He following shows the height, in inches, of the players on the opening night roster of 2015-2016 New York Knicks. 84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82
1. What is the median?
2. What is the mean?Show your work.
3. What is the typical height of a Knicks basketball player? Explain.

median = 80 inches

mean = 79.692 inches

typical height = 80 inches

Step-by-step 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 .

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?

Median is 80

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?

Mean is 79.692

3. What is the typical height of a Knicks basketball player? Explain

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.

care to share were the trapezoid shown is ?