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 distance from the median to the lower quartile is different from the distance from the median to the upper quartile, and the whiskers are of unequal lengths. So the data is skewed.

Step2: Check upper - bound of data

The right - most part of the box - plot (the end of the upper whisker) extends beyond 5 hours, so she did work more than 5 hours.

Step3: Analyze symmetry and likelihood

Since the data is skewed, we can eliminate the symmetric options. And from the box - plot, we can see that the median is around 3.5 - 5 hours range, but we cannot say she was equally likely to work more than 3.5 hours or less than 5 hours just based on the skewness.

Answer:

The data is skewed and shows that she never worked more than 5 hours is incorrect as she did work more than 5 hours. The symmetric options are incorrect as the data is skewed. The correct statement is that the data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours is incorrect too. There seems to be an error in the provided options as none of them are completely correct based on a proper box - plot analysis. But if we assume some leniency in the question, the data is skewed and we cannot say she never worked more than 5 hours, so the best option among the given ones is that the data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours (even though this statement has some inaccuracies in a strict sense). So, if we have to choose, we choose the option "The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours".