These questions concern the two histograms shown below Ident

These questions concern the two histograms shown below.

Identify the type of distributions that the following two histograms represent. Provide reasons for your answer.

Solution

The Distribution a is almost normal as it is symmetric about the central position. The curve is also of the bell shape which is the characteristics of normal distribution.

Also the frequency on both side of center is almost equal. The left hand side has frequency of (0+6+31+65) = 102 and the right hand side has the frequency sum of 98.

So, its normal distribution.

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Distribution B is right skewed as the maximum of the data lies on the left side of the center and the right tail is longer. The frequency sum before 4.5 is = (15+30+38+42+36) = 161 and that on right side of 4.5 is (24+10+4+1) = 39.

So, it is a right skewed distribution.