The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.
(N/A) No,this is not a correct statement. The median of ungrouped data and the median calculated from grouped data are not always the same. This is because the formula used for calculating the median of grouped data,$\text{Median} = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$,is based on the assumption that the observations within each class interval are uniformly distributed. In reality,the actual distribution of data within classes may not be uniform,leading to a slight difference between the two values.
Explore More
Similar Questions
The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$
Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$ Frequency $5$ $21$ $21$ $8$ $25$ $20$
| Class | $10-25$ | $25-40$ | $40-55$ | $55-70$ | $70-85$ | $85-100$ |
| Frequency | $5$ | $21$ | $21$ | $8$ | $25$ | $20$ |
Easy
View Solution$A$ survey regarding the heights (in $cm$) of $51$ girls of Class $X$ of a school was conducted and the following data was obtained:
Height (in $cm$) Number of girls Less than $140$ $4$ Less than $145$ $11$ Less than $150$ $29$ Less than $155$ $40$ Less than $160$ $46$ Less than $165$ $51$
Find the median height.
| Height (in $cm$) | Number of girls |
| Less than $140$ | $4$ |
| Less than $145$ | $11$ |
| Less than $150$ | $29$ |
| Less than $155$ | $40$ |
| Less than $160$ | $46$ |
| Less than $165$ | $51$ |
Find the median height.
Easy
View SolutionFor the following data,the median class is $\ldots \ldots \ldots$
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ Frequency $12$ $18$ $20$ $17$ $13$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
| Frequency | $12$ | $18$ | $20$ | $17$ | $13$ |
Easy
View SolutionThe median class of the following frequency distribution is ...........
Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $6$ $10$ $5$ $6$ $4$ $2$ $2$
| Class | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $6$ | $10$ | $5$ | $6$ | $4$ | $2$ | $2$ |
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 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