Download Chapter 2 Review Statistics

Chapter 2 Review
Statistics
1.) Provide a rough sketch of Bimodal, Normal, Skewed Left, Skewed Right, and
Uniform shapes
A.
B.
Bimodal
C.
Normal
D.
Skewed Left
E.
Uniform
Skewed Right
2.) Identify the type of distribution (Bimodal, Normal, Skewed Left, Skewed
Right, or Uniform) that best fits each description below:
a.) Day of the week that 1000 people were born on. __________________
b.) Heights of people in a room where there are 50 adult men and 50 adult
women.
__________________
c.) Heights of people in a room that has 50 adult women. ________________
d.) Plot of scores on a typical national standardized test. _________________
e.) Plot of home values in a typical city.
__________________
f.) Ages of people in a nursing home (assisted care facility). _____________
3.) What are two measures for central tendency?
_________ and _________
4.) What are two measures for spread?
_______________ and __________________
5.) Complete the table below, indicating whether the type of plot is usually
represented by median, mean, or neither as central tendency and standard
deviation or quartiles as a measure of spread.
Distribution Type Central Tendency Measure
Spread Measure
Normal
____________________
____________________
Skewed Right
____________________
____________________
Skewed Left
____________________
____________________
6.) For each set of data below, determine what the values are for the median, Q1,
and Q3.
a.) 1 3 4 5 10 12 17
Median is _________
Q1 is _________
Q3 is ____________
Q1 is _________
Q3 is ____________
Q1 is _________
Q3 is ____________
Q1 is _________
Q3 is ____________
b.) 1 3 4 5 10 12
Median is _________
c.) 1 3 4 5 10
Median is _________
d.) 1 3 4 5
Median is _________
7.) The median and mean for data sets are given below. Indicate whether each
data set is most likely normal, skewed left, or skewed right.
a.) Median = 26, Mean = 29 ________________________
b.) Median = 35, Mean = 35 ________________________
c.) Median = 100, Mean = 90 _________________________
8.) The scores on a test are as follows:
73, 42, 67, 78, 99, 84, 91, 82, 86, 94
a.) Complete the stem and leaf plot of the scores:
4
b.) What is the median score? ______________
c.) What are the Q1 and Q3 values? ______________
d.) What is the IQR? _____________
e.) What is 1.5 x IQR? _____________
f.) Are there any outliers? ______ If yes, what are the outliers? _________
g.) Construct a box plot and (if it qualifies) a modified box plot for this data.
40
60
80
100
h.) What distribution shape best describes this data set? _____________
9.) What is the mean and standard deviation for the ages of myself and my four
siblings?
Ages: 55, 58, 65, 67, 72
a.) Mean is (show work):
b.) Standard deviation is (show work):
10.) Twenty married couples were interviewed and asked how many children each
couple has. The results are:
Number Number of
Children
Couples
0
5
1
4
2
7
3
3
4
1
a.) What is the mean number of children (express as a decimal) (show work):
b.) What is the standard deviation (show work):
11.) A cumulative frequency diagram is shown below for 2 paper marks given to a
class having 120 students.
a.) For which paper number overall did the students do better on?
b.) What are the values for Q1, Q3, median, approximate minimum and
maximum for each paper?
Paper Number
Q1
Median
Q3
Minimum Maximum
1
________ ________ ________ ________ ________
2
________ ________ ________ ________ ________
c.) Construct box plots for each paper below.
0
20
40
60
80
100
12.) The table below shows the mean, standard deviation, and number of test
takers for high school graduates in 2012 who took the SAT math portion
through June of 2012.
Mean Standard Deviation Number of Test Takers
Total
514
117
1,664,479
Male
532
119
778,142
Female 499
113
886,337
a.) Jennifer had a 620 on the math portion of the exam.
(1.) For the total test takers, what was Jennifer’s z-score?
(2.) For the total test takers, what percentage did Jennifer rank at?
(3.) How many of the total number of test takers scored higher than
Jennifer?
b.) Mike had a z-score of -0.50 computed based on male test takers.
(1.) What was Mike’s SAT score for math?
(2.) What percentage of males scored above Mike on the exam?
(3.) How many males scored above Mike on the exam?