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honey lemon honey lemon
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5 years ago
Horatio Oscar Vineeth Lane (HOV Lane for short) records his commute times for a period of one month and assigned them to five different categories as shown in the table.

Commute LengthNumber of Observations
commute time <10 minutes1
10 ≤ commute time < 20 minutes2
20 ≤ commute time < 30 minutes4
30 ≤ commute time < 40 minutes9
40 ≤ commute time < 50 minutes4

What is the average commute time for HOV Lane?
Textbook 
Introduction to Management Science

Introduction to Management Science


Edition: 13th
Author:
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#1
5 years ago
Taking the midpoints of each observation as the value of the random variable, we get .05 × 5 + .1 × 15 + .2 × 25 + .45 × 35 + .2 × 45 = 31.5 minutes
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