Question

male and female high school students reported how many hours they worked each week in summer jobs. the data is represented in the following box plots.
males verus females in hours worked weekly during the summer
hours worked per week
identify any values of data that may affect the statistical measures of center and spread. (5 points)
the females worked less than the males, and the female median is close to q1.
there is a high data value that causes the data set for the males to be asymmetrical.
there are significant outliers at the high ends of both the males and females.
both graphs are symmetrical, so iqr and median are appropriate measures of spread and center for both males and females.

Explanation:

1. Analyze the male box plot: The whisker extends to a high value near 50, while the box (IQR range) is between ~15 and 40. This high value makes the male data right-skewed (asymmetrical), pulling the distribution.
2. Analyze the female box plot: The box and whiskers are relatively balanced, with no extreme outliers, showing symmetry.
3. Evaluate each option:

• Option 1: Incorrect, females worked less on average, but their median is near the center of their box, not close to Q1.
• Option 2: Correct, the high value for males creates right skew (asymmetry).
• Option 3: Incorrect, only males have an extreme high value (potential outlier), females do not.
• Option 4: Incorrect, the male graph is not symmetrical.

Answer:

There is a high data value that causes the data set for the males to be asymmetrical.