SAT One-variable data: distributions and measures of center and spread Practice Question 7 (Medium)

Question bank / One-variable data: distributions and measures of center and spread

Math · Problem-Solving and Data AnalysisMedium

Number of pets	1	2	3	4	5
Number of households	4	7	5	3	1

The table shows the distribution of the number of pets owned by each of $20$ households. What is the mean number of pets per household?

$2$

$2.5$

$3$

$10$

Show answer and explanation

Answer: B

Multiply each value by its frequency and add: $1(4) + 2(7) + 3(5) + 4(3) + 5(1) = 4 + 14 + 15 + 12 + 5 = 50$ . Divide by the number of households: $\frac{50}{20} = 2.5$ .

Choice C is the mean of the values $1$ through $5$ , ignoring how many households have each value.

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