- Trending Categories
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
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.
Given:
The following number of goals were scored by a team in a series of 10 matches:
$2,3,4,5,0,1,3,3,4,3$
To do:
We have to find the mean, median and mode of these scores.
Solution:
We know that,
$\text{ Mean }=\frac{\text { Sum of all the observations }}{\text { Total number of observations}}$
Therefore,
Mean of the given scores $=\frac{2+3+4+5+0+1+3+3+4+3}{10}$
$=\frac{28}{10}$
$=2.8$
To find the median of the given data, we have to arrange the data in ascending order.
The given data in ascending order is $0, 1, 2, 3, 3, 3, 3, 4, 4, 5$
Here,
Number of observations $n = 10$ which is even
Therefore,
Median $= \frac{1}{2}[\frac{n}{2}th\ term+(\frac{n}{2}+1)th\ term]$ (when $n$ is even)
$\frac{n}{2}=\frac{10}{2}=5$
Median of the given scores $=\frac{1}{2}[5th\ term + 6th\ term]$
$=\frac{1}{2}[3+3]$
$=\frac{6}{2}$
$=3$
In the given data,
Frequency of $0$ is $1$
Frequency of $1$ is $1$
Frequency of $2$ is $1$
Frequency of $3$ is $4$
Frequency of $4$ is $2$
Frequency of $5$ is $1$
We know that,
Mode is the value or values in the data set that occur most frequently.
Therefore,
Mode of the given scores is $3$.
61 Views
