Statistics Math

Question

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.

Listed below are the jersey numbers of

11 players randomly selected from the roster of a championship sports team. What do the results tell​ us?

52, 39, 37, 13, 82, 88, 94, 75, 4, 36, 56

 

a. Find the mean.

The mean is?

​(Type an integer or a decimal rounded to one decimal place as​ needed.)

Answer 1

the mean is the arithmetic average. Just add up all the numbers then divide by 11

576/11 = 52.363636...52.4 is the mean

52 is the median, half the other scores are > 52 and the other half are <52. It's the middle number

IF you rounded the mean to the nearest integer, it would be the same as the median.

the mode is the score that is repeated the most. None of them repeat, You could say there is no mode, or that it has 11 modes. but you looked to see where the scores tend to cluster, you could say the scores 36, 37 and 39 are a mode, if you put them in an interval. no other scores are bunched together in an interval of 3, 39-36=3

the range is max - min = 94-4 =90

the mid range is half the range or 90/2 = 45