$A$ 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 $60$ | $100$ |
- A$35$
- B$35.76$
- C$25.56$
- D$35.33$
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Similar Questions
In the following distribution:
Monthly income range (in $Rs.$) Number of families Income more than $10000$ $100$ Income more than $13000$ $85$ Income more than $16000$ $69$ Income more than $19000$ $50$ Income more than $22000$ $33$ Income more than $25000$ $15$
The number of families having an income range (in $Rs.$) of $16000-19000$ is:
| Monthly income range (in $Rs.$) | Number of families |
| Income more than $10000$ | $100$ |
| Income more than $13000$ | $85$ |
| Income more than $16000$ | $69$ |
| Income more than $19000$ | $50$ |
| Income more than $22000$ | $33$ |
| Income more than $25000$ | $15$ |
The number of families having an income range (in $Rs.$) of $16000-19000$ is:
Easy
View SolutionDuring the medical check-up of $35$ students of a class,their weights were recorded as follows:
Weight (in kg) Number of students Less than $38$ $0$ Less than $40$ $3$ Less than $42$ $5$ Less than $44$ $9$ Less than $46$ $14$ Less than $48$ $28$ Less than $50$ $32$ Less than $52$ $35$
Draw a less than type ogive for the given data. Hence,obtain the median weight from the graph and verify the result by using the formula.
| Weight (in kg) | Number of students |
|---|---|
| Less than $38$ | $0$ |
| Less than $40$ | $3$ |
| Less than $42$ | $5$ |
| Less than $44$ | $9$ |
| Less than $46$ | $14$ |
| Less than $48$ | $28$ |
| Less than $50$ | $32$ |
| Less than $52$ | $35$ |
Draw a less than type ogive for the given data. Hence,obtain the median weight from the graph and verify the result by using the formula.
Medium
View Solution$A$ survey regarding the heights (in $cm$) of $51$ girls of Class $X$ of a school was conducted and the following data was obtained:
Height (in $cm$) Number of girls Less than $140$ $4$ Less than $145$ $11$ Less than $150$ $29$ Less than $155$ $40$ Less than $160$ $46$ Less than $165$ $51$
Find the median height.
| Height (in $cm$) | Number of girls |
| Less than $140$ | $4$ |
| Less than $145$ | $11$ |
| Less than $150$ | $29$ |
| Less than $155$ | $40$ |
| Less than $160$ | $46$ |
| Less than $165$ | $51$ |
Find the median height.
Easy
View SolutionCumulative frequency curve is also known as ........
Easy
View SolutionThe following table gives the production yield per hectare of wheat of $100$ farms of a village.
Production yield (in kg/ha) Number of farms $50-55$ $2$ $55-60$ $8$ $60-65$ $12$ $65-70$ $24$ $70-75$ $38$ $75-80$ $16$
Change the distribution to a 'more than type' distribution,and draw its ogive.
| Production yield (in kg/ha) | Number of farms |
|---|---|
| $50-55$ | $2$ |
| $55-60$ | $8$ |
| $60-65$ | $12$ |
| $65-70$ | $24$ |
| $70-75$ | $38$ |
| $75-80$ | $16$ |
Change the distribution to a 'more than type' distribution,and draw its ogive.
Medium
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