$A$ student noted the number of cars passing through a spot on a road for $100$ periods each of $3\, \text{minutes}$ and summarized it in the table given below. Find the mode of the data:
Number of cars $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $7$ $14$ $13$ $12$ $20$ $11$ $15$ $8$
| Number of cars | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $7$ | $14$ | $13$ | $12$ | $20$ | $11$ | $15$ | $8$ |
- A$44.7$
- B$40$
- C$35.3$
- D$43.50$
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Similar Questions
During 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$A$ 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 $60$ | $100$ |
Difficult
View SolutionThe marks obtained by $30$ students of Class $X$ of a certain school in a Mathematics paper consisting of $100$ marks are presented in the table below. Find the mean of the marks obtained by the students.
Marks obtained $(x_{i})$ $10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$ Number of students $(f_{i})$ $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$
| Marks obtained $(x_{i})$ | $10, 20, 36, 40, 50, 56, 60, 70, 72, 80, 88, 92, 95$ |
| Number of students $(f_{i})$ | $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$ |
Easy
View SolutionThe following table gives the distribution of the lifetime of $400$ neon lamps:
Life time (in hours) Number of lamps $1500-2000$ $14$ $2000-2500$ $56$ $2500-3000$ $60$ $3000-3500$ $86$ $3500-4000$ $74$ $4000-4500$ $62$ $4500-5000$ $48$
Find the median lifetime of a lamp.
| Life time (in hours) | Number of lamps |
| $1500-2000$ | $14$ |
| $2000-2500$ | $56$ |
| $2500-3000$ | $60$ |
| $3000-3500$ | $86$ |
| $3500-4000$ | $74$ |
| $4000-4500$ | $62$ |
| $4500-5000$ | $48$ |
Find the median lifetime of a lamp.
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
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