State true or false.

Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a highway.

The histogram and the frequency polygon representing the above data is

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True

False

answer is A.

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Detailed Solution

It is given a table of data for the speed of cars passing through at a particular spot on a highway.
Question Image

As shown, the frequency distribution given is in exclusive form. The horizontal axis represents class intervals and the vertical axis represents corresponding frequencies.
Rectangles are constructed with class intervals as the bases and the respective frequencies as the heights. Now, let’s draw the histogram for this data and mark mid points of the top of the rectangles as B, C, D, E, F, G and H respectively.
The first class is 30 - 40 and the last class is 90 -100.
Let’s consider the imagined classes 20 - 30 and 100 - 110 each with frequency 0.
The class marks of these classes are 25 and 105 at the points A and I, respectively.
Joining all the curves with dotted lines, we get the required curve ABCDEFGHI frequency polygon.
The histogram and the frequency polygon is given by,
Question Image

Hence, the given graph is true.
Hence, option 1 is correct.

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