Statistics
Math 117 Assignment
1. Attached is the pulse rate data from all of Prof. Rose’s classes for Fall 2020. Make a dot plot of this data by hand using graph paper and answer the following questions, then upload your graph and your answers to Blackboard. Your dot plot should have clearly labeled axes and categories, along with a title. Your uploaded files must bepdf,jpegordocx. Your documents must be viewable without rotating them.
1. How many cases and variables are there in this dataset?
2. Calculate (showing your calculation) and comparethe mean pulse rate of the students who exercised with those who did not exercise.
3. Calculate (showing your calculation) and compare the median pulse rate of the students who exercised with those who did not exercise.
4. Does either measure of center (either the mean or the median) appear to justify a conclusion that 10 seconds of exercise is sufficient to increase a person’s heart rate?
You have been given two attempts at this assignment in case of technical difficulties. If you need a third attempt, contact me (Prof. Rose) by 7 PM on the night before the assignment is due. A copy of these instructions is attached as a file along with the assignment.
Pulse Rate Data For Upload All Classes F2020.xlsx
Free Printable Quarter Inch Grid Graph Paper – graph-paper-quarter-inch.pdf
Pulse Rate Dot Plot Assignment.pdf MATH 117
2.2 Mean and median
The graph below shows natural gas consumption (in billion cubic feet) in all 50 states plus the
District of Columbia. (Data is from Energy Information Administration, 2016). The mean has
been located for you below the axis.
1. Indicate on the graph where the median should be located.
2. Which statistic, the mean or the median, would be affected more if you decide to ignore
the outlier of 4 trillion cubic feet of natural gas consumption? Why?
3. Suppose you suspect that the outlier of 4 trillion cubic feet of natural gas consumption is
an error and you eliminate it from your data. Indicate on the graph your estimate for the
position of the new mean.
4. (From section 2.3) Would it be appropriate to use the 95% rule on this data? Why or why
not?
mean Calendar By: WaterproofPaper.com More Free Printables: Calendars Maps Graph Paper Targets Calendar By: WaterproofPaper.com More Free Printables: Calendars Maps Graph Paper Targets MATH 117 Reading a box plot Name _____________________________
The box plot below is a graph of the dataset Toenail Arsenic which contains 19 observations (cases) of levels of arsenic (in ppm)
found in toenails. Each subject was a New Hampshire resident with a private well as their main water source. Study the graph and
use it to estimate the following:
Minimum ________________ Q1 ______________________ Range _____________________
Maximum ________________ Q3 ______________________ IQR _______________________
Median __________________ Outlier(s) _________________
Name:
Minimum:
Maximum:
Median:
Q1:
Q3:
Outliers:
Range:
IQR: MATH 117
Name ______________________
The data below shows a sample of numbers of attempts for three-point shots for the NBA data in
our data files
Number of 3-point shot attempts in the NBA
333 62 0 8 646 6 153 41 215 184 2 142
1. Enter the data into your calculator. Check that you have entered exactly 12 values and
that your data is correct!
2. Use your calculator to find the 1-Variable Statistics.
List them in the table at right.
3. Identify any outliers. Show your work here:
4. Make a box plot of this data on graph paper. Give
your graph a title and label the axis with values and
the variable name.
OVER
x
x
2
x
Sx
x
n
minX
Q1
Med
Q3
maxX
5. Make a box plot on your calculator. Note that there are two box plots available. What is
the difference between them?
6. Examine your box plot and determine if the 95% rule applies here
7. Make a histogram on your calculator and answer question #6 again. 2.3 The five-number summary
a) What is the size of the data set above? n = ___________
b) Reorder the data set smallest to largest.
c) Determine the smallest and largest values. MIN = __________ MAX = ____________
d) Determine the median. MED = _____________
e) The median divides the data into two halves.
Find the median of the lower half. Q1 =____________
This is the first quartile (the 25th percentile)
Find the median of the upper half. Q3 =____________
This is the 3rd quartile (the 75th percentile)
f) The range is MAX MIN. Find the range of the data set. Range = ___________
g) The Interquartile range (IQR) is Q3 Q1. Find the IQR. IQR = ___________
h) What is the size of the data set above? n = ___________
i) Reorder the data set smallest to largest.
j) Determine the smallest and largest values. MIN = __________ MAX = ____________
k) Determine the median. MED = _____________
l) The median divides the data into two halves.
Find the median of the lower half. Q1 =____________
This is the first quartile (the 25th percentile)
Find the median of the upper half. Q3 =____________
This is the 3rd quartile (the 75th percentile)
m) The range is MAX MIN. Find the range of the data set. Range = ___________
n) The Interquartile range (IQR) is Q3 Q1. Find the IQR. IQR = ___________
333 62 0 8 646 6 153 41 215 184 2 142
339 20 92 4 326 402 459 506 248 12 169 240
Ques
#1
Ques
#2 ID Exercise? 0=no Heart Rate (BPM)
2 Y 32
6 Y 40
3 Y 52
11 Y 72
1 Y 78
4 Y 81
12 Y 82
8 Y 85
7 Y 90
13 Y 90
5 Y 96
9 Y 100
14 Y 106
10 Y 110
16 N 60
20 N 60
28 N 65
15 N 73
25 N 76
19 N 78
18 N 79
27 N 82
24 N 86
17 N 91
23 N 93
26 N 95
21 N 104
22 N 112
