QuestionFourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. Use the given da construct a boxplot and identify the 5 -number summary.
134
149
135
125
120
125
146
130
132
140
137
140
125
150
The 5 -number summary is , and , all in mm Hg .
(Use ascending order. Type integers or decimals. Do not round.)
Which boxplot below represents the data?
A.
B.
D.
C.
Submit 9
Studdy Solution
STEP 1
1. The data set consists of 14 systolic blood pressure readings.
2. The goal is to construct a boxplot and identify the 5-number summary, consisting of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.
3. The data must be sorted in ascending order before calculating the quartiles.
STEP 2
1. Sort the data in ascending order.
2. Identify the minimum and maximum values.
3. Calculate the median (Q2) of the data set.
4. Determine the first quartile (Q1) and third quartile (Q3).
5. Construct the boxplot using the 5-number summary.
STEP 3
Sort the data in ascending order.
STEP 4
Identify the minimum value.
The minimum value is:
STEP 5
Identify the maximum value.
The maximum value is:
STEP 6
Calculate the median (Q2).
Since there are 14 data points, the median is the average of the 7th and 8th values.
STEP 7
Determine the first quartile (Q1).
Q1 is the median of the first half of the data set (first 7 values):
The median of this subset is the 4th value.
STEP 8
Determine the third quartile (Q3).
Q3 is the median of the second half of the data set (last 7 values):
The median of this subset is the 4th value.
STEP 9
Construct the boxplot using the 5-number summary.
The 5-number summary is:
Based on this 5-number summary, you would select the appropriate boxplot from the given options.
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