The following table gives the distribution of students of two sections according to the marks obtained by them:
Marks (Section $A$) Frequency (Section $A$) Marks (Section $B$) Frequency (Section $B$)
$0-10$ $3$ $0-10$ $5$
$10-20$ $9$ $10-20$ $19$
$20-30$ $17$ $20-30$ $15$
$30-40$ $12$ $30-40$ $10$
$40-50$ $9$ $40-50$ $1$

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons,compare the performance of the two sections.

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(N/A) We can find the class marks of the given class intervals by using the following formula:
$\text{Class mark} = \frac{\text{Upper class limit} + \text{Lower class limit}}{2}$
Marks Class mark Frequency (Section $A$) Frequency (Section $B$)
$0-10$ $5$ $3$ $5$
$10-20$ $15$ $9$ $19$
$20-30$ $25$ $17$ $15$
$30-40$ $35$ $12$ $10$
$40-50$ $45$ $9$ $1$

By plotting the class marks on the $x$-axis and frequency on the $y$-axis,we draw the frequency polygons for both sections.
From the graph,it can be observed that the frequency polygon for section $A$ is shifted more towards the right compared to section $B$. This indicates that the students of section $A$ have performed better than the students of section $B$ in terms of obtaining higher marks.

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Similar Questions

$A$ company manufactures car batteries of a particular type. The lives (in years) of $40$ such batteries were recorded as follows:
$\begin{array}{llllllll}2.6 & 3.0 & 3.7 & 3.2 & 2.2 & 4.1 & 3.5 & 4.5 \\ 3.5 & 2.3 & 3.2 & 3.4 & 3.8 & 3.2 & 4.6 & 3.7 \\ 2.5 & 4.4 & 3.4 & 3.3 & 2.9 & 3.0 & 4.3 & 2.8 \\ 3.5 & 3.2 & 3.9 & 3.2 & 3.2 & 3.1 & 3.7 & 3.4 \\ 4.6 & 3.8 & 3.2 & 2.6 & 3.5 & 4.2 & 2.9 & 3.6\end{array}$
Construct a grouped frequency distribution table for this data,using class intervals of size $0.5$ starting from the interval $2 - 2.5$.

Classify the data you can collect from your day-to-day life as primary or secondary data.
In our day-to-day life,we can collect the following data:
$1.$ Number of females per $1000$ males in various states of our country.
$2.$ Weights of students of our class.
$3.$ Production of wheat in the last $10$ years in our country.
$4.$ Number of plants in our locality.
$5.$ Rainfall in our city in the last $10$ years.

Consider the marks obtained by $10$ students in a mathematics test as given below:
$55, 36, 95, 73, 60, 42, 25, 78, 75, 62$

The heights (in $cm$) of $9$ students of a class are as follows:
$155, 160, 145, 149, 150, 147, 152, 144, 148$
Find the median of this data. (in $\text{ cm}$)

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.
Section Number of girls per thousand boys
Scheduled Caste $(SC)$ $940$
Scheduled Tribe $(ST)$ $970$
Non $SC/ST$ $920$
Backward districts $950$
Non-backward districts $920$
Rural $930$
Urban $910$

$(i)$ Represent the information above by a bar graph.
$(ii)$ In the classroom,discuss what conclusions can be arrived at from the graph.

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