The mean of a data set comprising $16$ observations is $16$. If one observation with value $16$ is deleted and three new observations with values $3, 4,$ and $5$ are added to the data,then the mean of the resultant data is:
- A$14$
- B$16.8$
- C$16$
- D$15.8$
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If the mean and the variance of $6, 4, a, 8, b, 12, 10, 13$ are $9$ and $9.25$ respectively,then $a+b+ab$ is equal to:
If the arithmetic mean of the following frequency distribution is $50$,find the values of $f_1$ and $f_2$.
Class Frequency $0 - 20$ $17$ $20 - 40$ $f_1$ $40 - 60$ $32$ $60 - 80$ $f_2$ $80 - 100$ $19$ Total $120$
| Class | Frequency |
| $0 - 20$ | $17$ |
| $20 - 40$ | $f_1$ |
| $40 - 60$ | $32$ |
| $60 - 80$ | $f_2$ |
| $80 - 100$ | $19$ |
| Total | $120$ |
If the mean of the following frequency distribution is $2.6$,find the value of $f$.
$x_i$ $1$ $2$ $3$ $4$ $5$ $f_i$ $5$ $4$ $f$ $2$ $3$
| $x_i$ | $1$ | $2$ | $3$ | $4$ | $5$ |
| $f_i$ | $5$ | $4$ | $f$ | $2$ | $3$ |
Medium
View SolutionAn analysis of monthly wages paid to the workers of two jute mills $A$ and $B$ gives the following data:
Metric Mill-$A$ Mill-$B$ No. of workers $500$ $600$ Average daily wage (in rupees) $186$ $175$ Variance of distribution of wages $81$ $100$
Then:
| Metric | Mill-$A$ | Mill-$B$ |
| No. of workers | $500$ | $600$ |
| Average daily wage (in rupees) | $186$ | $175$ |
| Variance of distribution of wages | $81$ | $100$ |
Then:
If the median and the range of four numbers $\{x, y, 2x + y, x - y\}$,where $0 < y < x < 2y$,are $10$ and $28$ respectively,then the mean of the numbers is
DifficultJEE MAIN 2013
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