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.
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Similar Questions
Find the median of the following frequency distribution:
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $2$ | $6$ | $8$ | $16$ | $20$ | $18$ | $16$ | $14$ |
Difficult
View SolutionThe weight of coffee in $70$ packets is shown in the following table:
Weight (in $g$) Number of packets $200-201$ $12$ $201-202$ $26$ $202-203$ $20$ $203-204$ $9$ $204-205$ $2$ $205-206$ $1$
Determine the modal weight (in $g$).
| Weight (in $g$) | Number of packets |
| $200-201$ | $12$ |
| $201-202$ | $26$ |
| $202-203$ | $20$ |
| $203-204$ | $9$ |
| $204-205$ | $2$ |
| $205-206$ | $1$ |
Determine the modal weight (in $g$).
Easy
View SolutionThe mean of the first ten natural numbers is ........
Medium
View SolutionThe times,in seconds,taken by $150$ athletes to run a $110\, m$ hurdle race are tabulated below:
Class (seconds) $13.8-14.0$ $14.0-14.2$ $14.2-14.4$ $14.4-14.6$ $14.6-14.8$ $14.8-15.0$ Frequency $2$ $4$ $5$ $71$ $48$ $20$
The number of athletes who completed the race in less than $14.6\, s$ is:
| Class (seconds) | $13.8-14.0$ | $14.0-14.2$ | $14.2-14.4$ | $14.4-14.6$ | $14.6-14.8$ | $14.8-15.0$ |
| Frequency | $2$ | $4$ | $5$ | $71$ | $48$ | $20$ |
The number of athletes who completed the race in less than $14.6\, s$ is:
Easy
View SolutionThe mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $7$ $12$ $x$ $28$ $y$ $9$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ |
| Frequency | $7$ | $12$ | $x$ | $28$ | $y$ | $9$ |
Medium
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