- 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
If the mean of the following data is 18.75. Find the value of $p$.
$x_i$: | 10 | 15 | $p$ | 25 | 30 |
$f_i$: | 5 | 10 | 7 | 8 | 2. |
Given:
The arithmetic mean of the given data is 18.75.
To do:
We have to find the value of $p$.
Solution:
$x_i$ | $f_i$ | $f_i \times\ x_i$ |
10 | 5 | 50 |
15 | 10 | 150 |
$p$ | 7 | $7p$ |
25 | 8 | 200 |
30 | 2 | 60 |
Total | 32 | $460+7p$ |
We know that,
Mean$=\frac{\sum f_ix_i}{\sum f_i}$
Mean $18.75=\frac{460+7p}{32}$
$32(18.75)=460+7p$
$600=460+7p$
$7p=600-460$
$7p=140$
$p=\frac{140}{7}$
$p=20$
The value of $p$ is $20$.
Advertisements