WorksheetsDescriptive Statistics Review
Total questions: 20
Worksheet time: 20mins
The mean of the distribution is:
Same as the median
Less than the median
Greater than the median
Cannot be compared to the median
Based on the shape of this distribution, what numerical measures would best describe it?
The median
The mean
The standard deviation
The interquartile range
Which of the following choices give two measures that are both resistant to outliers?
The median
The IQR
The mean
The standard deviation
Without doing any calculations, which of the distributions shown (A, B, or C) has the largest standard deviation?
A
B
C
In 2015, the mean height of U.S. males aged 20 years and older was 69.1 inches with a standard deviation of 2.25 inches. Dr. taller takes a random sample of college males and finds a mean of 71.3 inches and a standard deviation of 2.5 inches. Match the symbol with what it represents.
μ
69.1 inches
σ
2.25 inches
x-bar
71.3 inches
s
2.5 inches
The five-number summary for the weights (in grams) of 1200 tomatoes grown in a certain greenhouse is min = 90, Q1 = 113.5, median = 140, Q3 = 161, and max = 236. About how many tomatoes weighed at most 113.5grams?
300
600
900
1200
In a class of 100 students, the grades on a statistics test are summarized in the following frequency table.
Find the Median
90 ≤ x ≤ 100
80 ≤ x < 90
70 ≤ x < 80
60 ≤ x < 70
A tennis player measures her service speed (in mph) for each of six serves. Here are her results:
82 78 80 72
Calculate the mean (to the whole number):
(a)
A tennis player measures her service speed (in mph) for each of six serves. Here are her results:
82 78 80 72
Calculate the median (to the whole number):
(a)
One of the important factors in determining population growth rates is the birth rate per 1000 individuals in a population. Below are the birth rates per 1000 individuals for all 54 African nations from a Population Reference Bureau report.
23, 24, 25, 25, 25, 26, 28, 29, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 36, 36, 37 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 43, 43, 43, 43, 44, 45, 45, 46, 46
Find the five number summary
Min: 24
Q1: 30
Med: 34
Q3: 41
Max: 45
Min: 23
Q1: 30
Med: 34
Q3: 42
Max: 45
Min: 23
Q1: 32
Med: 36
Q3: 41
Max: 46
Min: 23
Q1: 32
Med: 38
Q3: 41
Max: 46
The overall shape of the distribution is:
Roughly Symmetrical
Skewed Right
Skewed Left
Uniform
The pie chart describes the distribution of favorite school subject for 200 high school students. How many students reported that “Math” is their favorite subject?
13
26
52
75
Use the following StatCrunch output for a sample of student ages to answer the following questions. How many students were included in the sample?
20
30
57
87
What is the standard deviation for age rounded to the nearest tenth?
0.9
8.4
8.4114489
0.90180198
What is the interquartile range/IQR?
18
6
12
None of the above
Which distribution has the smallest spread?
A
B
C
The spreads are approximately the same.
Which measure of central tendency is most affected by outliers or skewness of a distribution?
Median
Mode
Mean
None of the Above
Which class has greater variability?
1st period
2nd period
If a distribution is skewed, what is the appropriate measure of spread for the data?
Mean
Median
Standard Deviation
IQR
A random sample of 1500 self-employed individuals was chosen and asked about the number of hours they work per week. When the data was analyzed, it was found that the distribution is approximately bell shaped with an average of = 44 hours and a standard deviation of s = 7 hours. Based on the collected data, what percentage of self-employed individuals work less than 58 hours per week?
75%
95%
97.5%
99.7%
