226k views
1 vote
Question Help

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?
97 71 334 93 85 59 6 77 39 51
a. Find the mean

Question Help Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data-example-1
User Henry Zhu
by
5.0k points

1 Answer

6 votes

Answer:

(a) Mean = 55.9

(b) Median = 59

(c) Mode = No mode

(d) Midrange = 93

Explanation:

(a) Mean

The formula for finding mean of an ungrouped data = Σx/n

Where

Σ is the sum of all the data

n is the number of data in the set

Therefore,

Σx=615

n = 11

Mean = 615/11

=55.9

(b) Median

Median is the middle number after arranging the set of data in either ascending or descending order.

By arranging the numbers, the middle is 59 which is the Median

(c) mode

Mode is the number that occurs most in a set of data.

From the given set of numbers, all the numbers appear once. Therefore, there is no mode

(d) Midrange

This is the difference between the biggest and the smallest number in a set of data.

Therefore,

the midrange = 97-4

=93

User Jumuro
by
4.2k points