Quiz Review 1-6 through 1-8
Name:___________________________________
1.) Examine the two sets of numbers below. WITHOUT doing any calculations, explain
which set of data has the largest standard deviation and explain why.
Data Set A: 34, 35, 36, 37, 38
Data Set B: 8, 10, 12, 14, 16
2.) The following data gives the number of passing touchdowns for the 9 quarterbacks
who threw the most touchdowns during the 2004 NFL season.
49, 31, 39, 30, 29, 28, 27, 27, 21
a. Find the five number summary for the above data without the use of a
calculator.
b. Find the range of the data.
c. Find the interquartile range (IQR) of the data.
d. Are there any outliers in the data set?
e. Graph a boxplot of the data from this problem.
Quiz Review 1-6 through 1-8
Name:___________________________________
3. Use the formula for standard deviation to find the standard deviation of the
following data set: 5, 9, 14, 15, 16, 20
4.
Compare the distributions above.
Quiz Review 1-6 through 1-8
Name:___________________________________
Multiple Choice Practice.
1.) Consider the following box plots of the grades in a course in math for each gender.
The boxplot below is of the birth weights (in ounces) of a sample of 160 infants born in a
local hospital.
2.) About 40 of the birth weights were less than
a.) 92 ounces
b.) 102 ounces
c.) 112 ounces
d.) 122 ounces
3.) The number of children with birth weights between 100 and 120 ounces is
approximately
a.) 40
b.) 50
c.) 80
d.) 100
Quiz Review 1-6 through 1-8
Name:___________________________________
.
4.) In which distribution(s) would you be more likely to find the mean and median the
same?
(a)
(b)
(c)
(d)
(e)
A
B
C
A and B only
A, B, and C
5.) The weights of the male and female students in a class are summarized in the
following boxplots:
Which of the following is NOT correct?
(a) About 50% of the male students have weights between 150 and 185 pounds.
(b) About 25% of female students have weights more than 130 pounds.
(c) The median weight of male students is about 162 pounds.
(d) The male students have less variability than the female students.
6.) The five-number summary for scores on a statistics exam is 11, 35, 61, 70, 79. In
all, 380 students took the test. About how many had scores between 35 and 61?
(a)
(b)
(c)
(d)
(e)
26
76
95
190
None of these
Quiz Review 1-6 through 1-8
Name:___________________________________
7.) A 1995 poll by the Program for International Policy asked respondents what
percentage of the U.S. budget they thought went to foreign aid. The mean response
was 18%, and the median was about 15%. What do these responses indicate about
the likely shape of the distribution?
(a)
(b)
(c)
(d)
(e)
The distribution is skewed to the left
The distribution is skewed to the right
The distribution is symmetric
The distribution is uniform
The distribution is bimodal
8.) A data set has the following five-number summary:
minimum= 17, first quartile = 27, median = 40, third quartile = 49, maximum = 90
Which of the sets of numbers below contain ALL outliers?
(a) 75, 80, 85
(b) 78, 80, 85, 90
(c) 83, 85, 90
(d) 2,3, 85, 90
(e) 0, 80, 84, 89
9.) To which histogram does the following boxplot correspond?
Quiz Review 1-6 through 1-8
Name:___________________________________