Thirty children were asked about the number of hours they watched $TV$ programmes in the previous week. The results were found as follows:
$\begin{array}{rrrrrrrrrr}1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 \\ 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 \\ 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12\end{array}$
$(i)$ Make a grouped frequency distribution table for this data,taking class width $5$ and one of the class intervals as $5-10$.
$(ii)$ How many children watched television for $15$ or more hours a week?

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(N/A) $(i)$ The class intervals with a width of $5$ are $0-5, 5-10, 10-15, 15-20$.
The grouped frequency distribution table is as follows:
Hours Number of children
$0-5$ $10$
$5-10$ $13$
$10-15$ $5$
$15-20$ $2$
Total $30$

$(ii)$ The number of children who watched $TV$ for $15$ or more hours a week corresponds to the class interval $15-20$. From the table,this value is $2$.

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Similar Questions

In a city,the weekly observations made in a study on the cost of living index are given in the following table:
Cost of living index Number of weeks
$140-150$ $5$
$150-160$ $10$
$160-170$ $20$
$170-180$ $9$
$180-190$ $6$
$190-200$ $2$
Total $52$

Draw a frequency polygon for the data above (without constructing a histogram).

Give one example of a situation in which $(i)$ the mean is an appropriate measure of central tendency.

$A$ 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.

$A$ study was conducted to find out the concentration of sulphur dioxide in the air in parts per million $(ppm)$ of a certain city. The data obtained for $30$ days is as follows:
$\begin{array}{llllll}0.03 & 0.08 & 0.08 & 0.09 & 0.04 & 0.17 \\ 0.16 & 0.05 & 0.02 & 0.06 & 0.18 & 0.20 \\ 0.11 & 0.08 & 0.12 & 0.13 & 0.22 & 0.07 \\ 0.08 & 0.01 & 0.10 & 0.06 & 0.09 & 0.18 \\ 0.11 & 0.07 & 0.05 & 0.07 & 0.01 & 0.04\end{array}$
$(i)$ Make a grouped frequency distribution table for this data with class intervals as $0.00 - 0.04, 0.04 - 0.08$,and so on.
$(ii)$ For how many days was the concentration of sulphur dioxide more than $0.11$ parts per million?

Give five examples of data that you can collect from your day-to-day life.

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