Question

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a one- month period. 10 20 20 15 10 18 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24 Class Frequency 0-4 5-9 10-14 15-19 20-24 Total (b) Develop a relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places Relative Class Frequency 5-9 10-14 15-19 20-24 Total (c) Develop a cumulative frequency distribution using the classes in part (a) Cumulative Class Frequency

Answer 1

Solution:

(a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, 20-24

Answer:

Where: Frequency is the number of observations that lie in the corresponding class. For example. there are 2 observations between 0 and 4.

(b) Develop a relative frequency distribution using the classes in part (a).

Answer:

(c) Develop a cumulative frequency distribution using the classes in part (a)

Answer:

Answer 2

A doctor’s office staff studied the waiting times for patients who arrive at the office with a request for emergency service. The following data with waiting times in minutes were collected over a one-month period. 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3 Use classes of 0–4, 5–9, and so on in the following: a. Show the frequency distribution. b. Show the relative frequency distribution. c. Show the cumulative frequency distribution. d. Show the cumulative relative frequency distribution. e. What proportion of patients needing emergency service wait 9 minutes or less?