Question

the following data shows the number of cars washed for seven weeks in a garage.
first week - 25
second week - 30
third week - 40
fourth week - 35
fifth week - 45
sixth week - 70
seventh week - 80
find the range and interquartile range of the given data.

range = 55, iqr = 40
range = 42, iqr = 48

Explanation:

Order the data set

Using the Ordering Numbers knowledge point

$$ 25, 30, 35, 40, 45, 70, 80 $$

Calculate the range

Using the Range of Data knowledge point

$$ \text{Range} = \text{Maximum} - \text{Minimum} = 80 - 25 = 55 $$

Find the quartiles and IQR

Using the Interquartile Range knowledge point

$$
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Answer:

• (A) Range = 55, IQR = 40 (Correct answer)
• (B) Range = 42, IQR = 48