Question

the percent of amount spent by peter on his budget are:

clothes - 20%
utilities - 20%
rent - 30%
food - 14%
other - 16%

find the mean, mode, and range.

mean = 20, mode = 20, range = 16
mean = 10, mode = 15, range = 25

Explanation:

Define the data set

Using the Arithmetic Mean, Mode of Data, and Range of Data knowledge points
The data set consists of the five percentages:

$$ \{20, 20, 30, 14, 16\} $$

Calculate the mean

Using the Arithmetic Mean knowledge point

$$ \text{Mean} = \frac{20 + 20 + 30 + 14 + 16}{5} = \frac{100}{5} = 20 $$

Determine the mode

Using the Mode of Data knowledge point
The value \(20\) appears twice, while all other values appear once.

$$ \text{Mode} = 20 $$

Calculate the range

Using the Range of Data knowledge point

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Answer:

• Mean = 20, Mode = 20, Range = 16 (Correct answer)
• Mean = 10, Mode = 15, Range = 25