A football player scored the following number of goals in the 10 matches :
1, 3, 2, 5, 8, 6, 1, 4, 7, 9
Since the number of matches is 10 (an even number), therefore, the median
= (5th observation + 6th observation)/2
= (8 + 6)/2 = 7
Is it the correct answer and why?

Solution:

The given data is

1, 3, 2, 5, 8, 6, 1, 4, 7, 9

By arranging it

1, 1, 2, 3, 4, 5, 6, 7, 8, 9

Number of observations is 10 which is even

Median = (n/2)th observation + (n/2 + 1)th observation/2

Substituting the values

Median = (10/2)th observation + (10/2 + 1)th observation/2

Median = (5th observation + 6th observation)/2

Median = (4 + 5)/2

So we get

Median = 9/2

Median = 4.5

Therefore, 7 is not the correct answer as the data has to be arranged in ascending or descending order before determining the median.

✦ Try This: A football player scored the following number of goals in the 10 matches: 2, 5, 1, 7, 6, 2, 4,

Since the number of matches is 8 (an even number), therefore, the median

= (3rd observation + 4th observation)/2

= (1 + 7)/2 = 4

Is it the correct answer and why?

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

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NCERT Exemplar Class 9 Maths Exercise 14.2 Problem 4

A football player scored the following number of goals in the 10 matches : 1, 3, 2, 5, 8, 6, 1, 4, 7, 9. Since the number of matches is 10 (an even number), therefore, the median = (5th observation + 6th observation)/2 = (8 + 6)/2 = 7. Is it the correct answer and why?

Summary:

A football player scored the following number of goals in the 10 matches 1, 3, 2, 5, 8, 6, 1, 4, 7, 9, Since the number of matches is 10 (an even number), therefore, the median = (5th observation + 6th observation)/2 = (8 + 6)/2 = 7. It is not correct as the data has to be arranged in ascending or descending order before determining the median

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