# The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

**Solution:**

We use the basic formula and definitions of mode and median to solve the problem.

Scores of 15 students in mathematics test are: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20.

Arranging scores in ascending order, we get

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20 , 23, 24, 25, 25

Mode - Mode of a given data is that value of observation that has the maximum occurrence or repetition i.e., most frequent.

Therefore, 20 has the highest occurrence.

∴ Mode = 20.

We have 15 observations given in total. Hence, the midmost observation will be the 8^{th} observation.

Median = Middlemost observation (in this case, 8^{th} observation)

∴ Median = 20

Yes, the mode and median of the given observations are the same.

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

**Video Solution:**

## The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?

NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.2 Question 1

**Summary:**

The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20. Mode and Median of the given observation is 20. Yes, the mode and median of the given observations are same.

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