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# A die was thrown 15 times and the outcomes recorded were

5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2

Find the mean, median and mode of the data.

**Solution:**

Given, a die is thrown 15 times

The outcomes are 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2

We have to find the mean, median and mode of the __data__.

We know, mean = sum of all observation/number of observation

Sum of observation = 5 + 3 + 4 + 1 + 2 + 6 + 4 + 2 + 2 + 3 + 1 + 5 + 6 + 1 + 2

= 47

Number of observation = 15

Therefore, __Mean__ = 47/15 = 3.13

Arranging the data in __ascending order__, we get

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

If n is odd, then median = (n + 1)/2 th term

Number of observation = 15

Median = (15 + 1)/2 th term

= 16/2 th term

= 8th term

Therefore, Median = 3

A __mode__ is defined as the value that has a higher frequency in a given set of data.

1 occurs 3 times

2 occurs 4 times

3, 4, 5, 6 occurs 2 times

We observe that 2 occurs more frequently

Therefore, mode = 2

**✦ Try This: **A die was thrown 15 times and the outcomes recorded were 6, 5, 5, 1, 2, 3, 4, 3, 2, 4, 1, 3, 6, 1, 5. Find the mean.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 3

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 64**

## A die was thrown 15 times and the outcomes recorded were 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2. Find the mean, median and mode of the data

**Summary:**

A die was thrown 15 times and the outcomes recorded were 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2. The mean, median and mode of the data is 3.13, 3 and 2.

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