marisa recorded the number of hours she babysat each day last summer. she plotted the data in the box plot…

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.

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.

Answer

Explanation:

Step1: Analyze box - plot symmetry

If the median is in the middle of the box and the whiskers are approximately the same length on both sides, the data is symmetric. If not, it is skewed. From the box - plot, we can see that the data is not symmetric, so it is skewed.

Step2: Analyze quartile values

The box in a box - plot represents the inter - quartile range (IQR). The median divides the data into two halves. We know that in a box - plot, the box starts at the first quartile ($Q_1$) and ends at the third quartile ($Q_3$). Here, we can see that the box is positioned in a way that the probability of being above a certain value (around 3.5) and below another value (around 5) can be compared. Since the data is skewed, we consider the spread of the data. The fact that the box is positioned such that the areas on either side of the median - related values (3.5 and 5) can be used to analyze the likelihood of working more or less hours. Also, we can see from the whisker on the right - hand side that the data extends beyond 5 hours.

Answer:

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