Answer:
median = 80 inches
mean = 79.692 inches
typical height = 80 inches
Explanation:
Given height
84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82
arranging the height in increasing order we have
74,75,76,77,79,80,80,80,80,82,82,84,87
no, of terms in the heights = 13
We know
that median for any data set is the middle number, if data is arranged in increasing order of their occurrence.
If the number of terms is odd, then median is (n+1)/2 th term
If the number of terms is even, then median is taken average of n/2 th term and( n/2 + 1)th term .
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since here number of term is 13.
then median will be (13+1)/2 th term
i.e 7th term
as shown above seventh term is 80.
1. What is the median?
answer: Median is 80
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Mean is calculated average of all the terms
mean = sum of all the terms/ number of terms
mean = 74+75+76+77+79+80+80+80+80+82+82+84+87/13
= 1036/13 = 79.692
Thus, means is 79.692
2. What is the mean?
Answer: Mean is 79.692
3. What is the typical height of a Knicks basketball player? Explain
Answer: Typical height for basket ball player will the height which is the most commonly occurring height in the group.
The most commonly occurring data in the data set is also called mode.
Since, in this data group 80 inches occurring most number of times i.e 4 times.
Thus, typical height of group is 80 inches.