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Lecture #4 - Descriptive Statistics Part #1

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Explain the measures of central tendency. Calculate the mean, median, and mode of a data set. Calculate the range, quartiles, and interquartile range of a data set. Construct a 5-number summary of a data set.

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Range

The range is the maximum value minus the minimum value.

113333355
Maximum = 5 | Minimum = 1
Range = 5 - 1
Range = 4



Mode

The mode is the most commonly occurring value in the data set.

113333355
Unimodal | Mode = 3

222566777
Multimodal | Mode = 2, 7



Mean (Average)

The (arithmetic) mean is the sum of all values divided by the number of values in the
data set.

113333355
Average = (1 + 1 + 3 + 3 + 3 + 3 + 3 + 5 + 5) / 9
Average =
Average = 3



Means and Outliers

1 1 1 1 3 3 5 5 7 8 289 300
Mean = = 56.6

Does 56.6 describe a “typical” value in this dataset?

, Median

The median divides a data set into two equal parts.

133567899
1335 6 7899
Median = 6

1335677899
1335 67 7899
Median = (6 + 7) / 2
Median = 6.5



Normal Distribution




Relative Placement

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Uploaded on
December 31, 2024
Number of pages
5
Written in
2024/2025
Type
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Asim shrestha
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Lecture #4 - descriptive statistics part #1

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