The following table shows the ages of the patients admitted in the hospital during a year find the mode and mean of the given data . compare and interpret the two measure of Central tendency
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Mean (x) = ∑fixi/∑fi
x = 2830/80
x = 35.375
Mean = 35.375
Mode = l + f1 - f0 / 2f1 - f0 - f2 x h
Modal class = interval with highest frequency
= 35 - 45
Where l =lower limit of modal class = 35
h = class interval
= 15-5 = 10
f1 = frequency of the modal class = 23
f0 = frequency of the class before modal class = 21
f2 = frequency of the class after modal class = 14
Mode = 35 + 23-21/2(23) - 21 - 14 x 10
= 35 + 2/46-35 x 10
= 35 + 2/11 x 10
= 35 + 1.8
= 36.8
SUMI12332:
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