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Consider the situation where the number of e-mails received in a day was recorde

ID: 3045173 • Letter: C

Question

Consider the situation where the number of e-mails received in a day was recorded in the intervals below each day for several weeks. The frequency distribution is given in the table below:

E-Mails

What is the best estimate of the mean number of e-mails received?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

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Consider the situation where the number of e-mails received in a day was recorded in the intervals below each day for several weeks. The frequency distribution is given in the table below:

If a histogram is made of the above data, how many classes would be used?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

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Consider the situation where the number of e-mails received in a day was recorded in the intervals below each day for several weeks. The frequency distribution is given in the table below:

What is the interval midpoint (25.00, 75.00, 125.00, 175.00, 225.00, 275.00) that would best estimate the mode?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

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Consider the situation where the number of e-mails received in a day was recorded in the intervals below each day for several weeks. The frequency distribution is given in the table below:

What is the sample size number of days in the study?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

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Consider the situation where the number of e-mails received in a day was recorded in the intervals below each day for several weeks. The frequency distribution is given in the table below:

What is the relative frequency of the 0-49 interval for the number of e-mails received?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

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E-Mails

Frequency 0-49      10 50-99       5 100-149      13 150-199      11 200-249       7 250-299       4

Explanation / Answer

Estimated mean:

Estimated mean = 6825/50 = 136.50

Number of classes used are 6.00 as these are the number of groups given.

Mode is the number with highest occurrances in the given data. Here estimated mode is 125.00 as it belongs to the class with maximum frequency.

Sample size is 50 i.e. the sum of frequency of all classes

Relative frequency = 10/50 = 0.20

Class Frequency(f) Midpoint(x) fx 0-49 10 24.5 245 50-99 5 74.5 372.5 100-149 13 124.5 1618.5 150-199 11 174.5 1919.5 200-249 7 224.5 1571.5 250-299 4 274.5 1098 50 6825