Pre-Algebra 4-5 Displaying Data Find the M, M, M, R 9, 6, 117, 5, 7, 6, 8, 8, 7, 9 Mean: Median:...
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Transcript of Pre-Algebra 4-5 Displaying Data Find the M, M, M, R 9, 6, 117, 5, 7, 6, 8, 8, 7, 9 Mean: Median:...
Pre-Algebra
4-5 Displaying Data
Find the M, M, M, R
9, 6, 117, 5, 7, 6, 8, 8, 7, 9
Mean:
Median:
Mode:
Range:
18.2
7.5
6,7,8,9
112
Pre-Algebra
4-5 Displaying Data
Hours of television
Frequency
0 2
1 3
2 1
3 3
4 0
5 1
Pre-Algebra
4-5 Displaying Data
•A histogram is a type of bar graph. The bars of a histogram represent intervals that the data is grouped. (the bars touch)
Pre-Algebra
4-5 Displaying Data
Money ($) Tally Frequency
0 – 0.99 4
1.00 – 1.99 3
2.00 – 2.99 2
3.00 – 3.99 3
Pre-Algebra
4-5 Displaying Data
Displaying Data in a Line Graph
Make a line graph of the given data. Use the graph to estimate Mr. Y’s salary in 1992.
69,0002000
58,0001995
49,0001990
42,0001985
Salary ($)Year
Pre-Algebra
4-5 Displaying Data
Mr. Y’s 1992 salary was about
Year
Sala
ry
69,0002000
58,0001995
49,0001990
42,0001985
Salary ($)Year
Pre-Algebra
4-5 Displaying Data
What quarter was the percent of all positive plays
Pre-Algebra
4-5 Displaying Data
Pre-Algebra
4-5 Displaying Data
Time Spent at Day Care
Tally Frequency
0:00 to 0:30
0:31 to 1:00
1:01 to 1:30
1:31 to 2:00
2:01 to 2:30
2:31 to 3:00
2:00 1:40 3:00 0:30 1:00 1:30 2:30
0:30 2:45 1:00 2:00 1:35 1:30 3:00
Pre-Algebra
4-5 Displaying Data
Freq
uen
cy
Hours Spent at Day Care
0
1
2
3
4
5
0:00 to0:30
0:31 to1:00
1:01 to1:30
1:31 to2:00
2:01 to2:30
2:31 to3:00
Pre-Algebra
4-5 Displaying Data
Pre-Algebra
4-5 Displaying Data
For example, art is often used to make a graph more interesting, but it can distort
the relationships in the data.
Graphs and statistics are often used to persuade. Advertisers and others
may accidentally or intentionally present
information in a misleading way.
Pre-Algebra
4-5 Displaying Data
Explain why each graph is misleading.
The graph suggests that the stock will
continue to increase through 2020, but there’s no way to foresee
the future.
Pre-Algebra
4-5 Displaying Data
Explain why each graph is misleading.
Because the scale leaves out 0 to 100, the bar
heights make it appear that the sixth grade sold
about three times as many tickets as either of the
other two grades. In fact, the sixth grade sold only
about 20% more.
Pre-Algebra
4-5 Displaying Data
Explain why each graph is misleading.
The scale is so compressed that it’s
hard to see any difference among the
brands.
Pre-Algebra
4-5 Displaying Data
Explain why each graph is misleading.
0
10
20
30
40
50
60
1 2 3 4 5* 6** projected
% of Return on Investment
The graph suggests that the rate of
investment return will continue to
increase, but there are no guarantees
Pre-Algebra
4-5 Displaying Data
Explain why each graph is misleading.
140
142
144
146
148
150Preferred Juice Flavors
Grape Cherry Apple
The graph appears to indicate that
significantly more people prefer grape drink over the others when in fact there is
a small margin of difference. (0 to 140
is not graphed)
Pre-Algebra
4-5 Displaying Data
Explain why each graph is misleading.
0
20
40
60
80
100
120
Brand X Brand YBrand Z
Drink Sales This graph is too compressed to see
much difference between the
brands indicating that they are fairly
equal.
No data from 50 to 120
Pre-Algebra
4-5 Displaying Data
Explain why each statistic is misleading.
A. Sam scored 43 goals for his soccer team during the season, and Jacob scored only 2.
Although Jacob scored only 2 goals, he may have played most of his time on defense.
B. Four out of five dentists surveyed preferred UltraClean toothpaste.
This statement does not give the sample size or state what UltraClean toothpaste was compared
with.
Pre-Algebra
4-5 Displaying Data
Explain why each statistic is misleading.
C. Shopping at Save-a-Lot can save you up to $100 a month!
The words save up to $100 mean that the maximum you can save is $100, but there is no
guarantee that you will save that amount.
Pre-Algebra
4-5 Displaying Data
Explain why each statistic is misleading.
A. Four out of five breeders recommend Pet Blend dog food for a healthier coat.
This statement does not give the sample size or state what Pet Blend dog food was compared
with.
B. Fruity Squares makes the cereal 100% more fun.
You cannot measure how much fun Fruity Squares makes the cereal.
Pre-Algebra
4-5 Displaying Data
Explain why each statistic is misleading.
C. The total revenue for bathing suits sold in May at Worthman’s Florida stores is 250,000. The total revenue for bathing suits sold in May at Worthman’s North
Dakota stores is 10,000.
The states have different populations and climates.
Pre-Algebra
4-5 Displaying Data
Lesson Quiz: Part 1
1.
Explain why each graph or statistic is misleading
Pre-Algebra
4-5 Displaying Data
Lesson Quiz: Part 2
2. A budget area of a used-car lot has five cars on it, with prices of $4200, $4700, $4900,
$5200, and $900 (a wrecked one). The car ad in the local paper reads “Average priced car on
budget lot is $3980.”
Explain why each graph or statistic is misleading
Pre-Algebra
4-5 Displaying Data
Lesson Quiz: Part 1
Possible answer: The size of the trucks is larger
than the size of the cars, so it looks like there are as many trucks as cars,
although there are 6 cars and 4 trucks.
1.
Explain why each graph or statistic is misleading
Pre-Algebra
4-5 Displaying Data
Lesson Quiz: Part 2
2. A budget area of a used-car lot has five cars on it, with prices of $4200, $4700, $4900,
$5200, and $900 (a wrecked one). The car ad in the local paper reads “Average priced car on
budget lot is $3980.”
The wrecked car’s price brings the average down. Without using the price of the wrecked
car, the average price would be $4750.
Explain why each graph or statistic is misleading