Is the observation of a student enrolled in 4 credit hours (CH) unusual? Why or why not? Briefly explain your answer.

Math 50 – Section #4.2 Name ____________________
Measures of the Spread
Professor Jason Wang
1. The following data set represents the ride time of various roller coaster rides that
are made out of wood in Ohio.
63 90 90 93 105 120 140 193 250
Use this information to find each of the following values. Include the correct
units all your answers and round to 1 decimal place, where applicable.
Range: Standard Dev: Variance:
2. The following data set represents the number of credit hours (CH) that a sample
of students enrolled in during a semester.
16 10 11 13 13 15 15 13 15 17 13 14
11 12 14 14 16 12 15 11 13 10 13 10
15 15 16 8 13 16 14 12.5 14 18 4 13
11 13 5

Use this information to answer each of the following questions. Include the
correct units all your answers and round to 1 decimal place, where applicable.
(a) Find each of the following values.
x = Med = M = Range =
s =
2
s =
(b) Complete the below frequency table for this data set
Number of Credit Hours (CH) Number of Students
4 – 5
6 – 7
8 – 9
10 – 11
12 – 13
14 – 15
16 – 17
18 – 19
(c) Using your frequency table that you just
filled out, construct a histogram for this data set.
(d) Does the Empirical Rule apply? Why or why not? Briefly explain your answer.
(e) According to the Empirical Rule, approximately what percentage of the
observations in this data set fall within one standard deviation of the mean?
(f) Use the data set to determine the actual percentage that fall within one
standard deviation of the mean. (This will require you to calculate a percentage.)
(g) Is the observation of a student enrolled in 4 credit hours (CH) unusual?
Why or why not? Briefly explain your answer.
(h) A student concludes that the mean and standard deviation describe the
center and the spread of the numbers of credit hours for ALL students
enrolled at the college. What would you tell this student? Briefly explain
your answer.

Strawberries

Leave Comment

Your email address will not be published. Required fields are marked *