Question

the box plots represent the birth weights, in pounds, of
babies born full - term at a hospital during one week.
complete the statements to compare the weights of
female babies with the weights of male babies.
the median female birth weight is ✓ the
median male birth weight.
the range of female birth weight is ✓ the
range of male birth weight.
which birth weight measure is the same for both
genders?

Explanation:

Step1: Find the median of female and male birth weight

From the box - plot, the median (the line inside the box) of female birth weight is higher than that of male birth weight.

Step2: Calculate the range of male and female birth weight

The range is calculated as \( \text{Range}=\text{Maximum}-\text{Minimum} \).
For male: assume maximum \( M_{max} = 10.5 \), minimum \( M_{min}=5.5 \), \( \text{Range}_M=10.5 - 5.5=5 \)
For female: assume maximum \( F_{max}=9.5 \), minimum \( F_{min}=6.5 \), \( \text{Range}_F=9.5 - 6.5 = 3 \)

Step3: Check which measure is the same

The inter - quartile range (IQR, \( Q3 - Q1 \), the length of the box) for both genders is the same.

Answer:

The median female birth weight is greater than the median male birth weight. The range of female birth weight is less than the range of male birth weight. The inter - quartile range birth weight measure is the same for both genders.