alleryStart learning →For thirteen house prices the first quartile is 308,750 and the third quartile is 649,000. What is the interquartile range?
A957,750
B340,250
C170,125
D310,250
Answer & Solution
Correct answer: B. 340,250
1. The interquartile range is always the third quartile minus the first quartile.
2. Line the two figures up: 649,000 and 308,750.
3. Subtract 308,750 from 649,000.
4. 649,000 minus 300,000 is 349,000.
5. Take off the remaining 8,750 to get 340,250.
6. So the interquartile range is 340,250.
7. Answering 957,750 adds the two quartiles instead of subtracting them.
8. Answering 170,125 halves the correct answer, which no step in the rule calls for.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.3 Measures of the Location of the Data_
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