Box plot plot 5 important descriptive measures about data that they represent. The correct statements for given box plots are:
- Option 2: The median snowfall for Resort B is greater than the median for Resort A
- Option 3: The interquartile range has higher values for Resort A than for Resort B.
- Option 5: Resort B has more snowfall overall than Resort A does.
<h3>How does a boxplot shows the data points?</h3>
A box plot has 5 data description.
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called second quartile.
- The last line of the box shows the third quartile.
<h3>How to find the interquartile range?</h3>
IQR(inter quartile range) is the difference between third and first quartile.
Inferring the information each box plot describe, we get:
Wisker's minimum value = minimum value for resort A = 175
Maximum value = 375
Box's minimum value = First quartile = 250
Box's maximum value = Third quartile = 300
First quartile = 250 < Median = Second quartile < 300 = third quartile
Thus, 250 < Median for resort A < 300
IQR = Third quartile - first quartile = 300 - 250 = 50
Range of values = Max - min = 375 - 175 = 200
Wisker's minimum value = minimum value for resort B = 200
Maximum value = 400
Box's minimum value = First quartile = 300
Box's maximum value = Third quartile = 325
First quartile = 300 < Median = Second quartile < 375 = third quartile
Thus, 300 < Median for resort B < 375
IQR = Third quartile - first quartile = 325 - 300 = 25
Range of values= Max - min = 400 - 200
Thus, it is clearly visible that:
Median for resort A < 300 < Median for resort B
or
Median for resort A < Median for resort B.
and
IQR for resort A = 50 > IQR for resort B = 25
and
Both have same variation as both's range is same, which is the interval of values assumed for both resort.
Minimum, maximum, first and third quartile all are smaller for resort A, thus, Resort B has more snowfall overall than Resort A does.
And therefore, the correct statements for given box plots are:
- Option 2: The median snowfall for Resort B is greater than the median for Resort A
- Option 3: The interquartile range has higher values for Resort A than for Resort B.
- Option 5: Resort B has more snowfall overall than Resort A does.
Learn more about boxplot here:
brainly.com/question/1523909
