Questions: Consider the following sets of sample data: A: 32,800, 20,700, 30,100, 27,300, 38,800, 36,600, 36,600, 22,700, 34,600, 22,700, 34,100, 39,300, 27,700, 27,700 B: 3.82, 4.32, 4.05, 3.04, 3.92, 4.61, 3.86, 4.03, 4.12, 2.96, 4.56 Which of the above sets of sample data has the larger spread? Data Set A Data Set B

Consider the following sets of sample data:
A: 32,800, 20,700, 30,100, 27,300, 38,800, 36,600, 36,600, 22,700, 34,600, 22,700, 34,100, 39,300, 27,700, 27,700
B: 3.82, 4.32, 4.05, 3.04, 3.92, 4.61, 3.86, 4.03, 4.12, 2.96, 4.56

Which of the above sets of sample data has the larger spread?

Data Set A
Data Set B
Transcript text: Correct Consider the following sets of sample data: A: $\$ 32,800, \$ 20,700, \$ 30,100, \$ 27,300, \$ 38,800, \$ 36,600, \$ 36,600, \$ 22,700, \$ 34,600, \$ 22,700, \$ 34,100, \$ 39,300, \$ 27,700, \$ 27,700$ B: $\quad 3.82,4.32,4.05,3.04,3.92,4.61,3.86,4.03,4.12,2.96,4.56$ Step 2 of 2: Which of the above sets of sample data has the larger spread? Answer Data Set $A$ Data Set B
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Solution

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Solution Steps

Step 1: Calculate the Spread for Each Data Set

Using the range, the spread for Data Set A is calculated as 18600. Using the range, the spread for Data Set B is calculated as 1.65.

Step 2: Compare the Spreads

Data Set A has a larger range (18600) than Data Set B (1.65).

Final Answer:

Data Set A has a larger spread using the range measure.

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