The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories $(U.T.)$ of India. Find the mean percentage of female teachers by all the three methods discussed in this section.
Percentage of female teachers $15$-$25$ $25$-$35$ $35$-$45$ $45$-$55$ $55$-$65$ $65$-$75$ $75$-$85$ Number of States/$U$.$T$. $6$ $11$ $7$ $4$ $4$ $2$ $1$
| Percentage of female teachers | $15$-$25$ | $25$-$35$ | $35$-$45$ | $45$-$55$ | $55$-$65$ | $65$-$75$ | $75$-$85$ |
| Number of States/$U$.$T$. | $6$ | $11$ | $7$ | $4$ | $4$ | $2$ | $1$ |
- A$45.78$
- B$39.71$
- C$56.5$
- D$47.30$
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Similar Questions
The following frequency distribution gives the monthly consumption of electricity of $68$ consumers of a locality. Find the median,mean,and mode of the data and compare them.
Monthly consumption (in units) Number of consumers $65-85$ $4$ $85-105$ $5$ $105-125$ $13$ $125-145$ $20$ $145-165$ $14$ $165-185$ $8$ $185-205$ $4$
| Monthly consumption (in units) | Number of consumers |
| $65-85$ | $4$ |
| $85-105$ | $5$ |
| $105-125$ | $13$ |
| $125-145$ | $20$ |
| $145-165$ | $14$ |
| $165-185$ | $8$ |
| $185-205$ | $4$ |
Difficult
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 SolutionThe following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is $Rs. 18$. Find the missing frequency $f$.
Daily pocket allowance (in $Rs.$) $11-13$ $13-15$ $15-17$ $17-19$ $19-21$ $21-23$ $23-25$ Number of children $7$ $6$ $9$ $13$ $f$ $5$ $4$
| Daily pocket allowance (in $Rs.$) | $11-13$ | $13-15$ | $15-17$ | $17-19$ | $19-21$ | $21-23$ | $23-25$ |
| Number of children | $7$ | $6$ | $9$ | $13$ | $f$ | $5$ | $4$ |
Difficult
View SolutionThe annual profits earned by $30$ shops of a shopping complex in a locality give rise to the following distribution:
Profit (Rs in lakhs) Number of shops (frequency) More than or equal to $5$ $30$ More than or equal to $10$ $28$ More than or equal to $15$ $16$ More than or equal to $20$ $14$ More than or equal to $25$ $10$ More than or equal to $30$ $7$ More than or equal to $35$ $3$
Draw both ogives for the data above. Hence,obtain the median profit.
| Profit (Rs in lakhs) | Number of shops (frequency) |
| More than or equal to $5$ | $30$ |
| More than or equal to $10$ | $28$ |
| More than or equal to $15$ | $16$ |
| More than or equal to $20$ | $14$ |
| More than or equal to $25$ | $10$ |
| More than or equal to $30$ | $7$ |
| More than or equal to $35$ | $3$ |
Draw both ogives for the data above. Hence,obtain the median profit.
Medium
View SolutionThe following table shows the ages of the patients admitted in a hospital during a year:
Age (in years) $5$-$15$ $15$-$25$ $25$-$35$ $35$-$45$ $45$-$55$ $55$-$65$ Number of patients $6$ $11$ $21$ $23$ $14$ $5$
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
| Age (in years) | $5$-$15$ | $15$-$25$ | $25$-$35$ | $35$-$45$ | $45$-$55$ | $55$-$65$ |
| Number of patients | $6$ | $11$ | $21$ | $23$ | $14$ | $5$ |
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Difficult
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