Questions: The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Incorporated is given here. Frequent Flier Miles (000) Frequency 0 up to 3 5 3 up to 6 12 6 up to 9 23 9 up to 12 8 12 up to 15 2 Total 50 Required: a. How many employees accumulated less than 3,000 miles? Number of employees b. Convert the frequency distribution to a cumulative frequency distribution. Miles CF Less than 3 Less than 6

The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Incorporated is given here.

Frequent Flier Miles (000)  Frequency
0 up to 3  5
3 up to 6  12
6 up to 9  23
9 up to 12  8
12 up to 15  2

Total  50

Required:
a. How many employees accumulated less than 3,000 miles?

Number of employees
b. Convert the frequency distribution to a cumulative frequency distribution.

Miles  CF
Less than 3  
Less than 6
Transcript text: The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Incorporated is given here. \begin{tabular}{|cc} \hline Frequent Flier & \\ Miles (000) & Frequency \\ 0 up to 3 & 5 \\ 3 up to 6 & 12 \\ 6 up to 9 & 23 \\ 9 up to 12 & 8 \\ 12 up to 15 & 2 \\ \hline Total & 50 \\ \hline \hline \end{tabular} Required: a. How many employees accumulated less than 3,000 miles? Number of employees b. Convert the frequency distribution to a cumulative frequency distribution. \begin{tabular}{|c|c|} \hline Miles & CF \\ \hline Less than 3 & \\ \hline Less than 6 & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the Frequency Distribution
  • The frequency distribution table is given as follows:
    • 0 up to 3: 5
    • 3 up to 6: 12
    • 6 up to 9: 23
    • 9 up to 12: 8
    • 12 up to 15: 2
Step 2: Calculate Employees with Less than 3,000 Miles
  • The first class interval (0 up to 3) represents employees with less than 3,000 miles.
  • The frequency for this interval is 5.

Final Answer

  • The number of employees who accumulated less than 3,000 miles is 5.
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