The standard deviation of the numbers $31, 32, 33, \ldots, 46, 47$ is
- A$\sqrt{\frac{17}{12}}$
- B$\sqrt{\frac{47^{2}-1}{12}}$
- C$2 \sqrt{6}$
- D$4 \sqrt{3}$
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Similar Questions
The mean of two samples of size $200$ and $300$ were found to be $25$ and $10$ respectively. Their standard deviations $(S.D.)$ are $3$ and $4$ respectively. Then,the variance of the combined sample of size $500$ is:
The variance of the first $10$ natural numbers which are multiples of $3$ is
Find the mean and variance for the following frequency distribution:
Classes $0-30$ $30-60$ $60-90$ $90-120$ $120-150$ $150-180$ $180-210$ $f_i$ $2$ $3$ $5$ $10$ $3$ $5$ $2$
| Classes | $0-30$ | $30-60$ | $60-90$ | $90-120$ | $120-150$ | $150-180$ | $180-210$ |
| $f_i$ | $2$ | $3$ | $5$ | $10$ | $3$ | $5$ | $2$ |
Difficult
View SolutionThe variance of the following frequency distribution is:
Classes $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $11$ $29$ $18$ $4$ $5$ $3$
| Classes | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ |
|---|---|---|---|---|---|---|
| Frequency | $11$ | $29$ | $18$ | $4$ | $5$ | $3$ |
If the mean of the frequency distribution is $28$,then its variance is $........$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ Frequency $2$ $3$ $x$ $5$ $4$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
| Frequency | $2$ | $3$ | $x$ | $5$ | $4$ |
DifficultJEE MAIN 2023
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