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

The following table gives the number of literate females in the age group $10$ to $45$ years in a town.

$\begin{array}{lcccccc} Age group & 10 - 15 & 16 - 21 & 22 - 27 & 28 - 33 & 34 - 39 & 40 - 45 \\ No. of females & 350 & 920 & 850 & 480 & 230 & 200 \end{array}$

Draw a histogram to represent the above data

Accepted Answer

Given, $\begin{array}{lcccccc} Age group & 10 - 15 & 16 - 21 & 22 - 27 & 28 - 33 & 34 - 39 & 40 - 45 \\ No. of females & 350 & 920 & 850 & 480 & 230 & 200 \end{array}$

We know that,

A histogram is a graph of a continuous frequency distribution. Histogram contains a set of rectangles, the base of which is the length of the class interval and the frequency in each class interval is its height.

The given distribution is discontinuous. If we represent the given data as it is by a graph we shall get a bar graph, as there will be gaps in between the classes.

So, convert this into a continuous distribution using the adjustment factor $0.5$ .

The first class interval can be written as $9.5 - 15.5$ and the remaining class intervals are changed in the same way.

There are no changes in frequencies.

The new continuous frequency table is

$\begin{matrix} Age group & 9.5 - 15.5 & 15.5 - 21.5 & 21.5 - 27.5 & 27.5 - 33.5 & 33.5 - 39.5 & 39.5 - 45.5 \\ No of females & 350 & 920 & 830 & 480 & 230 & 200 \end{matrix}$

The histogram is constructed as given below.

Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 7: Example

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 7: Example

Questions from Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 7: Example with Hints & Solutions

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