CPM Homework Help : CCA2 Problem C-3

A sample of $23$ newborns at the Dallas University Health Center had the following lengths in centimeters. The measurements have been sorted from lowest to highest.

$46.4$ , $46.9$ , $47.7$ , $48.1$ , $48.5$ , $48.5$ , $48.8$ , $49.0$ , $49.3$ , $50.0$ , $50.1$ , $50.4$ , $50.6$ , $51.1$ , $51.4$ , $51.8$ , $52.4$ , $52.5$ , $53.2$ , $53.8$ , $54.4$ , $55.1$ , $55.9$

Find the five number summary of the lengths of the newborns. A five number summary includes the minimum, first quartile, median, third quartile, and maximum. Do not use a calculator. For help with quartiles, see the Math Notes box in this lesson.

Compute without a calculator

Hint:

To find the minimum and the maximum, find smallest and largest numbers in the list. Because the list is ordered from least to greatest, the smallest will be first and the largest will be last.

More Help 1:

The median is the number in the middle, so in a data set with $23$ numbers, the median would be the $12$ th number. It has been underlined for you.

More Help 2:

The first quartile is the median of the first half of the data. In this case, it would be the $6$ th number. The third quartile is the median of the second half of the data. In this case it would be the $18$ th number. These numbers have been underlined for you.

Answer:

Minimum: $46.4$
First Quartile: $48.5$
Median: $50.4$
Third Quartile: $52.5$
Maximum: $55.9$