What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. Age range, years 18-28 29-39 40-50 51-61 62 and over Midpoint x 23 34 45 56 67 Percent of super shoppers 6% 47% 25% 11% 11% For the 62-and-over group, use the midpoint 67 years. (a) Compute the expected age μ of a super shopper. (Round your answer to two decimal places.) μ = (b) Compute the standard deviation σ for ages of super shoppers. (Round your answer to two decimal places.) σ=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon.
Age range, years 18-28 29-39 40-50 51-61 62 and over
Midpoint x 23 34 45 56 67
Percent of super shoppers 6% 47% 25% 11% 11%
For the 62-and-over group, use the midpoint 67 years.

(a) Compute the expected age μ of a super shopper. (Round your answer to two decimal places.)
μ =
(b) Compute the standard deviation σ for ages of super shoppers. (Round your answer to two decimal places.)
σ=
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