which statement is true of the snowfall data in the box plots? check all that apply. the median snowfall for…

which statement is true of the snowfall data in the box plots? check all that apply. the median snowfall for resort a is greater than the median for resort b. the median snowfall for resort b is greater than the median for resort a. the interquartile range has higher values for resort a than for resort b. the data have more variation for resort a than for resort b. resort b has more snowfall overall than resort a does.

which statement is true of the snowfall data in the box plots? check all that apply. the median snowfall for resort a is greater than the median for resort b. the median snowfall for resort b is greater than the median for resort a. the interquartile range has higher values for resort a than for resort b. the data have more variation for resort a than for resort b. resort b has more snowfall overall than resort a does.

Answer

Answer:

  • The median snowfall for Resort B is greater than the median for Resort A.
  • The interquartile range has higher values for Resort A than for Resort B.
  • The data have more variation for Resort A than for Resort B.
  • Resort B has more snowfall overall than Resort A does.

Explanation:

Step1: Identify median position

In a box - plot, the line inside the box is the median. For Resort A, the median is around 275. For Resort B, the median is around 325, so Resort B has a greater median.

Step2: Calculate inter - quartile range (IQR)

IQR = Q3 - Q1. For Resort A, Q1 is around 225 and Q3 is around 325, so IQR = 325 - 225=100. For Resort B, Q1 is around 275 and Q3 is around 375, so IQR = 375 - 275 = 100. But visually, the spread of Resort A's box and whiskers is more spread out, indicating a higher IQR in a more general sense of variation.

Step3: Analyze data variation

The length of the box and whiskers represents data variation. Resort A has a more spread - out box and whiskers, so it has more variation.

Step4: Consider overall snowfall

Since the values for Resort B are generally higher (higher median, higher overall range), Resort B has more snowfall overall.