5_Ch_1_Data_Analysis

# 5_Ch_1_Data_Analysis - DATA ANALYSIS Example 2 Suppose a...

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DATA ANALYSIS Example 2. Suppose a student has the following scores on tests: 65, 86, 79, and 92. What are the mean, median, and standard deviation for these scores? 1 2 1 n i n i x x x x Mean Average x n n = + + ⋅⋅⋅ + = = = = 65 86 79 92 + + + 80.5 4 x = = Median : (1) order numbers from smallest to largest. (2) if odd number of results, median is middle number. (3) If even number of results, median is average of two middle numbers. 79 86 82.5 2 Median + = = 65 79 86 92 + + +

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( 29 1 The larger terms like: the bigger the standard deviation (or error). x x - Standard deviation is a quantitative measure of how spread out the results are. For example, if all the results are the same the standard deviation is 0. If all the results are very different the standard deviation is large. Problem: errors can’t cancel, but are accumulative: ( 29 2 1 So is used. x x - ( 29 0.5 2 1 Standard deviation 1 n i i x x s n = - = = - ( 29 ( 29 ( 29 ( 29
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5_Ch_1_Data_Analysis - DATA ANALYSIS Example 2 Suppose a...

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