Download Algebra 2 Statistics Review Name

Algebra 2
Name _________________
Statistics Review
1. Use the following test scores to answer each of the following:
63
69
64
70
65
71
65
72
65
74
66
76
66
78
66
82
67
84
67
90
a. Construct a stem-and-leaf plot for these data.
b. Find the mean, median and mode for this distribution.
mean =
median =
mode =
c. Find the five-number summary for this distribution.
low =
Q1 =
median =
Q3 =
d. Find the range and interquartile range for this distribution.
range =
Inter-Quartile Range =
e. Make a box plot for these data. Be sure to check for outliers using the 1.5  IQR rule.
high =
2. Use the following ages to answer each of the following:
11
19
14
19
16
19
16
20
17
20
17
20
18
20
18
20
18
20
18
20
a. Construct a dot plot for these data.
b. Describe the shape of this distribution.
c. Without calculating the mean or the median decide which of these measures of center will be larger.
d. Calculate the mean and median to verify your answer for C.
e.
The standard deviation of these data is 2.3. How many of these numbers are within one standard deviation of
the mean? How many are within two standard deviations of the mean?
3. Use the following heart rates to answer each of the following:
64
96
76
76
72
Σ(𝑥−𝑥̅ )2
𝑛
a. Find the mean and standard deviation showing all of your work. Standard deviation formula: 𝜎 = √
heart rate
mean
(rate – mean)2
rate - mean
Mean =
Standard Deviation =
b. Find the Z-score for a heart rate of 96.
c. Find the percentile for a heart rate of 76.
4. Identify the type of data in each situation as categorical, discrete quantitative, or continuous quantitative.
a. Number of pizzas ordered in a week
b. Favorite pizza place
c. Weight gained by eating too many pizzas
5. Here is a frequency graph that shows the monthly spending of a group of students on their cell phones:
The mode of is about _____
The median is about _____
I know this from the graph because
40
Frequency
I know this from the graph because
20
0
0
0
5
10
15
20 25 30 35
Amount spent ($)
40
45
6. Identify the type of bias in this situation. Justify your choice. Tell how to eliminate the bias in this situation.
Farmer Gass wants to find out how his neighbors would feel if he constructed a windmill on his farm. He randomly
selects a group of 20 neighbors living within 10 miles of his farm and asks them the following question: “In one year a
single windmill can provide enough electricity to power and air conditioner for a whole month. How would you feel
about the construction of 5 windmills on my property?”
Type of bias:
Why I chose that type of bias:
How I could eliminate this bias:
7. The heights of males are Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches.
a. On the following Normal curve label the mean. Also label ±1, ±2 and ±3 standard deviations from the mean.
b. What percent of male heights would be between 63 and 68 inches?
c. In a group of 500 males, how many would you expect to have heights greater than 70.5 inches?
d. A male with a height of 65.5 inches would be at what percentile?