Question Details

A child scored 75 marks in each of five subjects. What is the median marks obtained by the child?

Options

A

75

B

375

C

15

D

70

Show Answer

Correct Answer :

Option A

75

Solution :

The correct answer is 75.


Step-by-step Explanation:

1. Understand the Data:
The marks scored by the child in the 5 subjects are listed as follows:
75, 75, 75, 75, 75


2. Definition of Median:
The median is the middle value in a set of ordered data. When the number of observations, n, is odd, the median is given by the position:
(n+12)-th term.


3. Calculate the Median Position:
Here, total number of subjects n=5 (which is odd).
Median term position =5+12=3-rd term.


4. Find the Value:
Arranging the dataset in ascending order gives: 75, 75, 75, 75, 75.
The 3rd term in this ordered list is 75.


Therefore, the median marks obtained by the child is 75.

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