Consider the following statements:
1. The mean and median are equal in symmetric distribution.
2. The range is the difference between the maximum value and the minimum value in the data.
3. The sum of the areas of the rectangle in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.
Which of the above statements are correct?

1 and 2 only

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2 and 3 only

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1 and 3 only

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1, 2 and 3

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Solution

The correct option is D 1, 2 and 3
Mean = Median (in symmetric distribution)
Range = (Max. value – Min. value)
And sum of areas of rectangles in the histogram is always equal to the total area bounded by frequency polygon and the horizontal axis.
This implies all 3 statements are correct.

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The correct option is D 1, 2 and 3Mean = Median (in symmetric distribution)Range = (Max. value – Min. value)And sum of areas of rectangles in the histogram is always equal to the total area bounded by frequency polygon and the horizontal axis.This implies all 3 statements are correct.

The correct option is D 1, 2 and 3
Mean = Median (in symmetric distribution)
Range = (Max. value – Min. value)
And sum of areas of rectangles in the histogram is always equal to the total area bounded by frequency polygon and the horizontal axis.
This implies all 3 statements are correct.