Question

question #5
which of the following stemplots matches the data below?
ages of workers: 54, 35, 30, 47, 18, 38, 32, 50, 53, 45, 53, 27, 65, 61, 61, 58, 19, 65, 62, 48, 30, 18, 37, 57, 41, 31

Explanation:

Step1: Sort the data

Sort the ages of workers: \(18,18,19,27,30,30,31,32,35,37,38,41,45,47,48,50,53,53,54,57,58,61,61,62,65,65\)

Step2: Analyze the stem - and - leaf plot

• Stem 1: The data points starting with 1 are \(18,18,19\), so the leaf should be \(889\)
• Stem 2: The data point starting with 2 is \(27\), so the leaf should be \(7\)
• Stem 3: The data points starting with 3 are \(30,30,31,32,35,37,38\), so the leaf should be \(0012578\)
• Stem 4: The data points starting with 4 are \(41,45,47,48\), so the leaf should be \(1578\)
• Stem 5: The data points starting with 5 are \(50,53,53,54,57,58\), so the leaf should be \(033478\)
• Stem 6: The data points starting with 6 are \(61,61,62,65,65\), so the leaf should be \(11255\)

Answer:

The fourth stem - and - leaf plot (the one with stem 1: \(889\), stem 2: \(7\), stem 3: \(0012578\), stem 4: \(1578\), stem 5: \(033478\), stem 6: \(11255\))