Question

miles of frequent travelers (miles) / # employees

0 to 3                                                    5

3 to 6                                                   12

6 to 9                                                    23

9 a 12                                                   8

12 to 15                                                 2

total                                                       50

1. How many employees accumulated less than 3,000 miles?

2. convert the distribution into a cumulative frequency frequency distribution.

3. represents the cumulative frequency distribution in the form of cumulative frequency polygons

4. according to the polygon of cumulative frequency. How many miles did 75% of employees accumulate?

Answer 1

a) From the first row we can say, there are 5 employees who accumulated less than 3,000 miles.

b) cumulative frequency frequency distribution:

Cumulative frequency is the total of a frequency and all frequencies so far in a frequency distribution. It is the 'running total' of frequencies

miles of frequent travelers (miles) / # employees / cumulative frequencies

0 to 3                                                    5 5

3 to 6                                                   12 17

6 to 9                                                    23 40

9 a 12                                                   8 48

12 to 15                                                 2 50

c) cumulative frequency polygon:

d) 75% of employees = (75/100)*50 = 37.5

From the graph, we can say it is somewhere close to 8.5 miles