$A$ class teacher has the following absentee record of $40$ students of a class for the whole term. Find the mean number of $days$ a student was absent.
$\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text{Number of days} & 0-6 & 6-10 & 10-14 & 14-20 & 20-28 & 28-38 & 38-40 \\ \hline \text{Number of students} & 11 & 10 & 7 & 4 & 4 & 3 & 1 \\ \hline \end{array}$
$\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text{Number of days} & 0-6 & 6-10 & 10-14 & 14-20 & 20-28 & 28-38 & 38-40 \\ \hline \text{Number of students} & 11 & 10 & 7 & 4 & 4 & 3 & 1 \\ \hline \end{array}$
- A$16$
- B$15.5$
- C$12.48$
- D$13.41$
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$100$ surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:
Number of letters $1-4$ $4-7$ $7-10$ $10-13$ $13-16$ $16-19$ Number of surnames $6$ $30$ $40$ $16$ $4$ $4$
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also,find the modal size of the surnames.
| Number of letters | $1-4$ | $4-7$ | $7-10$ | $10-13$ | $13-16$ | $16-19$ |
| Number of surnames | $6$ | $30$ | $40$ | $16$ | $4$ | $4$ |
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames. Also,find the modal size of the surnames.
Difficult
View SolutionThe marks distribution of $30$ students in a mathematics examination is given in the table. Find the mode of this data. Also,compare and interpret the mode and the mean.
Class interval $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$ Number of students $2$ $3$ $7$ $6$ $6$ $6$
| Class interval | $10-25$ | $25-40$ | $40-55$ | $55-70$ | $70-85$ | $85-100$ |
| Number of students | $2$ | $3$ | $7$ | $6$ | $6$ | $6$ |
Medium
View SolutionIn a retail market,fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying numbers of mangoes. The following was the distribution of mangoes according to the number of boxes.
Number of mangoes $50$-$52$ $53$-$55$ $56$-$58$ $59$-$61$ $62$-$64$ Number of boxes $15$ $110$ $135$ $115$ $25$
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
| Number of mangoes | $50$-$52$ | $53$-$55$ | $56$-$58$ | $59$-$61$ | $62$-$64$ |
| Number of boxes | $15$ | $110$ | $135$ | $115$ | $25$ |
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
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 table below shows the daily expenditure on food of $25$ households in a locality.
Daily expenditure (in $Rs.$) $100-150$ $150-200$ $200-250$ $250-300$ $300-350$ Number of households $4$ $5$ $12$ $2$ $2$
Find the mean daily expenditure on food by a suitable method.
| Daily expenditure (in $Rs.$) | $100-150$ | $150-200$ | $200-250$ | $250-300$ | $300-350$ |
| Number of households | $4$ | $5$ | $12$ | $2$ | $2$ |
Find the mean daily expenditure on food by a suitable method.
Medium
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