$A$ company manufactures car batteries of a particular type. The lives (in years) of $40$ such batteries were recorded as follows:
$\begin{array}{llllllll}2.6 & 3.0 & 3.7 & 3.2 & 2.2 & 4.1 & 3.5 & 4.5 \\ 3.5 & 2.3 & 3.2 & 3.4 & 3.8 & 3.2 & 4.6 & 3.7 \\ 2.5 & 4.4 & 3.4 & 3.3 & 2.9 & 3.0 & 4.3 & 2.8 \\ 3.5 & 3.2 & 3.9 & 3.2 & 3.2 & 3.1 & 3.7 & 3.4 \\ 4.6 & 3.8 & 3.2 & 2.6 & 3.5 & 4.2 & 2.9 & 3.6\end{array}$
Construct a grouped frequency distribution table for this data,using class intervals of size $0.5$ starting from the interval $2 - 2.5$.
$\begin{array}{llllllll}2.6 & 3.0 & 3.7 & 3.2 & 2.2 & 4.1 & 3.5 & 4.5 \\ 3.5 & 2.3 & 3.2 & 3.4 & 3.8 & 3.2 & 4.6 & 3.7 \\ 2.5 & 4.4 & 3.4 & 3.3 & 2.9 & 3.0 & 4.3 & 2.8 \\ 3.5 & 3.2 & 3.9 & 3.2 & 3.2 & 3.1 & 3.7 & 3.4 \\ 4.6 & 3.8 & 3.2 & 2.6 & 3.5 & 4.2 & 2.9 & 3.6\end{array}$
Construct a grouped frequency distribution table for this data,using class intervals of size $0.5$ starting from the interval $2 - 2.5$.
(N/A) To construct a grouped frequency distribution table with a class size of $0.5$,we start from the interval $2 - 2.5$.
The class intervals will be $2 - 2.5, 2.5 - 3.0, 3.0 - 3.5, 3.5 - 4.0, 4.0 - 4.5, 4.5 - 5.0$.
By tallying the data provided,we get the following frequency distribution table:
The class intervals will be $2 - 2.5, 2.5 - 3.0, 3.0 - 3.5, 3.5 - 4.0, 4.0 - 4.5, 4.5 - 5.0$.
By tallying the data provided,we get the following frequency distribution table:
| Lives of batteries (in years) | Number of batteries |
| $2.0 - 2.5$ | $2$ |
| $2.5 - 3.0$ | $6$ |
| $3.0 - 3.5$ | $14$ |
| $3.5 - 4.0$ | $11$ |
| $4.0 - 4.5$ | $4$ |
| $4.5 - 5.0$ | $3$ |
| Total | $40$ |
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Similar Questions
Find the mean salary of $60$ workers of a factory from the following table:
Salary (in Rs.) Number of workers $3000$ $16$ $4000$ $12$ $5000$ $10$ $6000$ $8$ $7000$ $6$ $8000$ $4$ $9000$ $3$ $10000$ $1$ Total $60$
| Salary (in Rs.) | Number of workers |
| $3000$ | $16$ |
| $4000$ | $12$ |
| $5000$ | $10$ |
| $6000$ | $8$ |
| $7000$ | $6$ |
| $8000$ | $4$ |
| $9000$ | $3$ |
| $10000$ | $1$ |
| Total | $60$ |
Difficult
View Solution$A$ random survey of the number of children of various age groups playing in a park was found as follows:
Age (in years) Number of children $1-2$ $5$ $2-3$ $3$ $3-5$ $6$ $5-7$ $12$ $7-10$ $9$ $10-15$ $10$ $15-17$ $4$
Draw a histogram to represent the data above.
| Age (in years) | Number of children |
| $1-2$ | $5$ |
| $2-3$ | $3$ |
| $3-5$ | $6$ |
| $5-7$ | $12$ |
| $7-10$ | $9$ |
| $10-15$ | $10$ |
| $15-17$ | $4$ |
Draw a histogram to represent the data above.
Medium
View SolutionThe blood groups of $30$ students of Class $VIII$ are recorded as follows:
$A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,$
$A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.$
Represent this data in the form of a frequency distribution table. Which is the most common,and which is the rarest,blood group among these students?
$A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,$
$A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.$
Represent this data in the form of a frequency distribution table. Which is the most common,and which is the rarest,blood group among these students?
Medium
View Solution$100$ surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:
Number of letters Number of surnames $1-4$ $6$ $4-6$ $30$ $6-8$ $44$ $8-12$ $16$ $12-20$ $4$
$(i)$ Draw a histogram to depict the given information.
$(ii)$ Write the class interval in which the maximum number of surnames lie.
| Number of letters | Number of surnames |
| $1-4$ | $6$ |
| $4-6$ | $30$ |
| $6-8$ | $44$ |
| $8-12$ | $16$ |
| $12-20$ | $4$ |
$(i)$ Draw a histogram to depict the given information.
$(ii)$ Write the class interval in which the maximum number of surnames lie.
The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.
Section Number of girls per thousand boys Scheduled Caste $(SC)$ $940$ Scheduled Tribe $(ST)$ $970$ Non $SC/ST$ $920$ Backward districts $950$ Non-backward districts $920$ Rural $930$ Urban $910$
$(i)$ Represent the information above by a bar graph.
$(ii)$ In the classroom,discuss what conclusions can be arrived at from the graph.
| Section | Number of girls per thousand boys |
| Scheduled Caste $(SC)$ | $940$ |
| Scheduled Tribe $(ST)$ | $970$ |
| Non $SC/ST$ | $920$ |
| Backward districts | $950$ |
| Non-backward districts | $920$ |
| Rural | $930$ |
| Urban | $910$ |
$(i)$ Represent the information above by a bar graph.
$(ii)$ In the classroom,discuss what conclusions can be arrived at from the graph.
Medium
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