

To find the m...

Question

To find the median of grouped data, the cumulative frequency never can be greater than _____.

A

f_{m}

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B

N

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C

i

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D

f_{c}

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Solution

The correct option is B N
After adding the frequencies one by one we get cumulative frequecies, so it cannot be more than N, where N is the sum of all the frequencies.

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Q. To find the median from the grouped data, the frequencies are given as {4, 5, 1, 7}. Find the cumulative frequencies.

Q. In the median formula (grouped data), 'cf' represents the cumulative frequency of the class preceding the median class.

Q. In the following grouped frequency distribution table class marks are given.

Class Marks	$10$	$22$	$34$	$46$	$58$	$70$
Frequency	$6$	$14$	$20$	$21$	$9$	$5$

(i) Construct class intervals of the data. (Exclusive class intervals)
(ii) Construct less than cumulative frequencies and
(iii) Construct greater than cumulative frequencies

Q. Find the frequency of the median class if the following information is known for a grouped data whose median is = 45:

Lower limit of median class = 25
Sum of frequencies = 100
Cumulative frequency of the class preceding the median class = 30
And, class size = 10.

Q. Find the frequency of the median class if the following information is known for a grouped data whose median is = 45:

Lower real limit = 25
Sum of frequencies = 100
Cumulative frequency above the median class = 30
And, Size of the class interval = 10.

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