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Review on Stats Name:_______________
1) Find the mean, median, and mode of:
17, 14, 18, 15, 15, 15, 20
2) Draw a box and whiskers plot of:
42, 19, 42, 20, 44, 30, 54, 38, 41, 42, 32, 45,
30
3) Evan and Lauren each gave away pears. They made
4) Mike and Veronica each sold pears. They
the following box plots to show how many pears they
made the following box plots to show how
gave away each day. Who had the higher number of
many pears they sold each day. Who has the
pears as a median?
larger range?
Evan
Mike
Lauren
Veronica
5) Moe and Gina each auctioned sandwiches. They made the following box plots to show how many
sandwiches they auctioned each day. Who had the higher interquartile range?
Moe
Gina
Solve:
6) While using their books to study from, students found 7) Amy's Auctions has sales of $43, $56, $53,
that their scores increased by 45, 38, 41, 46, 50, 58,
$43, $47, $57, $56, $51, $54, $52, $63, and
42, 43, and 38 points from one test to the next. What is
$43 for the month of July. What is the mean
the mode of the scores?
value of the sales?
Solve:
8) The median of a set of numbers is 164. What does that 9) The mean of a set of numbers is 100. What
mean?
does that mean?
10 Find the standard deviation of this sample of data:
11) Find the standard deviation of this sample of
140,
135,
128,
144,
142,
142,
146,
127,
141,
130,
139
data:
)
58, 53, 85, 79, 93, 63, 74, 84, 66, 91, 54
12) Suppose that three is added to each data. Which
of the following increase by 3? (circle all that apply)
Mean, Mode, Median, IQR, Range, Standard deviation
14) Which is most likely to have
the standard deviation?
A. Age of 100 teenagers
B. Age of 100 professional
football players
C. Age of 100 chickens
D. Age of 100 people at the mall
on a Sunday?
1)
13) Suppose that a data point of 125 is added
to the data set of #11. Which is affected the
most? Mean, mode, median, or standard
deviation?
15) The following table displays the survey
results of 200 people:
Car
Truck
Male
.5
.2
Female
.2
.1
How many more males preferred cars than
females?
1. mean=114/7, median=15,
mode=15
2) 19
30
4
41
3
54
3)
Evan had a median of 54, which is less than
Lauren's median of 69.
4)
Mike had a range of 52, which is less than
Veronica's range of 60.
5)
Moe had an interquartile range of 51, which is
more than Gina's interquartile range of 33.
6) 38
7) 103/2
8)
50% of the data is more than 164, and 50% is less
than 164.
9) What you would expect to get on average is 100.
10) 6.62
11) 14.7
1)Find the mean, median, and mode of:
17, 14, 18, 15, 15, 15, 20
First, we sort the list:
14, 15, 15, 15, 17, 18, 20
The mean is found by summing all the elements of the list and then
dividing by the number of elements. In this case, the sum is 114 and the
number of elements is 7, so the mean is 114/7
For the median, we take the middle number in the ORDERED list. So
we'll get 15 for an answer.
For the mode, look for the number that occurs the most often.
Since 15 occurs more than all the other numbers, 15 is the mode.
2)Draw a box and whiskers plot of:
42, 19, 42, 20, 44, 30, 54, 38, 41, 42, 32, 45, 30
First, we will sort out the list:
19, 20, 30, 30, 32, 38, 41, 42, 42, 42, 44, 45, 54
The lowest number in the list is 19.
The highest number in the list is 54.
For the median, we take the middle number in the ORDERED list. So
we'll get 41 for an answer.
When there is a middle number, we eliminate it when solving in the next
step.
So we divide the list into 19, 20, 30, 30, 32, 38 and 42, 42, 42, 44, 45, 54
For the 1st quartile, we take the middle number in the ORDERED list:
19, 20, 30, 30, 32, 38 However, in this case, there are 2 middle numbers:
30 and 30. We average these to get the 1 st quartile: 30
For the 2nd quartile, we take the middle number in the ORDERED list:
42, 42, 42, 44, 45, 54 However, in this case, there are 2 middle numbers:
42 and 44. We average these to get the 2nd quartile: 43
So now we have our five numbers: 19, 30, 41, 43, 54
Next we just plot them on the number line and draw the box and whisker
plot above them:
4
19
41
30
54
3
3)Evan and Lauren each gave away pears. They made the following
box plots to show how many pears they gave away each day. Who
had the higher number of pears as a median?
Evan
Lauren
24
34
44
54
64
74
84
94 104
The median is where the line is in the middle of the picture.
So we get: Evan had a median of 54, which is less than Lauren's median
of 69.
4)Mike and Veronica each sold pears. They made the following box
plots to show how many pears they sold each day. Who has the
larger range?
Mike
Veronica
25
33
41
49 57 65 73
81
89
Mike had a range of 52 (89-37), while Veronica had a range of 60 (8525).
So we get: Mike had a range of 52, which is less than Veronica's range
of 60.
5)Moe and Gina each auctioned sandwiches. They made the
following box plots to show how many sandwiches they auctioned
each day. Who had the higher interquartile range?
Moe
Gina
22
30.4
38.8 47.1 55.5 63.9 72.2 80.6
89
The interquartile range is measured from one end of the box to the other.
Moe had an interquartile range of 51 (81-30), while Gina had an
interquartile range of 33 (76-43).
So we get: Moe had an interquartile range of 51, which is more than
Gina's interquartile range of 33.
6)While using their books to study from, students found that their
scores increased by 45, 38, 41, 46, 50, 58, 42, 43, and 38 points from
one test to the next. What is the mode of the scores?
For the mode, look for the number that occurs the most often.
Since 38 occurs more than all the other numbers, 38 is the mode.
7)Amy's Auctions has sales of $43, $56, $53, $43, $47, $57, $56, $51,
$54, $52, $63, and $43 for the month of July. What is the mean value
of the sales?
The mean is found by summing all the elements of the list and then
dividing by the number of elements. In this case, the sum is 618 and the
number of elements is 12, so the mean is 103/2
8)The median of a set of numbers is 164. What does that mean?
The median is the middle number. So this means that the number in the
middle of all the data is 164. It also means that 50% of the values are
more than 164 and 50% of all the values are less than 164.
And we end up with: 50% of the data is more than 164, and 50% is less
than 164.
9)The mean of a set of numbers is 100. What does that mean?
The mean is the average of the numbers. It's what you would expect to
get (on average) if you picked numbers randomly from the set of
numbers over and over again.
And we end up with: What you would expect to get on average is 100.