The following table gives the marks scored by 100 students in an entrance examination.

$\begin{matrix} Mark & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 No. of Students (Frequency): & 4 & 10 & 16 & 22 & 20 & 18 & 8 & 2 \end{matrix}$

Represent the data in the form of a histogram [4 MARKS]

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Solution

Graphs: 4 Marks

We represent the class limits along X-axis on a suitable scale and the frequencies along Y-axis on a suitable scale.

Taking class-intervals as bases and the corresponding frequencies as heights, we construct rectangles to obtain the histogram of the given frequency distribution.

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Q. The following table shows the frequency distribution of the ages of 35 people. Find the mean of the data.

\begin{matrix} C l a s s I n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y (f) & 5 & 15 & 10 & 2 & 3 \end{matrix}

Find the Median for the given data by drawing a 'less than ogive' :

$\begin{matrix} Class Interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 Frequency & 5 & 10 & 14 & 16 & 8 \end{matrix}$

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

\begin{matrix} Marks & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Number of students & 6 & 8 & 14 & 16 & 4 & 2 \end{matrix}

Q. Question 12
The annual rainful record of a city for 66 days is given in the following table.

\begin{matrix} R a i n f a l l (i n c m) & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 N u m b e r o f d a y s & 22 & 10 & 8 & 15 & 5 & 6 \end{matrix}

Calculate the median rainfall using ogives (or move than type and of less than type)

Draw a histogram table for the following data: [4 MARKS]

$\begin{matrix} Class interval & 1 - 10 & 11 - 20 & 21 - 30 & 31 - 40 Frequency & 7 & 12 & 15 & 13 \end{matrix}$

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The following table gives the marks scored by 100 students in an entrance examination. Mark0−1010−2020−3030−4040−5050−6060−7070−80No. of Students (Frequency):4101622201882 Represent the data in the form of a histogram [4 MARKS]

Graphs: 4 Marks We represent the class limits along X-axis on a suitable scale and the frequencies along Y-axis on a suitable scale. Taking class-intervals as bases and the corresponding frequencies as heights, we construct rectangles to obtain the histogram of the given frequency distribution.

Graphs: 4 Marks

We represent the class limits along X-axis on a suitable scale and the frequencies along Y-axis on a suitable scale.

Taking class-intervals as bases and the corresponding frequencies as heights, we construct rectangles to obtain the histogram of the given frequency distribution.