Question

box and whisker plot practice
name: __________ hour: __________
twenty middle school students ran the mile and their times (minutes) were recorded. use the data to make a box and whisker plot. use your box and whisker plot to analyze the data.
8 7.5 6 5.75 10.25 13.75 6.5 8.75 9 8
9.25 10 8.25 8.25 9.25 11 6.75 7 9.5 8.5
rewrite the data in order from least to greatest.
use your list to determine the five - number summary.
five - number summary
minimum:
maximum:
median:
lower quartile:
upper quartile:
create a scale for your number line above.
use four different colors to lightly shade each quartile. each quartile represents 25% of the data.
above your shaded regions, label each quartile 25%. give your box and whisker plot a title.
★1 the first quartile has mile times from 5.75 to 7.25. it represents 50% of the data. true or false
★2 what percentage of the mile times range from 7.25 to 9.375?
★3 is it fair to say that most students have mile times between 9.375 and 11 minutes? explain.
★4 calculate the range, mean and mode.
range: ____ mean: __ mode: ____
★5 what is the interquartile range?
★6 what is the purpose of a box and whisker plot?

Explanation:

Answer:

First, rewrite data in order: 5.75, 6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
Five - Number Summary:
Minimum: 5.75
Maximum: 13.75
Median: 8.375
Lower Quartile: 7.25
Upper Quartile: 9.375
(1) FALSE
(2) 50%
(3) No, because only 25% of data is in that range
(4) Range: 8, Mean: 8.5625, Mode: 8, 8.25, 9.25
(5) 2.125
(6) To show the distribution of data, including median, quartiles, and range of data values