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Question
question 4 (3 points)
the data represent the number of ounces of water that 26 students drank before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.
here is a dot plot and a box plot for the data.
- what information about the data is provided by the box plot that is not provided by the dot plot?
the box plot displays the median (mean, median) and the quartiles (quartiles, quantities). to find those values using a dot plot would (not be possible, require calculation).
- what information about the data is provided by the dot plot that is not provided by the box plot?
the dot plot displays all (some of, all) the data and can be used to determine the most (the most, none of the) frequent value or values.
- it was recommended that students drink 48 or more ounces of water. how could you use a histogram to easily display the number of students who drank the recommended amount?
a histogram with intervals from 0 to 48 (48, 72) and 72 (48,72) to 96 would easily display this information.
blank 1: median
blank 2: quartiles
blank 3:
Step1: Analyze box - plot features
Box - plots display the median and quartiles directly.
Step2: Analyze dot - plot features
Dot - plots show all data points, which helps in determining the most frequent values.
Step3: Consider histogram intervals
To show students who drank 48 or more ounces, we need intervals that separate values below 48 from those 48 and above. Intervals from 0 to 48, 48 to 72, and 72 to 96 work well. For the first blank related to box - plot info not in dot - plot, it's median and quartiles. For the second blank related to dot - plot info not in box - plot, it's all data and most frequent values. For the third blank, we need an interval starting at 48 to separate the recommended amount.
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- Median; Quartiles; require calculation
- All; the most
- 48; 72