Chapter 2 Describing distributions with Numbers Flashcards

1
Q

What is the mean?

A

The average which is calculated adding all of the numbers up and dividing by the amount of numbers there are

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2
Q

The mean is considered the ____ _____ of the distribution

A

Balance point

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3
Q

What is the median (M) ?

A

The midpoint of a distribution
If even: the average of the two middle numbers
if odd: the middle number

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4
Q

When getting the median do you need to rearrange the numbers in numerical order?

A

Yes

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5
Q

Can outliers influence the mean?

A

Yes the mean is not a resistant measure of center

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6
Q

Is the median (M) a resistant measure of center?

A

Yes, it will change but less than the mean

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7
Q

which one would be more affected by an outlier?
a: mean
b: median

A

a: mean

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8
Q

If a distribution is roughly symmetric that means the mean and median (M) are _____

A

close together

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9
Q

If a distribution is completely symmetric that means the mean and median (M) are _____

A

exactly the same

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10
Q

If something is right skewed that means the mean is _____ than the median (M)

A

higher

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11
Q

If something is left skewed that means the mean is ____ than the median (M)

A

lower

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12
Q

Which measure of center is most appropriate for heavily skewed data sets?

A

The median (M) since it is not affected by outliers as much as the mean

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13
Q

What is the first quartile (Q1) in a sample?

A

The quartile that has 25% of the data at or below it (to the left of the median (M))

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14
Q

What is the second quartile (Q2) in a sample?

A

the median (M)

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15
Q

What is the third quartile (Q3) in a sample?

A

The quartile that has 75% of the data at or below it (to the right of median (M))

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16
Q

What is the interquartile range (IQR)?

A

The amount of spread in the middle of a data set

17
Q

How do you find the interquartile range (IQR)?

A

Q3-Q1=IQR

18
Q

What is the Q1 in Q1 of a data set?

A

The median (M) of that set

19
Q

What is Q3 in Q3 of a data set?

A

the median (M) of that set

20
Q

What is the 5 number summary

A

Smallest observation (Minimum), Q1, the median (M), Q3, the largest observation (Maximum)

21
Q

What does M mean?

A

Median

22
Q

What is a box plot?

A

A graphical display that shows the 5 number summary

23
Q

How do you know a box plot is skewed right?

A

If the tail is longer on the right

24
Q

How do you know a box plot is skewed left?

A

If the tail is longer on the left

25
Q

What is a modified box plot?

A

A box plot that shows suspected outliers as circles, dots, or another symbol

26
Q

What is the standard deviation?

A

it describes the spread of the data in relation to the mean

27
Q

which of these is not resistant to an outlier?
a: mean
b: median (M)
c: standard deviation (σ/s)

A

a: mean
c: standard deviation (σ/s)

28
Q

What is Xbar?

A

The symbol for sample mean

29
Q

What is n?

A

number of data points in a sample

30
Q

what is ΣXi?

A

the sum of all the data points

31
Q

what is S?

A

standard deviation

32
Q

what is s2?

A

the variance

33
Q

what is the formula for variance (S2) in a sample?

A

s2=Σ(Xi-X̅)2
————–
n-1

34
Q

how do you find the standard deviation (σ/s) in a sample?

A

square root of variance

35
Q

what is σ/s?

A

standard deviation

36
Q

what does standard deviation (σ/s) measure?

A

the spread about the mean and is used when the mean is the most appropriate measure of center.