Harper MTH165 Homework Section 3.1 Latest 2020 MAY

MTH165 ELEMENTARY STATISTICS

Homework Section 3.1

In this section you learned how to summarize data with a measure of center.

What 3 measures of center were discussed in this section of the book?

1.            __________ ________

2.            __________________

3.            __________________

What is the symbol for population mean?

population mean = ____

What is the symbol for sample mean?

sample mean = ____

Fill in the following as you work through your given problems in MyOpenMath

Fill in the following in the context of this problem:

Individual: ___________________ ___________________________

Variable: _____ _________________________________(measured in mg/dL)

Type of variable: _________ _____________________________

Use StatCrunch to find the mean, median and mode of the data.

You can copy the list of data given in MyOpenMath and copy into a column in StatCrunch.

Mean = _______ = __________             ___mg/dL___________ (symbol, value, units)

Median = __________ __mg/dL____________ (value, units)

Mode(s):             ________ ______________mg/dL ____________________________ (value(s) and units)

Write a sentence in context for the mean.           Look at Example 3.1.1 for sample wording.

______________This is the measure of center that most people call the average.

Write a sentence in context for the median.       Look at Example 3.1.1 for sample wording.

____ data value is in the middle of the data set_____________________________________________________________________________

Write a sentence in context for the mode.           Look at Example 3.1.1 for sample wording.

________data value occurs most often is called mode_________________________________________________________________________

_________________________________________________________________________________

Fill in the following in the context of this problem:

Individual: ____________          ___________________________________

Variable: ____________ __________________________________

Type of variable: ___________ ____________________________

a.            Use StatCrunch to find the mean, median and mode of the data.

Mean = _______ = ____             ______                _____dollars_________ (symbol, value, units)

Median = _____ _________ (value, units)

Mode(s):             __________ ________________________________________ (value(s) and units)

b.            Use StatCrunch to find the mean, median and mode of the data without the CEO salary.

Mean = _______ = __________             ___ ___________ (symbol, value, units)

Median = __________ ___ ___________ (value, units)

Mode(s):             __________________________________________________ (value(s) and units)

c.             Which statistic was most affected by removing the CEO salary?  ___ _______________

 Name and make a quick sketch of the 4 shapes discussed in chapter 2:

                What shape is your given graph? _____ __________________________________________

Which measure of center should be used? ________ ________________

                What shape is your given graph? _____________ __________________________________

Which measure of center should be used? ______ __________________

                What shape is your given graph? ____________ ___________________________________

Which measure of center should be used? _______________________

                You are computing a weighted average for this one.

First fill in the table below with the values you need to enter into two lists on your calculator.

cCGoal 2Job c3

Evaluation Category                 Rating                       Weight %

                Competency 1                   3                              2

                Competency 2                   4                              3

                Competency 3                   2                              3             

                Competency 4                   3                                                              2

                Competency 5                   2                                                              5

                Goal 1                                   3                                                              22

                Goal 2                                   1                                                              21

                Job Effectiveness             2                                                              21

                Core  values                       21                                                           2

Find the weighted average score for this employee using your TI84.        _________________________

If an employee has a score less than 2.5, they must have a Performance Enhancement Plan written. Does this employee need a Performance Enhancement Plan? ___yes______

                You are computing a weighted average for this one.

First fill in the table below with the values you need to enter into two lists on your calculator.

Grade Category                   Grade                       Weight %

                Test 1                                    53                                                           18

                Test 2                                    58                                                           15

                Test 3                                    56                                                           17          

                Homework                         82                                                           6             

                Semester Project             90                                                           7                             

                Final Exam                           100                                                         37

What numeric grade did the student earn in the course?              ______