Honors Analysis
Name: _________________________________
Unit 2 Review: Introduction to Statistics
1.) Why is the circle graph misleading?
2.) Why is the graph below misleading?
3.) Why is this misleading?
Crazy Al runs a local used car lot. Below is a list of the ages of the last 10 cars he purchased:
7, 8, 6, 8, 16, 5, 7, 7, 3, 22
4.) Create a stem plot for the data.
5.) Calculate the 5 point summary for the data.
6.) Show the calculation of the standard deviation.
7.) Use your 5 point summary to create a box plot.
Explain what the box plot shows about the data.
8.) Check each calculation above using lists on your graphing calculator.
The three-way table below shows information about student attendance at the home-coming dance:
9.) Create a comparative bar chart comparing
the relative frequency of males and females
who attend for each grade.
10.) Construct a two-way table for the variables Grade
and Attendance. Show the marginal distributions in your table.
Calculate percents for the conditional distribution of attendance
by grade.
11.) A set of 9 numbers has a mean of 5. A number
is removed and the new mean is 7. What number
was removed?
12.) Which measures of central tendency (mean,
median, mode) are affected by outliers?
13.) Bubba made a 68, 74, 76, and 82 on his first four
tests. What does he need to score on his next test
to increase his average to a 78%?
14.) Jeremy has made 62.5% of his his first 64 free
throws. How many must he make in a row to reach
68%?
15.) A set of data has a median of m and a range of r.
A) If each value is increased by 5, what is the new
median?
B) What is the new range if each value
is increased by 4?
C) If the maximum value and minimum values are
each increased by 7, what is the new range?
D) If the interquartile range is q and the max and
minimum values are each increased by 3, what
is the new IQR?
16.) If a set of five numbers has a mean of m, what is
the new mean if the maximum value is increased by 15?
17.) Find the geometric probability that a point selected
Inside the circle is also inside the equilateral triangle.
Round to the nearest tenth of a percent.
18. A) Determine, to the nearest tenth of a percent, the
probability that a dart is thrown into the bull’s eye,
assuming any point is equally likely.
B) What is the probability of hitting the ring around the
bull's eye?
C) Find the probability of a dart landing in the ring next
to the outer ring?
D) What is the probability of striking the outer ring?
E) If the game costs $1 per toss and striking the bull’s
eye wins $5, the next ring $1, the following ring $0.50,
and nothing for the outer ring, what is the expected
value for a player?
18.) An extended warranty on a $300 cell phone costs $40. If there is a 5% chance the cell phone will have to be
replaced under the warranty, what is the expected value of the warranty plan to the customer? (Assume the $40 is not
returned if the phone is replaced.)