MTH 245 WHW 9
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Oregon State University, Corvallis *
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Course
245
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
3
Uploaded by jingleheimerjohn21
Name: ____________________________________ 1 MTH 245 Written Homework #9 Statistics Learning Objectives •
Understand the definitions of population, sampling, statistic, parameter, and data
•
Construct and understand frequency tables for a set of data
•
Create and interpret histograms
•
Find the median of a set of data
•
Identify situations in which statistics can be misleading
•
Find the mean from a frequency table
1)
You want to find the average GPA of all of the students who are taking English at the University of Rhode Island.
There are 200 English classes, and you survey the GPAs of 40 English classes. You calculate that the average
GPA is 3.1/4.0. Identify the following:
▪
Population
▪
Sample
2)
Explain how a statistic differs from a parameter.
What is the value of the statistic in this problem (or state that it is
unknown)? What is the value of the parameter in this problem (or state that it is unknown)?
3)
What the type
(s)
of misleading statistical data is present in each of the following scenarios?
Briefly explain
your reasoning for each scenario.
The goal of this question is to get you to think ahead
. We will cover this topic more directly in Lesson 44.
There might be more than one correct answer, just make sure you can support your choice with r
easonable
explanation.
a)
The average income for a town of 1000 households is $400,000 per year, yet a billionaire lives in the
town.
A.
The data is misleading because the sample is biased.
B.
The data is misleading because the statistics contain a calculation error.
C.
The data is misleading because it contains an outlier.
2 b)
The average height of a college student is 5’8” based on data obtained from measuring the heights of the
students in your math class.
A.
The data is misleading because the sample is biased.
B.
The data is misleading because the statistics contain a calculation error.
C.
The data is misleading because it contains an outlier.
c)
The average number of hours a student studies is 8 hours per week based on the students surveyed at the
library.
A.
The data is misleading because the sample is biased.
B.
The data is misleading because the statistics contain a calculation error.
C.
The data is misleading because it contains an outlier.
4)
A
researcher gathered data on the amount of time students spent studying per week. Given the following
frequency distribution, fill in the relative and cumulative frequency.
Hours per week: at least Frequency Relative Frequency Cumulative Relative Frequency 0 but less than 2 4 2 but less than 4 15 4 but less than 6 41 6 but less than 8 20 8 but less than 10 7 10 or more 3 a)
What percentage of students study less than 6 hours per week?
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