STAB22H3 Chapter Notes - Chapter 6: Standard Deviation, Unimodality
38
STAB22H3 Full Course Notes
Verified Note
38 documents
Document Summary
Expressing the distance in standard deviations standardizes the performances. To standardize a value we subtract the mean performance in that event and divide this difference by the standard deviation. These values are called standardized values, also called z-scores. Z-scores measure the distance of each data value from the mean in standard deviations mean. Data values below the mean have negative z-scores. Z-score of 2 tells us that a data value is two standard deviations above the. By using standard deviation as a ruler to measure statistical distance from the mean, we can compare values that are measured on different variables with different scales, units, or for different individuals. To get a z-score we: shift the data by subtracting the mean, we rescale the values by dividing by their standard deviation. When we shift the data by adding/ subtracting a constant to each value, all measures of position (centre, percentiles, minimum, maximum) will increase/ decrease by the same constant.
