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. 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. 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

Brief Explanations:

  • A symmetric box - plot has the median in the middle of the box and the whiskers of equal length. This box - plot is not symmetric as the lengths of the whiskers and the parts of the box on either side of the median are not equal. So, the data is skewed.
  • The right - hand side of the box (the upper half) starts at the median. If the median is (4.5) (approximate from the box - plot), the lower half of the data (less than the median) is from the minimum to the median and the upper half (more than the median) is from the median to the maximum. But if we consider the values (3.5) and (5), in a skewed box - plot, the fact that the distance from (3.5) to the median (assuming median (m)) and from the median to (5) can be used to analyze the spread. In a box - plot, the median divides the data into two halves. If we assume some basic properties of the box - plot (where the box represents the inter - quartile range (IQR = Q3 - Q1)), and if (Q1 = 3.5) and (Q2) (median) is such that the distance from (Q1) to (Q2) is the same as from (Q2) to (Q3) (in terms of the box's symmetry within the box itself, but overall the plot is skewed), we can say that half of the data is more than (Q1) and half is less than (Q3).

Answer:

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