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Chapter 9

MATH 123 Chapter Notes - Chapter 9: Standard Deviation, Central Tendency, Binomial Distribution


Department
Mathematics and Statistics
Course Code
MATH 123
Professor
Sidney Trudeau
Chapter
9

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MATH 123 – Linear Algebra and Probability
Chapter 9: Statistics
Frequency Distributions; Measures of Central Tendency
Measures of central tendency:
1. Mean;
2. Median;
3. Mode.
The mean of 𝑛 numbers can be given by:
π‘₯Μ…=βˆ‘π‘₯
𝑛
The mean of a grouped distribution can be given by:
π‘₯Μ…Μ…=βˆ‘π‘₯𝑓
𝑛
Measures of Variation
We can determine how much the numbers in a sample vary from the mean of a distribution by
calculating the variance and standard deviation.
The variance of a sample of 𝑛 numbers can be given by:
𝑠2=βˆ‘π‘₯2βˆ’π‘›π‘₯Μ…2
π‘›βˆ’1
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