- 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
Find the missing frequency $p$ for the following distribution whose mean is 7.68.
| $x$: | 3 | 5 | 7 | 9 | 11 | 13 |
| $f$: | 6 | 8 | 15 | $p$ | 8 | 4. |
Given:
The mean of the given data is 7.68.
To do:
We have to find the value of $p$.
Solution:
| $x$ | $f$ | $f \times\ x$ |
| 3 | 6 | 18 |
| 5 | 8 | 40 |
| 7 | 15 | 105 |
| 9 | $p$ | $9p$ |
| 11 | 8 | 88 |
| 13 | 4 | 52 |
| Total | $41+p$ | $303+9p$ |
We know that,
Mean$=\frac{\sum fx}{\sum f}$
Therefore,
Mean $7.68=\frac{303+9p}{41+p}$
$7.68(41+p)=303+9p$
$314.88+7.68p=303+9p$
$9p-7.68p=314.88-303$
$p=\frac{11.88}{1.32}$
$p=\frac{1188}{132}$
$p=9$
The value of $p$ is $9$.
- Related Articles
- Find the missing frequency $(p)$ for the following distribution whose mean is 7.68.
- Find the missing value of $p$ for the following distribution whose mean is 12.58.$x$:581012$p$2025$f$:25822742.
- Find the missing value of $p$ for the following distribution whose mean is 12.58.
- Find the value of $p$ for the following distribution whose mean is 16.6.$x$:81215$p$202530$f$:121620241684.
- Find the value of $p$ for the following distribution whose mean is 16.6.
- Find the value of $p$, if the mean of the following distribution is 20.$x$:151719$20+p$23$f$:234$5p$6.
- If the mean of the following data is 15, find $p$.$x$:510152025$f$:6$p$6105.
- If the mean of the following data is 20.6 find the value of $p$:$x$:1015$p$2535$f$:3102575.
- Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50.$x$:1030507090$f$:17$f_1$32$f_2$19Total 120.
- Find the value of $p$, if the mean of the following distribution is 20.
- Calculate the mean for the following distribution:$x$:56789$f$:4814113.
- Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50.
- The mean of the following distribution is 18. Find the frequency f of the class 19-21.
- The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs. 18. Find the missing frequency $f$.
- If the mean of the following frequency distribution is 18, find the missing frequency.Class interval:11-1313-1515-1717-1919-2121-2323-25Frequency:36913$f$54.
Advertisements