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Question

Electricity consumed by different households on a particular day are tabulated below.
Number of Persons in House Consumption of Electricity (units)

4 8
6 13
8 15
10 18

Choose the correct scatter plot from the following which correctly represents the given data set.

A
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B
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Solution

The correct option is A
Here, the consumption of electricity depends on the number of persons present in the house. So, the dependent variable is the amount of electricity consumed, whereas the independent variable is the number of persons present in a house.

We denote the horizontal axis for independent variable, i.e., the number of households in a house and the vertical axis for dependent variable, i.e., the amount of electricity consumed on a particular day.

As the number of persons in a house varies from 4 to 10 with an interval of 2, we follow the same pattern on the horizontal axis with a kent at the starting.

Similarly, the consumption of electricity varies from 8 to 18 units. Hence, we start the vertical axis from 8 and mark up to 18 with an interval of 2 units. And, similar to horizontal axis, we put a kent at the starting in vertical axis.

Now, if we plot the given data, we can get the following scatter plot.


As in the scatter plot, we are not joining the dots with straight or curve lines, the scatter plot in option (b.) is NOT correct.

The scatter plot in option (a.) corrrectly represents the given data.

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