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Solved: The following data represent the length of time
Chapter 10, Problem 6CT(choose chapter or problem)
The following data represent the length of time (in minutes) between eruptions of Old Faithful in Yellowstone National Park.
Time (minutes) |
Frequency |
40–49 |
8 |
50–59 |
44 |
60–69 |
23 |
70–79 |
6 |
80–89 |
107 |
90–99 |
11 |
100–109 |
1 |
(a) Approximate the mean length of time between eruptions.
(b) Approximate the standard deviation length of time between eruptions.
Questions & Answers
QUESTION:
The following data represent the length of time (in minutes) between eruptions of Old Faithful in Yellowstone National Park.
Time (minutes) |
Frequency |
40–49 |
8 |
50–59 |
44 |
60–69 |
23 |
70–79 |
6 |
80–89 |
107 |
90–99 |
11 |
100–109 |
1 |
(a) Approximate the mean length of time between eruptions.
(b) Approximate the standard deviation length of time between eruptions.
ANSWER:
Step 1 of 3
Given,
The following data represent the length of time (in minutes) between eruptions of Old Faithful in Yellowstone National Park.
|
Time (minutes) |
Frequency |
|
40–49 |
8 |
|
50–59 |
44 |
|
60–69 |
23 |
|
70–79 |
6 |
|
80–89 |
107 |
|
90–99 |
11 |
|
100–109 |
1 |
a).
The mean length of time between eruptions is given by \(\bar{x}=\frac{\sum_{i=1}^{n} f x}{N}\)