the parallel dotplots below display the girths (belly circumference) of some male and female pigs. pig girth…

the parallel dotplots below display the girths (belly circumference) of some male and female pigs. pig girth by gender which of the following statements is true? the iqr for the distribution of girths is larger in female pigs. the range for the distribution of girths is larger in male pigs. the standard deviation for the distribution of girths is smaller in female pigs. the standard deviation for the distribution of girths is about the same for both male and female pigs.

the parallel dotplots below display the girths (belly circumference) of some male and female pigs. pig girth by gender which of the following statements is true? the iqr for the distribution of girths is larger in female pigs. the range for the distribution of girths is larger in male pigs. the standard deviation for the distribution of girths is smaller in female pigs. the standard deviation for the distribution of girths is about the same for both male and female pigs.

Answer

Explanation:

Step1: Recall definitions

IQR is the inter - quartile range (Q3 - Q1), range is max - min, and standard deviation measures spread.

Step2: Analyze range

For male pigs, the data ranges from about 24 to 32. Range for males = 32 - 24 = 8. For female pigs, the data ranges from about 22 to 30. Range for females = 30 - 22 = 8. So, the ranges are equal.

Step3: Analyze IQR

By visual inspection of the dot - plots, the middle 50% (IQR) of the female pig data is more spread out than the male pig data.

Step4: Analyze standard deviation

Since the IQR is larger for female pigs, and standard deviation also measures spread, the standard deviation is larger for female pigs.

Answer:

The IQR for the distribution of girths is larger in female pigs.