they have to Campus. In response, the officials studied the commute distance (in miles and published the following frequency distribution in the school paper. Commute distance (in miles) Frequency 1 to 5 20 6 to 10 21 11 to 15 15 16 to 20 7 21 to 25 26 to 30 4 Based on the frequency distribution, using the midpoint of each data class, estimate the mean commute distance for the students. For your intermediate computations, use four or more decimal places, and round your answer to one decimal place. I miles
they have to Campus. In response, the officials studied the commute distance (in miles and published the following frequency distribution in the school paper. Commute distance (in miles) Frequency 1 to 5 20 6 to 10 21 11 to 15 15 16 to 20 7 21 to 25 26 to 30 4 Based on the frequency distribution, using the midpoint of each data class, estimate the mean commute distance for the students. For your intermediate computations, use four or more decimal places, and round your answer to one decimal place. I miles
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Students at a major university in Southern California are complaining of a serious housing crunch. According to many of these students, they have to commute
too far to school, and so university officials should build more housing near campus. In response, the officials studied the commute distance (in miles) of 72
students at the university and published the following frequency distribution in the school paper.
Commute distance
Frequency
(in miles)
1 to 5
20
6 to 10
21
11 to 15
15
16 to 20
7
21 to 25
26 to 30
4
Based on the frequency distribution, using the midpoint of each data class, estimate the mean commute distance for the students. For your intermediate
computations, use four or more decimal places, and round your answer to one decimal place.
|miles
Expert Solution
Step 1
Given Data :
| Class : "Commute Distance" | Frequency |
| 1 - 5 | 20 |
| 6 - 10 | 21 |
| 11 - 15 | 15 |
| 16 - 20 | 7 |
| 21 - 25 | 5 |
| 26 - 30 | 4 |
Using the midpoint , the below table is created :
| Class (1) |
Frequency (f) (2) |
Mid value (x) (3) |
 |
f⋅d (5)=(2)×(4) |
cf (7) |
| 1 - 5 | 20 | 3 | -3 | -60 | 20 |
| 6 - 10 | 21 | 8 | -2 | -42 | 41 |
| 11 - 15 | 15 | 13 | -1 | -15 | 56 |
| 16 - 20 | 7 | 18=A | 0 | 0 | 63 |
| 21 - 25 | 5 | 23 | 1 | 5 | 68 |
| 26 - 30 | 4 | 28 | 2 | 8 | 72 |
| n = 72 | ∑f⋅d = -104 |
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