$A$ 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.

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(N/A) Here,it can be observed that the data has class intervals of varying width. The proportion of children per $1$ year interval can be calculated as follows:
Age (in years) Number of children Width of class Height of rectangle
$1-2$ $5$ $1$ $(5 \times 1) / 1 = 5$
$2-3$ $3$ $1$ $(3 \times 1) / 1 = 3$
$3-5$ $6$ $2$ $(6 \times 1) / 2 = 3$
$5-7$ $12$ $2$ $(12 \times 1) / 2 = 6$
$7-10$ $9$ $3$ $(9 \times 1) / 3 = 3$
$10-15$ $10$ $5$ $(10 \times 1) / 5 = 2$
$15-17$ $4$ $2$ $(4 \times 1) / 2 = 2$

Taking the age of children on the $x$-axis and the proportion of children per $1$ year interval on the $y$-axis,the histogram is constructed based on the calculated heights.

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Similar Questions

$A$ survey conducted by an organisation for the cause of illness and death among women between the ages $15-44$ (in years) worldwide,found the following figures (in $\%$):
$S$.NoCausesFemale fatality rate $(\%)$
$1.$Reproductive health conditions$31.8$
$2.$Neuropsychiatric conditions$25.4$
$3.$Injuries$12.4$
$4.$Cardiovascular conditions$4.3$
$5.$Respiratory conditions$4.1$
$6.$Other causes$22.0$

$(i)$ Represent the information given above graphically.
$(ii)$ Which condition is the major cause of women's ill health and death worldwide?
$(iii)$ Try to find out,with the help of your teacher,any two factors which play a major role in the cause in $(ii)$ above being the major cause.

The heights of $50$ students,measured to the nearest centimetres,have been found to be as follows:
$\begin{array}{llllllllll}161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 \\ 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 \\ 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 \\ 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 \\ 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159\end{array}$
$(i)$ Represent the data given above by a grouped frequency distribution table,taking the class intervals as $150-155, 155-160,$ etc.
$(ii)$ What can you conclude about their heights from the table?

The following table gives the life times of $400$ neon lamps:
The time (in hours) Number of lamps
$300-400$ $14$
$400-500$ $56$
$500-600$ $60$
$600-700$ $86$
$700-800$ $74$
$800-900$ $62$
$900-1000$ $48$

$(i)$ Represent the given information with the help of a histogram.
$(ii)$ How many lamps have a life time of more than $700$ hours?

The runs scored by two teams $A$ and $B$ on the first $60$ balls in a cricket match are given below:
Number of balls Teams $A$ Teams $B$
$1-6$ $2$ $5$
$7-12$ $1$ $6$
$13-18$ $8$ $2$
$19-24$ $9$ $10$
$25-30$ $4$ $5$
$31-36$ $5$ $6$
$37-42$ $6$ $3$
$43-48$ $10$ $4$
$49-54$ $6$ $8$
$55-60$ $2$ $10$

Represent the data of both the teams on the same graph by frequency polygons.
[Hint : First make the class intervals continuous.]

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

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