The 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 $(f_{i})$ | $1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1$ |
- A$59.3$
- B$63.2$
- C$54.5$
- D$55.5$
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Similar Questions
The following table gives the production yield per hectare of wheat of $100$ farms of a village.
Production yield (in kg/ha) Number of farms $50-55$ $2$ $55-60$ $8$ $60-65$ $12$ $65-70$ $24$ $70-75$ $38$ $75-80$ $16$
Change the distribution to a 'more than type' distribution,and draw its ogive.
| Production yield (in kg/ha) | Number of farms |
|---|---|
| $50-55$ | $2$ |
| $55-60$ | $8$ |
| $60-65$ | $12$ |
| $65-70$ | $24$ |
| $70-75$ | $38$ |
| $75-80$ | $16$ |
Change the distribution to a 'more than type' distribution,and draw its ogive.
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
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 Solution$A$ 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 | $7$ | $14$ | $13$ | $12$ | $20$ | $11$ | $15$ | $8$ |
Medium
View SolutionThe following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.
Number of students per teacher Number of states/$U$.$T$. $15-20$ $3$ $20-25$ $8$ $25-30$ $9$ $30-35$ $10$ $35-40$ $3$ $40-45$ $0$ $45-50$ $0$ $50-55$ $2$
| Number of students per teacher | Number of states/$U$.$T$. |
| $15-20$ | $3$ |
| $20-25$ | $8$ |
| $25-30$ | $9$ |
| $30-35$ | $10$ |
| $35-40$ | $3$ |
| $40-45$ | $0$ |
| $45-50$ | $0$ |
| $50-55$ | $2$ |
Medium
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