1) Jessica has taken her pulse \(11\) times in the last \(7\) hours. Her results are \(81, 81, 74, 92, 86, 82, 81, 78, 63, 92\) and \(69\) beats per minute.
a) Find the minimum, maximum, Q1, Q3, mean and range of the data.
b) Construct a dot plot of Jessica's pulse-rate data.
c) Construct a box and whisker plot of Jessica's pulse-rate data.
d) What is the mode of the data set (or what pulse appeared most)?
2) You are trying to gather data to market a new volleyball league to customers at your fitness gym. The following is data collected on the average age of volleyball players polled on a given weeknight:
\(30,31,25,27,29,27,28,29,27,28,28,28,31,30,29,27,31,31,32,34,27,29,30,31,25,27,29,27,28,29,27,28,28,28,31,30,29,\)
\(27,31,31,32,34,27,29\)
a) Create a dot plot to summarize this data.
b) Describe the data (is it skewed).
c) Suppose a random volleyball player was selected from Illinois. Based on the data above, predict their age.
d) What age would your campaign target?
3) Create an example of a dot plot that is negatively skewed.
4) You are working for the city of Chicago and are responsible for crowd control at Grant Park. The following is a list of wait times in minutes for entering the three day concert Lollapalooza:
\( \begin{matrix} 7&6&5&1 &4& 9& 8& 29& 8& 6 &7 &10 &12 \\ 14& 45& 45& 45& 55& 95& 45& 16& 19& 17& 15& 25& 15 \\ 11& 10& 3& 5& 13& 20& 21& 25& 25& 25& 55& 22& 28 \\ 28& 27& 27& 26& 26& 52& 22& 68& 23& 21& 30& 31& 31 \\ 32& 52& 33& 35& 35& 27& 37& 19& 18& 37& 37& 37& 37 \\ 40& 45& 47& 14& 49\\ \end{matrix} \)
a) Represent this data using a histogram with categories as indicated:
\( 0-9, \ 10-19, \ 20-29, \ 30-39, \ 40-49, \ 50-59, \ 60-69, \ 70-79, \ 80-89, \ 90-99 \ \)
b) Describe the shape and spread of the data.
c) Use the graph to approximate the average wait time for the concert. Explain how you came up with your answer.
d) Are there any outliers in this set of data? If so, what values are they?
Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot by sliding the points on the vertical lines. Then to check your answer click on the "Check Answer" check box.
a) Find the minimum, maximum, Q1, Q3, mean and range of the data.
b) Construct a dot plot of Jessica's pulse-rate data.
c) Construct a box and whisker plot of Jessica's pulse-rate data.
d) What is the mode of the data set (or what pulse appeared most)?
2) You are trying to gather data to market a new volleyball league to customers at your fitness gym. The following is data collected on the average age of volleyball players polled on a given weeknight:
\(30,31,25,27,29,27,28,29,27,28,28,28,31,30,29,27,31,31,32,34,27,29,30,31,25,27,29,27,28,29,27,28,28,28,31,30,29,\)
\(27,31,31,32,34,27,29\)
a) Create a dot plot to summarize this data.
b) Describe the data (is it skewed).
c) Suppose a random volleyball player was selected from Illinois. Based on the data above, predict their age.
d) What age would your campaign target?
3) Create an example of a dot plot that is negatively skewed.
4) You are working for the city of Chicago and are responsible for crowd control at Grant Park. The following is a list of wait times in minutes for entering the three day concert Lollapalooza:
\( \begin{matrix} 7&6&5&1 &4& 9& 8& 29& 8& 6 &7 &10 &12 \\ 14& 45& 45& 45& 55& 95& 45& 16& 19& 17& 15& 25& 15 \\ 11& 10& 3& 5& 13& 20& 21& 25& 25& 25& 55& 22& 28 \\ 28& 27& 27& 26& 26& 52& 22& 68& 23& 21& 30& 31& 31 \\ 32& 52& 33& 35& 35& 27& 37& 19& 18& 37& 37& 37& 37 \\ 40& 45& 47& 14& 49\\ \end{matrix} \)
a) Represent this data using a histogram with categories as indicated:
\( 0-9, \ 10-19, \ 20-29, \ 30-39, \ 40-49, \ 50-59, \ 60-69, \ 70-79, \ 80-89, \ 90-99 \ \)
b) Describe the shape and spread of the data.
c) Use the graph to approximate the average wait time for the concert. Explain how you came up with your answer.
d) Are there any outliers in this set of data? If so, what values are they?
Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot by sliding the points on the vertical lines. Then to check your answer click on the "Check Answer" check box.
5)
|
|
6)
|
|
7)
|
|
8) Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot.
\( 4,8,12,11,16,11,5,3,16,7,10,134,8,12,11,16,11,5,3,16,7,10,13 \)
9) Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot.
\( 20,22,12,15,6,11,15,13,18,10,10,9,9,8,1220,22,12,15,6,11,15,13,18,10,10,9,9,8,12 \)
10) Below are your test scores for the first 10 tests in science class.
\( 99,91,89,92,90,91,95,70,90,9599,91,89,92,90,91,95,70,90,95 \)
a) Create a box and whisker plot for the data.
b) What do you notice about the data?
11) Compare the following five data sets that have been displayed using box and whisker plots.
\( 4,8,12,11,16,11,5,3,16,7,10,134,8,12,11,16,11,5,3,16,7,10,13 \)
9) Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot.
\( 20,22,12,15,6,11,15,13,18,10,10,9,9,8,1220,22,12,15,6,11,15,13,18,10,10,9,9,8,12 \)
10) Below are your test scores for the first 10 tests in science class.
\( 99,91,89,92,90,91,95,70,90,9599,91,89,92,90,91,95,70,90,95 \)
a) Create a box and whisker plot for the data.
b) What do you notice about the data?
11) Compare the following five data sets that have been displayed using box and whisker plots.
a) Which of the data sets has the largest range?
b) Which of the data sets has the largest Median?
c) Which of the data sets has the largest Q1?
d) Which of the data sets has the smallest Q2?
e) Which of the data sets has the smallest Minimum?
f) Which of the data sets has the largest Maximum?
g) Which of the data sets has the smallest IQR?
12) Assume the Box and Whisker Plot and Dot Plot are using the same data. What happened to the lower whisker?
b) Which of the data sets has the largest Median?
c) Which of the data sets has the largest Q1?
d) Which of the data sets has the smallest Q2?
e) Which of the data sets has the smallest Minimum?
f) Which of the data sets has the largest Maximum?
g) Which of the data sets has the smallest IQR?
12) Assume the Box and Whisker Plot and Dot Plot are using the same data. What happened to the lower whisker?