Advertisement Remove all ads

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. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

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.

Advertisement Remove all ads

Solution

The marks of 15 students in mathematics test are

41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60

`"Mean of data "="Sum of all observation"/"Total number of observations"`

                      `= (41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)/15`

                      `= 822/15 = 54.8`

Arranging the scores obtained by 15 students in an ascending order,

39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98

As the number of observations is 15 which is odd, therefore, the median of data will be (15 + 1)/2= 8thobservation whether the data is arranged in an ascending or descending order.

Therefore, median score of data = 52

Mode of data is the observation with the maximum frequency in data. Therefore, mode of this data is 52 having the highest frequency in data as 3.

Concept: Measures of Central Tendency
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 9 Maths
Chapter 14 Statistics
Exercise 14.4 | Q 2 | Page 269

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×