The formula to find the median of a grouped data is $\ldots \ldots \ldots \ldots .$
- A$M = 3Z - 2\bar{x}$
- B$M = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$
- C$M = l + \left( \frac{\frac{n}{2} - cf}{f_1 - f_2} \right) \times h$
- D$M = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right) \times h$
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Similar Questions
Find 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 Solution$A$ life insurance agent found the following data for the distribution of ages of $100$ policy holders. Calculate the median age,if policies are given only to persons having age $18$ years onwards but less than $60$ years.
Age (in years) Number of policy holders Below $20$ $2$ Below $25$ $6$ Below $30$ $24$ Below $35$ $45$ Below $40$ $78$ Below $45$ $89$ Below $50$ $92$ Below $55$ $98$ Below $60$ $100$
| Age (in years) | Number of policy holders |
| Below $20$ | $2$ |
| Below $25$ | $6$ |
| Below $30$ | $24$ |
| Below $35$ | $45$ |
| Below $40$ | $78$ |
| Below $45$ | $89$ |
| Below $50$ | $92$ |
| Below $55$ | $98$ |
| Below $60$ | $100$ |
Difficult
View SolutionIn the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$n = \ldots \ldots \ldots$
Easy
View SolutionIn the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$h = \ldots \ldots \ldots$
Easy
View SolutionFind the median of the following frequency distribution:
Class Frequency $(f)$ $110-120$ $6$ $120-130$ $25$ $130-140$ $48$ $140-150$ $72$ $150-160$ $116$ $160-170$ $60$ $170-180$ $38$ $180-190$ $22$ $190-200$ $3$
| Class | Frequency $(f)$ |
|---|---|
| $110-120$ | $6$ |
| $120-130$ | $25$ |
| $130-140$ | $48$ |
| $140-150$ | $72$ |
| $150-160$ | $116$ |
| $160-170$ | $60$ |
| $170-180$ | $38$ |
| $180-190$ | $22$ |
| $190-200$ | $3$ |
Difficult
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