Ch4 Review.doc - Ch 4 Review p 74#1 – 10 all but omit 7a 1 a average = 50 SD = 81 4 0 0 16 49 25 = 5 6 b The numbers on the list within 0.5 SD’s =

# Ch4 Review.doc - Ch 4 Review p 74#1 – 10 all but omit 7a...

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Ch. 4 Review, p. 74: #1 – 10 all, but omit 7a 1. a) average = 50, SD = 25 6 49 16 0 0 4 81 = 5 b) The numbers on the list within 0.5 SD’s = numbers in the interval 50 +/- 2.5: 48, 50, 50 The numbers on the list within 1.5 SD’s = numbers in 50 +/- 7.5: 48, 50, 50, 54, 57 2. a) List (ii) has the smaller SD because more entries are clustered near the average, making the list have less spread. b) List (i) has the smaller SD because list (ii) has 2 entries that are way out. 3. a) The average is around 5 since some numbers are near 10, some near 1. b) The SD is around 3 since about 95 % of the entries (in general) should be within +/- 2 SD’s, we know that 1 is not big enough, but 6 is too big. 4. The histogram for income for persons age 25 and over in the U.S. would have a long right hand tail, with Bill Gates and others stretching the histogram far and thin to the right. Since the average is the balance point, it would need to move to the right to “hold up” the tail. That means that the average would be larger than the median.

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