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17. Maximum Wind Speeds The data show the maximumwind speeds in miles per hour recorded for 40 stConstruct a frequency distribution using 7 classes.ates.59 78 62 72 6776 92 7764 8364 70 67 75 7578 75 71 72 9368 69 76 72 8564 70 77 74 7253 67 48 76 5987 53 77 70 63

Question
17. Maximum Wind Speeds The data show the maximum
wind speeds in miles per hour recorded for 40 st
Construct a frequency distribution using 7 classes.
ates.
59 78 62 72 67
76 92 7764 83
64 70 67 75 75
78 75 71 72 93
68 69 76 72 85
64 70 77 74 72
53 67 48 76 59
87 53 77 70 63
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17. Maximum Wind Speeds The data show the maximum wind speeds in miles per hour recorded for 40 st Construct a frequency distribution using 7 classes. ates. 59 78 62 72 67 76 92 7764 83 64 70 67 75 75 78 75 71 72 93 68 69 76 72 85 64 70 77 74 72 53 67 48 76 59 87 53 77 70 63

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Step 1

Frequency distribution:

The number of values lying in the particular interval or the number of times each value repeats is the frequency of that particular class interval or event. The frequencies are calculated by using the tally mark.

Step 2

Obtain the frequency distribution for the dataset of maximum wind speeds:

The dataset of maximum wind speeds is arranged in ascending order as follows:

48, 53, 53, 59, 59, 62, 63, 64, 64, 64, 67, 67, 67, 68, 69, 70, 70, 70, 71, 72, 72, 72, 72, 74, 75, 75, 75, 76, 76, 76, 77, 77, 77, 78, 78, 83, 85, 87, 92, 93.

The minimum and maximum values of the dataset of maximum wind speeds are 48 and 93.

Here, number of values of maximum wind speed falls under the specified interval is the frequency of that particular class interval of maximum wind speeds.

Procedure for constructing the frequency distribution:

Step by step procedure for constructing the frequency distribution is given below:

  • The first lower bound should be the minimum value or a number smaller than the minimum value of the variable “maximum wind speeds”. That is, the first lower bound should be 48.
  • The number of values of maximum wind speed falls under the specified interval is the frequency of that particular class interval of maximum wind speeds.
  • The number of class intervals must be 7.
  • Find the class width as (maximum value – minimum value)/ number of classes.
  • Add the ...
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