Question

listed below are the ages of 11 players randomly selected from the roster of a championship sports team. find the (a) mean, (b) median, (c) mode, and (d) midrange and then (e) determine how the resulting statistics are fundamentally different from those calculated from the jersey numbers of the same 11 players.
click the icon to view ages and jersey data and statistics.
b. there is no mode.
d. find the midrange.
the midrange is 32.5 years.
(type an integer or a decimal rounded to one decimal place as needed.)
e. how are the resulting statistics fundamentally different from those calculated from the jersey numbers of the same 11 players?
the jersey numbers are data at the
level of measurement, but the ages are data at the
level of measurement, so
statistics are meaningful.

Explanation:

Step1: Recall level - of - measurement concepts

Jersey numbers are nominal data. They are used for identification and have no numerical meaning in terms of quantity (e.g., a player with jersey number 10 is not "twice as much" as a player with jersey number 5).

Step2: Recall level - of - measurement for ages

Ages are ratio - level data. There is a true zero (0 years means the start of life), and differences and ratios are meaningful (e.g., a 30 - year - old is 1.5 times as old as a 20 - year - old).

Step3: Determine meaningful statistics

For nominal data (jersey numbers), only the mode (the most frequently occurring number) is meaningful. For ratio data (ages), the mean, median, mode, and mid - range are all meaningful.

Answer:

The jersey numbers are data at the nominal level of measurement, but the ages are data at the ratio level of measurement, so more statistics are meaningful.