Question

The weights, in pounds, of a random sample of 21 newborn babies are listed below. find the first, second, and third quartiles.

5.2 5.8 6.1 6.2 6.3 6.5 6.7
6.8 7.0 7.2 7.3 7.5 7.8 7.9
8.1 8.3 8.7 8.9 9.4 9.9 1.00

Answer 1

To calculate the quartiles of a data set of newborn baby weights, arrange the data in ascending order and find the medians of the lower half, the entire set, and the upper half of the data.

This will give you the first, second, and third quartiles respectively.

Step-by-step explanation:

The question is asking how to find the first quartile (Q1), second quartile (Q2, which is also the median), and third quartile (Q3) of a given data set of newborn baby weights.

To find the quartiles, you would arrange the data in ascending order, then divide the data set into four equal parts. The first quartile is the median of the lower half of the data set, the second quartile is the median of the entire data set, and the third quartile is the median of the upper half of the data set.

Step 1: Arrange the data in ascending order (which is already done here).

Step 2: Find the median (Q2), which is the middle value of the sorted list. Since there are 21 values in the list, the median will be the 11th value.

Step 3: For Q1, find the median of the first half of the data (the first 10 values). Step 4: For Q3, find the median of the second half of the data (the last 10 values).

The typos in the weight list and irrelevant statistics provided (like mean and mode of 5 lbs and 4 lbs) should be ignored in the calculation of the quartiles.