Statistics Question

Quiz 2
STA 1013
02/05/2023
Department of Statistics
Student Name: ___________________________
Florida State University
FSUID: __________________________________
Spring 2023
Instructions:
This quiz is open note, but collaboration is not permitted, meaning you are not allowed to
communicate with another person about the questions.
Please write down all your steps clearly to receive all points.
Even if you do not know how to solve a problem completely, write down the steps you do know
to receive partial credit.
There are 8 problems to this quiz worth 65 total points.
Your answers must be submitted on Canvas by 11:59pm on Sunday, February 5th.
Questions:
1) Below we have a list of temperatures of people who came in to be tested for Covid-19 at
a local health clinic. Provide a stem plot of this data and comment on the distribution. (5
points)
Temperature (in degrees Fahrenheit): 98.6, 98.2, 97.5, 99.3, 101.8, 97.2, 99.9, 103.5,
100.4, 99.7, 98.0. 97.5, 97.9, 98.6, 97.4, 102.6, 100.9, 101.9, 97.0
1
2) The min, Q1, Q2, Q3 and max of test scores for 5 different math classes are listed below.
Which class had the smallest middle 50% spread (4 points)?
Class A: 56, 71, 82, 89, 95
Class B: 64, 69, 78, 85, 92
Class C: 59, 67, 73, 80, 89
Class D: 64, 75, 83, 89, 94
3) Through convenience sampling, a researcher collected the age of college students as they
left the student union on campus, and that data is provided below.
24 23 25 23 30 29 28 26 33 29
24 37 25 23 22 27 28 25 31 29
25 22 31 29 22 28 27 26 23 21
25 21 25 24 22 26 25 32 26 29
(a) Compute the mean, median, and mode of the ages (6 points).
(b) Of the three measures of center, does one seem to represent the age of college
students most accurately? Explain (2 points).
2
4) After the completion of a 5k event, the participants’ finish times were recorded in
minutes and are listed below.
17 18 18 18 19 20 20 20 21 21 21 21 22 22 22 22 22 22 23 23 24 24 24 24 24 24 24
24 25 26 26 26 26 26 26 27 27 27 27 27 28 28 29 31 31 32 32 34 35 38
Make a box-and-whisker plot of the given data (10 points).
5) Using the given dataset,
76, 79, 97, 109, 113, 114, 114, 117, 117, 135, 141, 152, 169, 294
Determine if there any outliers? Why or why not (4 points)?
3
6) 15 people, ages 18-24, were surveyed about the average number of text messages they
send daily. Their responses were: 30, 300, 50, 30, 175, 60, 100, 300, 20, 150, 80, 50,
100, 65, 0.
Generate the summary statistics for this data and provide them below (18 points).
a) First Quartile
b) Second Quartile
c) Interquartile range
d) Mean
e) Sample Standard Deviation
f)
Sample Variance
g) What would be the best measure of center for this data set? Why?
h) What would be the best measure of spread for this data set? Why?
4
7) Aaron recorded the bottles of water he drank each week, and those values are provided
below:
1 12 15 7 12 15 6 10 18 12 17 18 16 5 11 4 14 5 15 7 3 11 16 19 13 20 6 17 18 11
Using this data, complete the following (10 points):
a) Complete the frequency table and draw the histogram for the given data (Don’t
forget to label your axes and the intervals).
Number
of
Bottles
Frequency
Relative
Frequency
1-4
5-8
9-12
13-16
17-20
b) Describe the shape of the histogram. Is there any skewedness?
5
8) Candace wanted to examine the wait times at the coffee shops in town, so she measured
the time it took for her to receive her order at six different locations. The table below has
the wait time z-score of those six places.
Use the information in the table to answer the questions that follow.
Coffee Shop
Lucky Bear
Ginger’s Coffee House
Cup of Joe’s Cafe
Dippin’ Donuts
Whole Bean Scene
Taproom Coffee
z-score
0.31
-0.02
0.59
-0.58
0.01
-0.048
a) Of the coffee shops in the table above, which one’s wait time was
i) Closest to average?
ii) Furthest from average?
b) Of Ginger’s Coffee House and Whole Bean Scene, which one has the slowest
wait time?
c) Of the Taproom Coffee and Dippin’ Donuts, which one has the fastest wait time?
d) Taproom Coffee has a slower/faster/approximately the same wait time as Lucky
Bear.
6