Name: Data Collection and Its Tabulation
Uploaded: 2019-07-19
Duration: 6 min 32 s
Description: To get a piece of particular information from the given data quickly, we have to arrange it tabularly. Let's learn in this video that how to arrange the data...

Question

Draw a frequency polygon for the following data without using histogram.

$\begin{matrix} Class interval (Marks) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & 70 - 80 & 80 - 90 \\ Frequency & 4 & 6 & 8 & 12 & 10 & 14 & 5 & 7 \end{matrix}$

Accepted Answer

Follow the below steps to draw frequency polygon without using histogram.

Find the midpoint of the class intervals and tabulate it.

$\begin{matrix} Class interval (C.I) & Mid point (x) & Frequency (f) \\ 10 - 20 & 15 & 4 \\ 20 - 30 & 25 & 6 \\ 30 - 40 & 35 & 8 \\ 40 - 50 & 45 & 12 \\ 50 - 60 & 55 & 10 \\ 60 - 70 & 65 & 14 \\ 70 - 80 & 75 & 5 \\ 80 - 90 & 85 & 7 \end{matrix}$

The points are $A (5, 0) B (15, 4) C (25, 6)$ $D (35, 8) E (45, 12) F (55, 10) G (65, 14) H (75, 5)$ $I (85, 7) J (95, 0)$ .

In the graph sheet, mark the midpoints along the x - axis and the frequency along the y - axis.

We take the imagined class as $0 - 10$ at the beginning and $90 - 100$ at the end, each with frequency 'zero'.

From the table, plot the points. We draw the line segments $AB, BC, CD, DE, EF, FG, GH, HI, IJ$ to obtain the required frequency polygon $ABCDEFGHIJ$ .

Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 11: Example

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 11: Example

Questions from Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 11: Example with Hints & Solutions

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