Is it true to say that the mean,mode,and median of grouped data will always be different? Justify your answer.
(N/A) No,it is not true to say that the mean,mode,and median of grouped data will always be different.
These three measures of central tendency can be the same depending on the nature of the data.
For example,in a perfectly symmetrical distribution (such as a normal distribution),the mean,median,and mode are equal.
Therefore,the values of these three measures depend entirely on the distribution of the data.
These three measures of central tendency can be the same depending on the nature of the data.
For example,in a perfectly symmetrical distribution (such as a normal distribution),the mean,median,and mode are equal.
Therefore,the values of these three measures depend entirely on the distribution of the data.
Explore More
Similar Questions
For a given frequency distribution,$\Sigma f_{i} u_{i} = -13$,$n = \Sigma f_{i} = 100$,$A = 62.5$ and $c = 15$. Then,mean $\bar{x} = \dots$
Easy
View SolutionFind the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:
Height (in $cm$) Frequency Cumulative frequency $150-155$ $12$ $a$ $155-160$ $b$ $25$ $160-165$ $10$ $c$ $165-170$ $d$ $43$ $170-175$ $e$ $48$ $175-180$ $2$ $f$ Total $50$ -
| Height (in $cm$) | Frequency | Cumulative frequency |
| $150-155$ | $12$ | $a$ |
| $155-160$ | $b$ | $25$ |
| $160-165$ | $10$ | $c$ |
| $165-170$ | $d$ | $43$ |
| $170-175$ | $e$ | $48$ |
| $175-180$ | $2$ | $f$ |
| Total | $50$ | - |
Medium
View SolutionFor a given frequency distribution,$\bar{x}=20, \Sigma f_{i} u_{i}=-50, n=100$ and $c=10$. Then,assumed mean $A = \ldots \ldots \ldots \ldots$
Medium
View SolutionCalculate the mean of the frequency distribution of the marks scored by $100$ students in a mathematics test:
Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ No. of students $20$ $10$ $20$ $30$ $20$
| Marks | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
| No. of students | $20$ | $10$ | $20$ | $30$ | $20$ |
Medium
View SolutionThe frequency distribution of marks obtained by $400$ students is given below. If the mean of the frequency distribution is $41.2$,find the missing frequencies $x$ and $y$.
Marks $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Number of students $26$ $26$ $x$ $110$ $84$ $y$ $36$ $32$
| Marks | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Number of students | $26$ | $26$ | $x$ | $110$ | $84$ | $y$ | $36$ | $32$ |
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