CTET 2 Math and Science Dec 2019 Paper

Question : 47 of 120

Marks: +1, -0

What is the mean of the median, mode and range for the data given below?
11, 25, 0, 8, 25, 30, 44, 50, 30, 18, 20, 17, 11, 9, 24, 25, 29

Validate

Solution:

Arranging the given data in ascending order:
0, 8, 9, 11, 11, 17, 18, 20, 24, 25, 25, 25, 29, 30, 30, 44, 50
Here, n = number of terms = 17
∴ Median

= {n+1}/2

th term

= {17+ 1}/2

= 9th term = 24
and, Mode = 25 (maximum three time)
and, Range = (Highest score – Lowest score)
= 50 – 0 = 50
Mean of the median, mode and range for the data

= \text"Median+ Mode +Range"/3

={ 24 +25+ 50}/3

= 99/3= 33.

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