Mathematics, 22.03.2021 20:00 emblemhacks
Use the scenario to answer the question.(20 Coins)
Bryan is asked to find the interquartile range for the data set {5,6,6,8,10,11,14,16,17}.
His work follows.
Step A: Find the median of the data set. The median, or Q2
, is 10.
Step B: Find the value of Q1
, or the median of the lower half of the data set, {5,6,6,8}.
Q1=6+62=6
Step C: Find the value of Q3, or the median of the upper half of the data set, {11,14,16,17}.
Q3=14+162=15
Step D: Find the difference between Q3
and Q1
.
IQR=15β6=9
At which step did Bryan make a mistake, if he made one?
At Step D, he incorrectly found the IQR. He should have found the difference between each quartile to get 10β6=4
and 15β10=5.
At Step C, he incorrectly found the value of Q3
. He should have included 10 to get Q3=14.
At Step B, he incorrectly found the value of Q1
. He should have found the sum of the values and then divided by 4 to get Q1=6.25.
He did not make a mistake.
At Step A, he incorrectly found the value of the median. He should not have included both 6
values, so the median is 10+112=10.5.
Answers: 3
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Use the scenario to answer the question.(20 Coins)
Bryan is asked to find the interquartile range f...
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