Question

The electricity bill (in rupees) of $49$ houses in a certain locality for the period $01 - 12 - 2010$ to $28 - 02 - 2011$ are as follows:

$900, 850, 700, 650, 850, 250, 275, 300, 325, 625, 825, 775, 825, 850, 890, 700, 600, 400, 300, 250, 275, 300, 500, 750, 825, 900, 675, 550, 575, 200, 275, 600, 325, 350, 425, 475, 500, 375, 250, 625, 725, 675, 825, 875, 625, 300, 200, 450, 600$

Make a frequency table with intervals as $200 - 300, 300 - 400$ and so on. Construct a histogram for the frequency table.

Accepted Answer

We know that,

Grouped frequency distribution table is a way of arranging data by grouping the observations into intervals and tabulating the frequencies for each interval.In this distribution each interval are called class intervals.

First arrange the given data in ascending order.

$200, 200, 250, 250, 250, 275, 275, 275, 300, 300, 300, 300, 325, 325, 350, 375, 400, 425, 450, 475, 500, 500, 550, 575, 600, 600, 600, 625, 625, 625, 650, 675, 675, 700, 700, 725, 750, 775, 825, 825, 825, 825, 850, 850, 850, 875, 890, 900, 900$

Class Intervals Tally Marks Frequency

$200 - 300$ $8$

$300 - 400$ $8$

$400 - 500$ $4$

$500 - 600$ $4$

$600 - 700$ $9$

$700 - 800$ $5$

$800 - 900$ $9$

$900 - 1000$ $2$

Now, we need to construct a histogram for the grouped frequency distribution table.

Histogram is a graphical representation of data which is defined using the set of rectangles where the class intervals are represented on horizontal axis.

Height of each bar represents the frequency of the class interval.

Since histogram represents a continuous data, there is no gap between the bars as there is no gap between the class-intervals.

The histogram is represented as below:

Name of Trade	Book seller	Kiryana	Hotel	Milk shop	Cloth shop	Hardware/Cement shop
Number of shops	$25$	$60$	$10$	$15$	$30$	$40$

Name of Trade	Book seller	Kiryana	Hotel	Milk shop	Cloth shop	Hardware/Cement shop
Number of shops	$25$	$60$	$10$	$15$	$30$	$40$

Jammu and Kashmir Board Solutions for Chapter: Data Handling, Exercise 16: Miscellaneous Exercise

Jammu and Kashmir Board Mathematics Solutions for Exercise - Jammu and Kashmir Board Solutions for Chapter: Data Handling, Exercise 16: Miscellaneous Exercise

Questions from Jammu and Kashmir Board Solutions for Chapter: Data Handling, Exercise 16: Miscellaneous Exercise with Hints & Solutions

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