Consider the marks obtained (out of $100$ marks) by $30$ students of Class $IX$ of a school:
$\begin{array}{*{20}{c}}
{10}&{20}&{36}&{92}&{95}&{40}&{50}&{56}&{60}&{70} \\
{92}&{88}&{80}&{70}&{72}&{70}&{36}&{40}&{36}&{40} \\
{92}&{40}&{50}&{50}&{56}&{60}&{70}&{60}&{60}&{88}
\end{array}$

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(N/A) Recall that the number of students who have obtained a certain number of marks is called the frequency of those marks. For instance,$4$ students got $70$ marks. So the frequency of $70$ marks is $4$. To make the data more easily understandable,we write it in a table,as given below:
Marks Number of students (i.e.,the frequency)
$10$ $1$
$20$ $1$
$36$ $3$
$40$ $4$
$50$ $3$
$56$ $2$
$60$ $4$
$70$ $4$
$72$ $1$
$80$ $1$
$88$ $2$
$92$ $3$
$95$ $1$
Total $30$

This table is called an ungrouped frequency distribution table,or simply a frequency distribution table. Note that you can also use tally marks in preparing these tables.

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Similar Questions

The distances (in $km$) of $40$ engineers from their residence to their place of work were found as follows:
$5$ $3$ $10$ $20$ $25$ $11$ $13$ $7$ $12$ $31$
$19$ $10$ $12$ $17$ $18$ $11$ $32$ $17$ $16$ $2$
$7$ $9$ $7$ $8$ $3$ $5$ $12$ $15$ $18$ $3$
$12$ $14$ $2$ $9$ $6$ $15$ $15$ $7$ $6$ $12$

Construct a grouped frequency distribution table with class size $5$ for the data given above,taking the first interval as $0-5$ ($5$ not included). What main features do you observe from this tabular representation?

$A$ 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.

Find the mode of $14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.$

In a particular section of Class $IX,$ $40$ students were asked about the months of their birth and the following graph was prepared for the data so obtained:
Observe the bar graph given above and answer the following questions:
$(i)$ How many students were born in the month of November?
$(ii)$ In which month were the maximum number of students born?

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

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