영어2 능률 김성곤 3과 변형문제

Lesson 3 Be a Critical Thinker

Tricks behind statistics

____ today's world, there is a lot of statistical information around us all the time.

Every time we ____ an article on the Internet or see a commercial on TV, we are likely to come into contact with numbers and figures.

Generally, these numbers help ____ make better decisions in our daily lives.

For example, when we choose which ____ to see, we can check the ratings and see the reviews of thousands of viewers.

Similarly, when people see statistics that show fastening a seat belt greatly increases the ____ of surviving a car accident, they may choose to wear one themselves.

These are just a few examples of how statistical information plays ____ important role in our lives.

However, is it safe to believe statistics exactly ____ way they are presented to us?

Unfortunately, statistics can be ____ in many ways.

Let's learn about some common ____ behind statistics.



Samples: How Many and Who?

On the Internet, Minjeong sees an advertisement that reads, “100% of users report brighter and softer skin with Blossom Company's liquid ____ soap.”

It claims that these results are from an independent laboratory and ____ guaranteed by a public agency.

Minjeong does not question the statistics and buys some bottles, despite the ____ price.

However, although Minjeong uses the soap for a few months, she does not experience ____ noticeable changes.

Did Minjeong just happen ____ buy a defective product?

____ was the advertisement completely fake?

When Minjeong read “100% of users,” she should have asked ____ “Where did the company get this figure?”

If Minjeong had read the tiny letters at the bottom of the ad, she would have found that the sample ____ only five people.

As in this case, when a sample is not large enough ____ show a wide range of results, it can be misleading.

By using small samples, companies can come up with any results they want and use them ____ their own purposes.

People can also get the wrong idea from statistics when a sample ____ not random.

For ____ a restaurant may put survey cards on the tables, hoping to know what most customers think about its food, service, or atmosphere.

However, few cards will be filled out by normal customers, because they don't have ____ reason to do so.

Only ____ with strongly positive or negative reactions are likely to respond to the survey.

This method ____ choosing a sample is called “voluntary response sampling.”

Such samples are biased in ____ of strong opinions and underrepresent the moderate ones.

Therefore, when you see a statistic, remember that the sample is ____ as important as the statistic itself.

How ____ people were in the sample? Who were they?

If you don't know, be careful not ____ leap to conclusions.



The Trap of Averages

ABC ____ wants to hire some employees.

In order to look like a well-paying company and to recruit ____ candidates,

the company decides to distribute a ____ release that says the average yearly salary of its employees is $57,000, which is quite high.

However, the fact is that more than half of its employees earn no more than $30,000 or less a ____

____ the most common salary for employees is only $20,000.

Did the company spread false information? How is this ____

It's ____ the company used the trap of averages.

Averages can show different ____ depending on which type is chosen.

To understand the meaning ____ different types of averages, let's look at the illustration on the next page.

Most often, the term “average” indicates the ____

It is calculated by adding all the ____ in a group and dividing the result by the number of group members.

However, the mean is not the only kind of ____

There ____ two more kinds: the “median” and the “mode.”

The median is the number that is exactly ____ the middle of all the other figures.

In this case it is $30,000, because 12 employees are making more than $30,000 and 12 are ____ less.

The mode is the ____ that appears most frequently—$20,000 in this case.

As you can see in the illustration, there are only a handful of people that are earning an average salary of ____ or higher.

However, because the company wanted ____ be perceived as a well-paying one, it used the mean, which results in a deceptively high average salary.

An average is convincing because ____ is so simple.

To avoid being tricked, however, you have to ____ what sort of average is being reported.

____ also need to find out the distribution of the values in order to get a more accurate idea of the real data.


Same Data, Different Graphs

In mass media, graphs are often used because they ____ data more efficiently than tables of raw data do.

However, graphs can be misleading, too. Let's look at ____ two graphs below.

The two graphs shown here illustrate ____ data can be misrepresented.

In the first graph, the vertical axis goes ____ the way up to 100 and all the way down to 0, which makes the decrease in the percentage look modest.

In the other graph, only 10 ____ points are shown, from 65 to 75, which makes the change seem much more extreme.

Notable is the fact that the two graphs are based on exactly ____ same data.

So, if you want to point out the seriousness of skipping breakfast, ____ can use the second graph.

In fact, you ____ make nearly any graph more convincing in favor of your argument by cutting off the graph at a certain point.

Hence, whenever you see a graph, you should check the units on the vertical and horizontal axes to see what the highest and lowest values ____

Don't simply assume the ____ impact is the same as the real story.

Check whether the graph is presented in a specific way ____ emphasize a point.


Look with a Critical Eye

When people state opinions in articles, speeches, ____ or advertisements, they often give some statistics to support or reinforce their point.

If these statistics are found through proper research ____ then they are objective facts.

However, many statistics that you see and hear could just be numbers that are meant to convince you ____ a certain view.

Therefore, the next time you come ____ some statistics, don't blindly accept any data that is presented.

Look at the statistics in detail with a critical eye, ____ then judge whether or not they are convincing.


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