QuestionFind the interquartile range of the following heights (in inches): 5'4", 6'2", 6', 5'4", 5'4", 5'3", 5'5", 5'6", 5'4", 5'3".
Studdy Solution
STEP 1
Assumptions1. The heights are given in feet and inches. The heights are5'4",6'",6',5'4",5'4",5'3",5'5",5'6",5'4",5'3"
3. We need to convert these heights into a single unit (inches) to make calculations easier4. The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1)
STEP 2
First, we need to convert all the heights into inches. We can do this by multiplying the feet by12 and then adding the inches.
STEP 3
Now, convert each height into inches using the formula from2.
STEP 4
Once all the heights are in inches, we need to sort them in ascending order.
STEP 5
Now that the heights are sorted, we can find the first quartile (Q1). This is the median of the first half of the data.
STEP 6
Similarly, we can find the third quartile (Q3). This is the median of the second half of the data.
STEP 7
Finally, we can find the interquartile range by subtracting Q1 from Q3.
STEP 8
Calculate the interquartile range using the values of Q3 and Q1 obtained in6 and5.
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