The following cumulative frequency graph shows the number of

The following cumulative frequency graph shows the number of years that employees remain at the XYZ company. Find the median the upper quartile interquartile range Find the probability than an employee serves no more than 4 years at the XYZ company.

Solution

a) median is in 50%

so the number of years for 50% is aproximately 3.8

upper quartile is Q3 that is 75% so

the number of years for 75% is aproximately 6

and Q1 is 25%

so the number of years for 25% is aproximately 2.5

IQR = 6 - 2.5 = 3.5

b)

to find the probability that an empoyes serves no more than 4 years we need to use the graph and see the x axis the number 4 then we do a vertical line to touch the graph and then when we touch the graph we will do a horizontal line to see the y axis and that will be the probability

so for no more than 4 will be a probability of 52% aproximately