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# Construction of a cumulative frequency table is useful in determining the

a. mean

b. median

c. mode

d. all the above three measures

**Solution:**

Cumulative frequency is the total of a frequency and all frequencies in a frequency distribution until a certain defined class interval.

Cumulative frequency helps to find out the median of the series.

Therefore, the Cumulative frequency table is useful in determining the median.

**✦ Try This: **The median and mode of a frequency distribution are 525 and 500 then mean of same frequency distribution is a. 75, b. 107.5, c. 527.5, d. 537.5

We know that

Mode = 3 median - 2 mean

It is given that

Median = 525

Mode = 500

Substituting the values

500 = 3 (525) - 2mean

2 mean = 1575 - 500

2 mean = 1075

So we get

Mean = 1075/2 = 537.5

Therefore, the mean of the frequency distribution is 537.5.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.1 Sample Problem 1**

## Construction of a cumulative frequency table is useful in determining the a. mean, b. median, c. mode, d. all the above three measures

**Summary:**

Construction of a cumulative frequency table is useful in determining the median

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