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Answer :
Final answer:
The interquartile range (IQR) of the provided salaries is $28,500, which represents the range of the middle 50 percent of the data set.
Explanation:
To calculate the interquartile range (IQR) of the given salaries, we need to first arrange the data in ascending order and then find the first (Q1) and third (Q3) quartiles. The IQR is the difference between Q3 and Q1.
Arranged Data: $28,000; $33,000; $40,500; $42,000; $54,000; $54,000; $64,500; $68,500; $69,000; $72,000; $120,000
Median (Q2): $54,000 (This is also the 6th value, which is the middle value as there are 11 data points)
Q1 (the median of the first half including Q2): $40,500
Q3 (the median of the second half including Q2): $69,000
IQR = Q3 - Q1 = $69,000 - $40,500 = $28,500
The IQR for the set of salaries is $28,500.
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Answer:
First you order the data from least to greatest
then find the mean
next you Calculate the median of both the lower and upper half of the data
The IQR is the difference between the upper and lower medians.
Step-by-step explanation: