Q2 Average Flashcards

1
Q

Types of “average”

A
  • Mean
  • Median
  • Mode
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2
Q

Why are there three types of average?

A
  • Each is a way to measure what is central
  • Measures of central tendency
  • Describe what is typical
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3
Q

Mode

A

The most frequently occurring number in the set

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4
Q

Mean

A

The sum of the values divided by the number of the values

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5
Q

Median

A

The midpoint of the numbers in order

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6
Q

How to find the median with an even number of items

A

It is the mean of the middle two numbers

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7
Q

Most rare type of average

A

Mode

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8
Q

Typical uses for mode

A
  • Most typical blood type
  • Average clothing size
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9
Q

Most common type of average

A

Mean

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10
Q

Common uses for mean

A
  • College GPA
  • Typical temperature
  • Football game attendance
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11
Q

When is the mean the best average to use?

A

When number sets lack a potential for extremes

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12
Q

When is the median the best average to use?

A

When number sets have a potential for an outlier

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13
Q

What does an outlier in a number set do?

A

It skews the mean, making it a misleading measurement

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14
Q

How can mean be used in a way that can mislead?

A

The mean can overstate what is typical when it comes to money

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15
Q

An ad saying you can save a mean of $749 is misleading. Why?

A
  • A person expecting to save that much is likely to be disappointed
  • Median would be a better average
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16
Q

When a politician promises an “average” amount . . .

A

Inspect further

17
Q

What type of average best reflects typical income?

A

Median

18
Q

For a river to average 3 feet deep then it must be . . .

A
  • Deeper than 3 feet
19
Q

You should never assume that average means . . .

A

Maximum or minimum because some will get more and some will get less

20
Q

Limitation of average

A

It hides variance

21
Q

How to explore variance of medians

A

Inspect subcategories in different aspects

22
Q

Regression to the mean

A
  • Over time, numbers gravitate toward the average
  • Numbers fall below average, then they will be above average, and then keep going up and down
23
Q

Most people misinterpret “above average”

A

Half have to be above average and half have to be below average