The marks obtained by $30$ students of Class $X$ of a certain school in a Mathematics paper consisting of $100$ marks are presented in the table below. Find the mean of the marks obtained by the students.
Marks obtained $(x_{i})$ $10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$ Number of students $(f_{i})$ $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$
| Marks obtained $(x_{i})$ | $10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$ |
| Number of students $(f_{i})$ | $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$ |
- A$59.3$
- B$63.2$
- C$54.5$
- D$55.5$
Explore More
Similar Questions
$A$ student noted the number of cars passing through a spot on a road for $100$ periods each of $3\, \text{minutes}$ and summarized it in the table given below. Find the mode of the data:
Number of cars $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $7$ $14$ $13$ $12$ $20$ $11$ $15$ $8$
| Number of cars | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $7$ | $14$ | $13$ | $12$ | $20$ | $11$ | $15$ | $8$ |
Medium
View SolutionThe wickets taken by a bowler in $10$ cricket matches are as follows:
$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$
Find the mode of the data.
$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$
Find the mode of the data.
Easy
View SolutionThe following table gives the literacy rate (in percentage) of $35$ cities. Find the mean literacy rate.
Literacy rate (in $\%$) $45-55$ $55-65$ $65-75$ $75-85$ $85-95$ Number of cities $3$ $10$ $11$ $8$ $3$
| Literacy rate (in $\%$) | $45-55$ | $55-65$ | $65-75$ | $75-85$ | $85-95$ |
| Number of cities | $3$ | $10$ | $11$ | $8$ | $3$ |
Difficult
View SolutionThe distribution below gives the weights of $30$ students of a class. Find the median weight of the students.
Weight (in kg) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$ Number of students $2$ $3$ $8$ $6$ $6$ $3$ $2$
| Weight (in kg) | $40-45$ | $45-50$ | $50-55$ | $55-60$ | $60-65$ | $65-70$ | $70-75$ |
| Number of students | $2$ | $3$ | $8$ | $6$ | $6$ | $3$ | $2$ |
Medium
View Solution$A$ survey was conducted by a group of students as a part of their environment awareness programme,in which they collected the following data regarding the number of plants in $20$ houses in a locality. Find the mean number of plants per house.
Number of plants $0-2$ $2-4$ $4-6$ $6-8$ $8-10$ $10-12$ $12-14$ Number of houses $1$ $2$ $1$ $5$ $6$ $2$ $3$
Which method did you use for finding the mean,and why?
| Number of plants | $0-2$ | $2-4$ | $4-6$ | $6-8$ | $8-10$ | $10-12$ | $12-14$ |
| Number of houses | $1$ | $2$ | $1$ | $5$ | $6$ | $2$ | $3$ |
Which method did you use for finding the mean,and why?
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo