The marks in science of 13 students are 31,37,29,41,35,35,38,36,35,38,32,29,43 . Find the range, Median , Mean and Mode.

Given :

Marks in science of 13 students are 31,37,29,41,35,35,38,36,35,38,32,29,43.

To find :

We have to find the Range, Median , Mean and Mode.

Solution :

Arranging the given data in ascending order,

29,29,31,32,35,35,35,36,37,38,38,41,43.

We know that,

$Range = Maximum value-Minimum value$

$Median = Middle value$

$Mean = \frac{Sum of the observations}{Total number of observations}$

$Mode = The observation that repeats maximum number of times$

Therefore,

$Range = 43-29 = 14$.

$Median = 35$

$Mean = \frac{(29+29+31+32+35+35+35+36+37+38+38+41+43)}{13} = \frac{459}{13} = 35.30$

$Mode = 35 (Repeated 3 times)$.

Range of the given data is 14. 

Median of the given data is 35.

Mean of the given data is 35.30.

Mode of the given data is 35.

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Updated on: 10-Oct-2022

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