Advertisement Remove all ads

The following number of goals were scored by a team in a series of 10 matches:- 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores. - Mathematics

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

The following number of goals were scored by a team in a series of 10 matches:-

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

Advertisement Remove all ads

Solution

The number of goals scored by the team is

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

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

`"Mean of score "=(2+3+4+5+0+1+3+3+4+3)/10 = 28/10=2.8"goals"`

Arranging the number of goals in ascending order,

0, 1, 2, 3, 3, 3, 3, 4, 4, 5

The number of observations is 10, which is an even number. Therefore, median score will be the mean of 10/2 i.e., 5th and (10/2)+1 i.e., 6th observation while arranged in ascending or descending order.

`"Median score"="fifth observation + sixth observation"/2`

                    `= (3+3)/2`

                    `=6/2`

                     = 3

Mode of data is the observation with the maximum frequency in data.

Therefore, the mode score of data is 3 as it has the maximum frequency as 4 in the data.

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 1 | Page 269

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×