NCERT Exemplar Solutions Class 9 Mathematics Solutions for Statistics and Probability - Exercise 14.2 in Chapter 14 - Statistics and Probability
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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?
No.
The obtained data solution in the question not the correct answer, because the data has to be arranged in either ascending or descending order before finding the median.
Now,
Arranging the data in ascending order, we get,
1, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Here, number of observations is 10, which is even.
So, median = ((n/2)th observation + ((n/2)+1)th observation)/2
= ((10/2)th observation + ((10/2)+1)th observation)/2
= ((5)th observation + (6)th observation)/2
= (4 + 5)/2
= 9/2
= 4.5
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