(C) The mean and the median of a data set are measures of central tendency. They are not necessarily equal for all data sets. However,they can be equa

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) The mean and the median of a data set are measures of central tendency. They are not necessarily equal for all data sets. However,they can be equal for certain symmetric distributions or specific data sets. Therefore,they are sometimes equal. Hence,option $C$ is correct.

Class 11 Mathematics Statistics Relation between mean, median and mode

Easy

What is the relation between the mean and the median of a discrete data set?

AP EAMCET 2020 All AP EAMCET

A
They are always equal
B
They are always not equal
C
Sometimes they are equal
D
No relation exists between them

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Statistics

Subtopic

Relation between mean, median and mode

Previous Year

AP EAMCET 2020 Paper All AP EAMCET years →

Karl Pearson's coefficient of skewness of a distribution is $0.32$. Its standard deviation $(S.D.)$ is $6.5$ and the mean is $39.6$. The median of the distribution is:

Difficult

View Solution

The median is independent of the change of which of the following?

Medium

View Solution

$A$ set of numbers consists of three $4$'s,five $5$'s,six $6$'s,eight $8$'s,and seven $10$'s. The mode of this set of numbers is:

Easy

View Solution

Find the mode of the following frequency distribution.

Class $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$

$f_i$ $5$ $7$ $8$ $6$ $4$

Difficult

View Solution

What is the relationship between mean,median,and mode for a moderately skewed distribution?

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Class	$1 - 10$	$11 - 20$	$21 - 30$	$31 - 40$	$41 - 50$
$f_i$	$5$	$7$	$8$	$6$	$4$

What is the relation between the mean and the median of a discrete data set?

Similar Questions

Karl Pearson's coefficient of skewness of a distribution is $0.32$. Its standard deviation $(S.D.)$ is $6.5$ and the mean is $39.6$. The median of the distribution is:

The median is independent of the change of which of the following?

$A$ set of numbers consists of three $4$'s,five $5$'s,six $6$'s,eight $8$'s,and seven $10$'s. The mode of this set of numbers is:

Find the mode of the following frequency distribution. Class $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$ $f_i$ $5$ $7$ $8$ $6$ $4$

What is the relationship between mean,median,and mode for a moderately skewed distribution?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the mode of the following frequency distribution.

Class $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$

$f_i$ $5$ $7$ $8$ $6$ $4$