Averages and Measures of Spread - L3

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23 Terms

1
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What are the 3 types of average?

  • Mean

  • Median

  • Mode

2
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How do you calculate the mean?

Add up all of the values and divide the total by the number of subjects

3
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What is the median?

The middle observation in an ordered data set

4
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What is the mode?

The value that appears most frequently

5
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What is normal distribution?

A bell shaped curve where the mean and median are about equal

6
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What is positively skewed distribution?

The mean is greater than the median. The peak of the curve is towards the lower end of the scale

7
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What is negatively skewed distribution?

The median is greater than the mean. The peak of the curve is towards the higher end of the scale

8
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What is a percentile?

A value at or below which a specified percentage of the values in the distribution fall

9
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How do you calculate the value of a percentile?

(Percentile/100) x (number of values + 1)

10
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What percentage is a quintile worth?

20%

11
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What percentage is a decile worth?

10%

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What percentage is a tertile worth?

33.3%

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What are the 4 measures of spread?

  • Range

  • Interquartile range

  • Standard deviation

  • Variance

14
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What is the range?

The difference between the highest and lowest values of a data set

15
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What is the interquartile range?

The difference between the upper and lower quartiles

16
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What does standard deviation measure?

The average deviation of the data from the mean

17
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What is variance?

Standard deviation squared

18
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What are box plots?

Graphs of median, interquartile range, and outliers

19
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How do you calculate the lower fence of a box plot?

Lower quartile - (1.5 x interquartile range)

20
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How do you calculate the upper fence of a box plot?

Upper quartile + (1.5 x interquartile range)

21
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Are box plots suitable for ordinal data?

Yes but only if the data set has high enough resolution for a median to be calculated properly

22
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What is the residual?

The difference between a particular observation and the mean of the whole data set

(y - y bar)

23
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How do you calculate standard deviation?

Square root of [(sum of residuals)2 / (n - 1)]