The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method. What does the mean signify?
Number of wickets $20$-$60$ $60$-$100$ $100$-$150$ $150$-$250$ $250$-$350$ $350$-$450$ Number of bowlers $7$ $5$ $16$ $12$ $2$ $3$
| Number of wickets | $20$-$60$ | $60$-$100$ | $100$-$150$ | $150$-$250$ | $250$-$350$ | $350$-$450$ |
| Number of bowlers | $7$ | $5$ | $16$ | $12$ | $2$ | $3$ |
- A$100.56$
- B$136.50$
- C$152.89$
- D$185.60$
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Similar Questions
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/$U$.$T$. | $6$ | $11$ | $7$ | $4$ | $4$ | $2$ | $1$ |
Medium
View SolutionThe following data provides information on the observed lifetimes (in $hours$) of $225$ electrical components:
Lifetimes (in hours) $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$ Frequency $10$ $35$ $52$ $61$ $38$ $29$
Determine the modal lifetimes of the components.
| Lifetimes (in hours) | $0-20$ | $20-40$ | $40-60$ | $60-80$ | $80-100$ | $100-120$ |
| Frequency | $10$ | $35$ | $52$ | $61$ | $38$ | $29$ |
Determine the modal lifetimes of the components.
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 gives the literacy rate (in percentage) of $35$ cities. Find the mean literacy rate.
Literacy rate (in $\%$) $45-55$ $55-65$ $65-75$ $75-85$ $85-95$ Number of cities $3$ $10$ $11$ $8$ $3$
| Literacy rate (in $\%$) | $45-55$ | $55-65$ | $65-75$ | $75-85$ | $85-95$ |
| Number of cities | $3$ | $10$ | $11$ | $8$ | $3$ |
Difficult
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
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