$A$ survey was conducted by a group of students as a part of their environment awareness programme,in which they collected the following data regarding the number of plants in $20$ houses in a locality. Find the mean number of plants per house.
Number of plants $0-2$ $2-4$ $4-6$ $6-8$ $8-10$ $10-12$ $12-14$ Number of houses $1$ $2$ $1$ $5$ $6$ $2$ $3$
Which method did you use for finding the mean,and why?
| Number of plants | $0-2$ | $2-4$ | $4-6$ | $6-8$ | $8-10$ | $10-12$ | $12-14$ |
| Number of houses | $1$ | $2$ | $1$ | $5$ | $6$ | $2$ | $3$ |
Which method did you use for finding the mean,and why?
- A$6.9$
- B$9.0$
- C$7.8$
- D$8.1$
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Similar Questions
The 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 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 distribution below gives the weights of $30$ students of a class. Find the median weight of the students.
Weight (in kg) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$ Number of students $2$ $3$ $8$ $6$ $6$ $3$ $2$
| Weight (in kg) | $40-45$ | $45-50$ | $50-55$ | $55-60$ | $60-65$ | $65-70$ | $70-75$ |
| Number of students | $2$ | $3$ | $8$ | $6$ | $6$ | $3$ | $2$ |
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 SolutionTo find out the concentration of $SO_{2}$ in the air (in $parts\, per\, million$,i.e.,$ppm$),the data was collected for $30$ localities in a certain city and is presented below:
Concentration of $SO_{2}$ (in $ppm$) Frequency $0.00-0.04$ $4$ $0.04-0.08$ $9$ $0.08-0.12$ $9$ $0.12-0.16$ $2$ $0.16-0.20$ $4$ $0.20-0.24$ $2$
Find the mean concentration of $SO_{2}$ in the air.
| Concentration of $SO_{2}$ (in $ppm$) | Frequency |
|---|---|
| $0.00-0.04$ | $4$ |
| $0.04-0.08$ | $9$ |
| $0.08-0.12$ | $9$ |
| $0.12-0.16$ | $2$ |
| $0.16-0.20$ | $4$ |
| $0.20-0.24$ | $2$ |
Find the mean concentration of $SO_{2}$ in the air.
Easy
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