In the formula $\bar{x} = a + h \left( \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \right)$,for finding the mean of grouped frequency distribution,$u_{i}$ is equal to
- A$\frac{x_{i} + a}{h}$
- B$\frac{x_{i} - a}{h}$
- C$h(x_{i} - a)$
- D$\frac{a - x_{i}}{h}$
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Similar Questions
Calculate 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 SolutionFind the mean,median,and mode of the following frequency distribution:
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ Frequency $5$ $27$ $58$ $20$ $10$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
|---|---|---|---|---|---|
| Frequency | $5$ | $27$ | $58$ | $20$ | $10$ |
Medium
View SolutionThe median of the following frequency distribution is $49$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $2$ $6$ $8$ $x$ $20$ $18$ $y$ $14$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $2$ | $6$ | $8$ | $x$ | $20$ | $18$ | $y$ | $14$ |
Medium
View SolutionThe mean of the following frequency distribution is $65$ and the total frequency is $100$. Find the missing frequencies $f_{1}$ and $f_{2}$.
Class $15-35$ $35-55$ $55-75$ $75-95$ $95-115$ Frequency $17$ $f_1$ $32$ $f_2$ $19$
| Class | $15-35$ | $35-55$ | $55-75$ | $75-95$ | $95-115$ |
| Frequency | $17$ | $f_1$ | $32$ | $f_2$ | $19$ |
Medium
View SolutionFind the median of the following frequency distribution:
Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$ Frequency $5$ $15$ $20$ $30$ $20$ $8$
| Class | $60-70$ | $70-80$ | $80-90$ | $90-100$ | $100-110$ | $110-120$ |
| Frequency | $5$ | $15$ | $20$ | $30$ | $20$ | $8$ |
Medium
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