The points scored by a basket ball team in a series of matches are as follows:
17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28
Find the median and mode for the data.

Solution:

Given, the points scored by a basket ball team in a series of matched are

17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28

We have to find the median and mode for the data.

Arranging the points in ascending order,

2, 5, 7, 7, 8, 10, 10, 10, 14, 17, 18, 24, 25, 27, 28, 48

Total number of observations, n = 16

Here, n is even

The formula for median when n is even is given by

Median = [(n/2)^th observation + ((n/2) + 1)^th observation] / 2

So, median = [(16/2)^th observation + ((16/2) + 1)^th observation] / 2

= [8^th observation + (8 + 1)^th observation] / 2

= [8^th observation + 9^th observation] / 2

= (10 + 14)/2

= 24/2

= 12

Therefore, the median is 12.

Mode is defined as the observation which is repeated maximum number of times

We observe that, 10 is repeated 3 times

Therefore, the mode is 10.

✦ Try This: A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it. Find the probability that the ball drawn is not a red ball.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

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NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 14

The points scored by a basket ball team in a series of matches are as follows: 17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28. Find the median and mode for the data.

Summary:

The points scored by a basket ball team in a series of matches are as follows: 17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28. The median and mode for the data is 12 and 10 respectively

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