NCERT Solutions for Class 9 Maths Chapter 13

Important NCERT Questions

Statistics

NCERT Books for Session 2022-2023

CBSE Board, UP Board and Other state Boards

EXERCISE 14.4

Page No:269

Questions No:1

# 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.

Share

Get Hindi Medium and English Medium NCERT Solution for Class 9 Maths to download.

Please follow the link to visit website for first and second term exams solutions.

https://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-13/

Mean = Sum of all observation/Total number of observations

= 2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3/10 = 28/10 = 2.8 goals

Arranging the data in ascending order:

O, 1, 2, 3, 3, 3, 3, 4, 4, 5

Number of observations = 10

10 is an even number. Therefore, the median = Mean of 5th[(n/2)th] term and 6th[(n/2 + 1)th] term.

Hence,

Median = 1/2(5th observation + 6th observation) = 1/2(3 + 3) = 3

Mode is the observation having maximum frequency. Here, the number 3 occurs maximum (4) times.

Hence, the mode of the observations is 3.