Draw a histogram for the adjacent data.
Class interval $0 - 9$ $10 - 14$ $15 - 24$ $25 - 29$ $30 - 34$
Frequency $6$ $4$ $12$ $10$ $8$

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Solution

Observe that the class intervals are given in inclusive form. We have to convert these into exclusive form by applying the correction factor. The correction factor is $0.5$ . This is subtracted from the lower limit and added to the upper limit. First let us prepare a table of the required data for drawing the histogram as below:
Actual Class interval) $- 0.5 - 9.5$ $9.5 - 14.5 - 14$ $14.5 - 24.5$ $24.5 - 29.5$ $29.5 - 34.5$
Frequency $6$ $4$ $12$ $10$ $8$
Class width $10$ $5$ $10$ $5$ $5$
Length of the rectangle $= (\frac{f}{w i d t h} \times C)$ $\frac{6}{10} \times 5 = 3$ $\frac{4}{5} \times 5 = 4$ $\frac{12}{10} \times 5 = 6$ $\frac{10}{5} \times 5 = 10$ $\frac{8}{5} \times 5 = 8$
Taking the scale on X-axis as $1 c m = 5$ and Y-axis as $1 c m = 1$ , we can draw the histogram. The histogram looks as:

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Similar questions

Draw a histogram for the following data:

$\begin{matrix} C l a s s - i n t e r v a l : & 25 - 29 & 30 - 24 & 35 - 39 & 40 - 44 & 45 - 49 & 50 - 54 F r e q u e n c y : & 5 & 15 & 23 & 20 & 10 & 7 \end{matrix}$

Q. Calculate the mean deviation for the following data about median.

Class interval	$0 - 4$	$5 - 9$	$10 - 14$	$15 - 19$	$20 - 24$	$25 - 29$
Frequency	$11$	$12$	$17$	$12$	$20$	$28$

Q. To draw a histogram to represent the following frequency distribution:

Class Interval	$5 - 10$	$10 - 15$	$15 - 25$	$25 - 45$	$45 - 75$
Frequency	$6$	$12$	$10$	$8$	$15$

The adjusted frequency for the class

25 - 45

is:

Q. The median of

125

observation for the given frequency distribution is

22.12

. Find missing frequencies

f_{1}

and

f_{2}

Class	$0 - 4$	$5 - 9$	$10 - 14$	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$
Frequency	$3$	$8$	$12$	$f_{1}$	$35$	$21$	$f_{2}$	$6$	$2$

Q. Construct frequency polygon for the following data.

Class interval	frequency
$5 - 10$	$2$
$10 - 15$	$5$
$15 - 20$	$7$
$20 - 25$	$6$
$25 - 30$	$1$
$30 - 35$	$9$
$35 - 40$	$14$
$40 - 45$	$8$

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Class interval	$0 - 9$	$10 - 14$	$15 - 24$	$25 - 29$	$30 - 34$
Frequency	$6$	$4$	$12$	$10$	$8$

Actual Class interval)	$- 0.5 - 9.5$	$9.5 - 14.5 - 14$	$14.5 - 24.5$	$24.5 - 29.5$	$29.5 - 34.5$
Frequency	$6$	$4$	$12$	$10$	$8$
Class width	$10$	$5$	$10$	$5$	$5$
Length of the rectangle $= (\frac{f}{w i d t h} \times C)$	$\frac{6}{10} \times 5 = 3$	$\frac{4}{5} \times 5 = 4$	$\frac{12}{10} \times 5 = 6$	$\frac{10}{5} \times 5 = 10$	$\frac{8}{5} \times 5 = 8$

Draw a histogram for the adjacent data.Class interval0−910−1415−2425−2930−34Frequency6412108

Draw a histogram for the adjacent data.
Class interval $0 - 9$ $10 - 14$ $15 - 24$ $25 - 29$ $30 - 34$
Frequency $6$ $4$ $12$ $10$ $8$