Question

The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is given below.:
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?
b. Convert the frequency distribution to a cumulative frequency distribution.
c. Portray the cumulative distribution in the form of a cumulative frequency polygon.
d. Based on the cumulative frequency polygon, about 75 percent of the employees accumulated how many miles or less?

Answer 1

Answer:

A.) 5 employees

D.) 9 miles or less

Step-by-step explanation:

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?

5 employees (from the frequency table)

b. Convert the frequency distribution to a cumulative frequency distribution.

Frequent Flier Miles(000) ____ F ____ cumm/F

0 up to 3 __________________ 5 ____ 5

3 up to 6 __________________ 12 ___ 17

6 up to 9 __________________ 23 __ 40

9 up to 12 __________________ 8 __ 48

12 up to 15 _________________ 2 __ 50

c. Portray the cumulative distribution in the form of a cumulative frequency polygon.

d. Based on the cumulative frequency polygon, about 75 percent of the employees accumulated how many miles or less?

75% of employees

(75 / 100) * total number of employees

0.75 * 50

= 37.5

From the Cummulative frequency polygon, 75% of the employees accumulated about 9 miles or less

Check attached picture for Cummulative frequency polygon.