Basic Statistics: Tales of Distributions 10th Edition

Published by Cengage Learning
ISBN 10: 0-49580-891-1
ISBN 13: 978-0-49580-891-6

Chapter 4 - Exploring Data: Variability - Problems - Page 62: 4.8

Answer

See explanation

Work Step by Step

**a.** - **Set 1:** 1, 2, 4, 1, 3 (spread roughly from 1 to 4) - **Set 2:** 9, 7, 3, 1, 0 (spread from 0 to 9) → **Set 2 is more variable** because its numbers cover a wider range. **b.** - **Set 1:** 9, 10, 12, 11 (range: 12 – 9 = 3) - **Set 2:** 4, 5, 7, 6 (range: 7 – 4 = 3) → **Both sets are equally variable** (they have the same range). **c.** - **Set 1:** 1, 3, 9.6, 7 (range: about 9.6 – 1 = 8.6) - **Set 2:** 14, 15, 14, 13, 14 (range: 15 – 13 = 2) → **Set 1 is more variable** (its values are spread out much more). **d.** - **Set 1:** 8, 4, 6, 3, 5 (assuming the numbers are 8, 4, 6, 3, 5; range: 8 – 3 = 5) - **Set 2:** 4, 5, 7, 6, 15 (range: 15 – 4 = 11) → **Set 2 is more variable** (a larger range). **e.** - **Set 1:** 114, 113, 114, 112, 113 (range: 114 – 112 = 2) - **Set 2:** 14, 13, 14, 12, 13 (range: 14 – 12 = 2) → **Both sets are equally variable** (they have the same spread, though one is shifted upward).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.