A histogram represents a continuous variable distribution
The statements that must be true about the data sets A and B displayed in the histogram are;
The mean of dataset A is equal to the mean of dataset B
The median of data set A is equal to the median value of dataset B
The range of dataset A is equal to the range
The reasons the above options are correct are as follows:
The mean of the data are;
Mean of data set A
(15*8 + 25*2 + 35*1 + 45*2 + 55*8)/(8 + 2 + 1 + 2 + 8) = 35
Mean of data set B
(15*1 + 25*2 + 35*8 + 45*2 + 55*1)/(1 + 2 + 8 + 2 + 1) = 35
The mean of the two data set appear to be the same
Therefore;
The mean of dataset A is equal to the mean of dataset B
Median:
The median values for dataset A and dataset B are both in the median range of 30 and 40, therefore;
The median of data set A is equal to the median value of dataset B
Range:
Another obvious information that can be seen and which must be true is the range;
The range is the difference between the largest number and the smallest number;
The range of the histogram of data set A = 60 - 10 = 50
Similarly, we have;
The range of the histogram of data set B = 60 - 10 = 50
Therefore;
The range of dataset A is equal to the range
Learn more about histograms here:
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