NAME: _________________________________
Describe each distribution (shape, center, spread):
1)
mean = 0.2
std dev =0.677
Median = 0
Q1 = -0.7
Q3 = 0.9
min = -1.8
max = 2.4
2)
mean = 1982
std dev = 25
Median = 1995
Q1 = 1985
Q3 = 2001
min = 1950
max = 2009
3)
mean = 2.9
std dev = 0.3
Median = 3.35
Q1 = 2.7
Q3 = 3.6
min = 1.6
max = 4.5
4)
mean = 7.2
std dev = 2.7
Median = 5
Q1 = 3
Q3 = 7.5
min = 0
max = 16
5) Go back to the picture/summary stats in #4. Check to see if the highest observation is an outlier.
6) Using the following summary statistics, how many outliers are there?
min
2
a.
b.
c.
d.
e.
Q1
18
Med
22
Q3
25
Max
40
None
1
2
At least 1
At least 2
7) Create a frequency histogram of the list AGEMO. This is a list of the ages in months of the students in our class.
8) Create a relative frequency histogram of the list PRES. These are the ages of death of all US presidents. Then
describe the distribution
9) Use the list HT (heights of students in our class)
a. Find the Mean, Median, Range, Q1, Q3, IQR, and Standard deviation.
b. Create a boxplot of the data
c. Suppose we add the data point 78” to this set of data. Indicate how each of the statistics in part (a) would
change: increase, decrease, or stay about the same.
d. Going back to the original set of data: suppose we add the data point 50” to this set of data. Indicate how
each of the statistics in part (a) would change: increase, decrease, or stay about the same.
10) Give a set of numbers that have a standard deviation of 0.
11) Create parallel boxplots of the lists TST1F and TST1M. These are test scores for females and males.
12) Based solely on the mean and median given, decide on the shape of the distribution, and what measure of
center and spread you would report.
(a) Mean = 100
(b) Mean = 20
(c) Mean = 934
Median = 98
Median = 41
Median = 850
13) The following are quiz scores from two Algebra 1 Classes.
Class 1: {68, 93, 53, 100, 77, 86, 91, 88, 72, 74, 66, 82} and
Class 2: {77, 91, 82, 68, 75, 72, 85, 65, 70, 79, 94, 86}
a. Find the means of both classes. Which would you rather be in?
b. Find the standard deviations of both classes. Which class was more consistent in their scores? Why?