A set of eight systolic blood pressures is given. Find the median value for the
ID: 3203097 • Letter: A
Question
A set of eight systolic blood pressures is given. Find the median value for the dataset. Find the values of the lower and upper quartiles. Q_1 = Q_3 = Find the value of the interquartile range (IQR). IQR = One of the items on a survey instrument administered to a large statistics class at Penn State University was, "What is the maximum speed you've ever driven?". Their answers were entered into a spreadsheet under the variable name "fastest". Let's assume that the survey participants (88 men and 104 women) were truthful in their responses. Use the descriptive statistics output below to answer the following questions.Explanation / Answer
a. The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
104 112 116 120 121 129 133 152
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:
Median=120+121/2=120.5
b. Q1=
The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
104 112 116 120 121 129 133 152
So, the bottom half is
104 112 116 120
The median of these numbers is 114.
The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.
104 112 116 120 121 129 133 152
So, the upper half is
121 129 133 152
The median of these numbers is 131.
c. Interquartile =
The interquartile range is the difference between thethird and first quartiles.
The third quartile is 131.
The first quartile is 114.
The interquartile range = 131 - 114 = 17.
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