Lesson 8-12 for exercise sets. &KDSWHU &KHFN<RXU3URJUHVVIIIJane made the following graphs to show the weekly profit
made by her small company. Use the graphs to answer the questions.
1.Which one of Jane’s two graphs is misleading? Why?2.Tony got the following scores on 7 of his math tests: 68, 71, 97, 70, 67, 74, 97.
When asked how well he did, he said, “Great! My statistical average was 97.”
How and why is his answer misleading?3.Discuss and Write In what ways can graphs and statistics be misleading?Statistical measures used to describe data may also be misleading.
The results of a survey about how many kinds of tree
fertilizers a group of gardeners use is shown at the right.
In that summary of the data, the mean number of kinds
of tree fertilizers per gardener is 3.25. Is this misleading?
Which statistic would give a better measure of the typical
number of kinds of tree fertilizers used?
Using the mean as a measure of the typical kind of tree
fertilizer used by this group of gardeners is misleading.
The outlier, 12, distorts the data. The mean is not representative
of the data. The mode, 2, is more representative of the data.Advertisers often present data in a way that influences how that data
is interpreted. A data display or claim can distort information to help sell
a product or service.When Advertisers Claim that:- 80% of gardeners agree. True Green
fertilizer works best! - Fruity Delight contains real
fruit juice. - The mean salary for our agency’s
employment opportunities is $85,000.
Think:
How many gardeners were asked? How
many brands of fertilizer were compared?What else does it contain? Sugar?
Preservatives? What percent is fruit juice?Are any of the salaries high enough to skew
the mean? What is the median salary?12345671500
1450
1400
1350
1300
1250
12000 12345671350
1340
1330
1320
1310
1300
1250
12000
WeekGraph A: Weekly ProfitProfit (dollars)WeekGraph B: Weekly ProfitProfit (dollars)How many kinds of tree
fertilizers do you use?
1, 1, 1, 2, 2, 2, 2, 2, 3, 5, 6, 12