Question

given the scores (out of 25) of 9 students in a Monday test : 17,24,23,10,11,10,16,20,13​

Answer 1

Answer:

Ascending orders of scores is :

8, 10, 14, 17, 19, 20, 22, 23, 25

Now, new score = 8 + 10 + 14 + 17 + 19 + 20 + 22 + 23 + 25 / 9

= 158 / 9 = 17.5 marks

Median = (n + 1 / 2)th observation because n is odd

= (9 + 1 / 2)th observation

= 5th observation

= 19 marks.

Answer 2

Median of the students are as follows. Prove it in ascending order and then
Ascending orders of scores is :

8, 10, 14, 17, 19, 20, 22, 23, 25

Now, new score = 8 + 10 + 14 + 17 + 19 + 20 + 22 + 23 + 25 / 9

= 158 / 9 = 17.5 marks

Median = (n + 1 / 2)th observation because n is odd

= (9 + 1 / 2)th observation

= 5th observation

= 19 marks.

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