The geyser Old Faithful in Yellowstone National Park

Rylie Scarbrough

Rylie Scarbrough

Answered question

2022-09-13

The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes,30 of dormancy periods that occurred during a recent year.Construct a frequency distribution using a class width of 7, and using 55 as the lower class limit for the first class.

Answer & Explanation

Jazz Frenia

Jazz Frenia

Skilled2023-05-29Added 106 answers

To construct a frequency distribution, we need to organize the given data into classes or intervals and count the number of observations falling within each interval.
Given:
Class width = 7
Lower class limit for the first class = 55
To construct the frequency distribution, we can proceed as follows:
Step 1: Determine the class boundaries.
Since the lower class limit is 55 and the class width is 7, we can calculate the class boundaries as follows:
First class boundary = Lower class limit = 55
Second class boundary = Lower class limit + Class width = 55 + 7 = 62
Third class boundary = Lower class limit + 2 * Class width = 55 + 2 * 7 = 69
And so on.
Step 2: Count the number of observations falling within each interval and create the frequency table.
Class Interval Frequency
[55,62)
[62,69)
[69,76)
[76,83)
[83,90)
[90,97)
[97,104)
[104,111)
[111,118)
[118,125)

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