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?
$\begin{array}{rrrrrrrrrr}1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 \\ 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 \\ 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12\end{array}$
$(i)$ 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?
(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:
$(ii)$ 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 $2$.
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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$29, 32, 48, 50, x, x+ 2, 72, 78, 84, 95$
$29, 32, 48, 50, x, x+ 2, 72, 78, 84, 95$
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View SolutionConsider the marks,out of $100$,obtained by $51$ students of a class in a test,given in the table below. Draw a frequency polygon corresponding to this frequency distribution table.
Marks Number of students $0-10$ $5$ $10-20$ $10$ $20-30$ $4$ $30-40$ $6$ $40-50$ $7$ $50-60$ $3$ $60-70$ $2$ $70-80$ $2$ $80-90$ $3$ $90-100$ $9$ Total $51$
| Marks | Number of students |
| $0-10$ | $5$ |
| $10-20$ | $10$ |
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| $30-40$ | $6$ |
| $40-50$ | $7$ |
| $50-60$ | $3$ |
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View SolutionThe relative humidity (in $\%$) of a certain city for a month of $30$ days was as follows:
$98.1$ $98.6$ $99.2$ $90.3$ $86.5$ $95.3$ $92.9$ $96.3$ $94.2$ $95.1$ $89.2$ $92.3$ $97.1$ $93.5$ $92.7$ $95.1$ $97.2$ $93.3$ $95.2$ $97.3$ $96.2$ $92.1$ $84.9$ $90.2$ $95.7$ $98.3$ $97.3$ $96.1$ $92.1$ $89$
$(i)$ Construct a grouped frequency distribution table with classes $84-86, 86-88$,etc.
$(ii)$ Which month or season do you think this data is about?
$(iii)$ What is the range of this data?
| $98.1$ | $98.6$ | $99.2$ | $90.3$ | $86.5$ | $95.3$ | $92.9$ | $96.3$ | $94.2$ | $95.1$ |
| $89.2$ | $92.3$ | $97.1$ | $93.5$ | $92.7$ | $95.1$ | $97.2$ | $93.3$ | $95.2$ | $97.3$ |
| $96.2$ | $92.1$ | $84.9$ | $90.2$ | $95.7$ | $98.3$ | $97.3$ | $96.1$ | $92.1$ | $89$ |
$(i)$ Construct a grouped frequency distribution table with classes $84-86, 86-88$,etc.
$(ii)$ Which month or season do you think this data is about?
$(iii)$ What is the range of this data?
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