Question 54
The marks in a subject for 12 students are as follows:
31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.
For the given data, find the
(a) Range
(b) Mean
(c) Median
(d) Mode

Open in App

Solution

Given data is 31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29.
Rearranging the given data in ascending order
17, 18, 23, 25, 29, 31, 35, 35, 35, 37, 38, 42
(a) Range = Highest observation - Lowest observation = 42 - 17 = 25
(b) Mean = $\frac{S u m o f a l l o b s e r v a t i o n s}{T o t a l n u m b e r o f o b s e r v a t i o n s}$
$= \frac{17 + 18 + 23 + 25 + 29 + 31 + 35 + 35 + 35 + 37 + 38 + 42}{12}$
$= \frac{365}{12} = 30.41$
(c) Here, n = 12 (even)
Median $= \frac{V a l u e o f (\frac{n}{2}) t h o b s e r v a t i o n + V a l u e o f (\frac{n}{2} + 1) t h o b s e r v a t i o n}{2}$
$= \frac{V a l u e o f 6 t h o b s e r v a t i o n + V a l u e o f 7 t h o b s e r v a t i o n}{2} = \frac{31 + 35}{2} = \frac{66}{2} = 33$
(d) Mode = Most frequent observation = 35

Suggest Corrections

Similar questions

Question 2
In a mathematics test given to 15 students, the following marks (out of 100) are recorded:
41,39,48,52, 46, 62,54, 40, 96,52,98, 40,42,52, 60
Find the mean,median and mode of this data.

Question 88

Study the pie chart given below depicting the marks scored by a student in an examination out of 54. Find the marks obtained by him in each subject. ?

Q. The marks obtained by