Question

marisa recorded the number of hours she babysat each day last summer. she plotted the data in the box plot. number of hours of babysitting each day which statement must be true according to the box plot? the data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours. the data is symmetric and shows that she never worked more than 5 hours. the data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours. the data is skewed and shows that she never worked more than 5 hours.

Explanation:

Step1: Analyze box - plot shape

The box - plot shows that the left whisker is longer than the right whisker, indicating that the data is skewed.

Step2: Identify quartile values

The median is around 4.5, the lower quartile (Q1) is around 3.5 and the upper quartile (Q3) is around 5. The inter - quartile range (IQR) is Q3 - Q1 = 5 - 3.5=1.5. The data is symmetric if the distance from Q1 to the median is the same as the distance from the median to Q3 and the whiskers are of equal length. Here, it is not the case, so the data is skewed. Also, the right whisker extends to 10, so she did work more than 5 hours. The probability of working more than 3.5 hours (Q1) or less than 5 hours (Q3) is the same within the inter - quartile range.

Answer:

The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.