Statistics
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Statistics is the study of collecting, organizing, analyzing, and interpreting quantitative data. It is important across many fields including economics, business, and astronomy. This document defines and provides examples for key statistical concepts - the mean is the average and is calculated by summing all values and dividing by the total number, the median is the middle value when values are arranged from lowest to highest, and the mode is the most frequent value in the data set. Exercises are provided to calculate the mean, median, and mode for various data sets.
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Statistics
- 1. STATISTICS
- 2. Definition Statistics is the study of the collection, organization, analysis, and interpretation of data.
- 3. Importance Statistics plays a vital role in every field of human activity. Economics Business Astronomy
- 4. Mean The mean is the sum of all the values in a set, divided by the number of values. Example: 1. 2, 1, 10, 2, 5 2. 1, 2, 6, 7
- 5. Median The median is the middle number of a set of numbers arranged in numerical order. If the number of values in a set is even, then the median is the sum of the two middle values, divided by 2. Example: 1. 8, 9, 10, 10, 10, 11, 11, 11, 12 2. 5, 3, 4, 7, 8, 5
- 6. Mode The mode is the most frequent value in a set. A set can have more than one mode; if it has two, it is said to be bimodal. Example: 1. The mode of {1, 1, 2, 3, 5, 8} is ____. 2. The modes of {1, 3, 5, 7, 9, 9, 21, 25, 25, 31} are ____ and _____. Thus, the set is ____.
- 7. Seatwork Get 1 whole sheet of pad paper. Find the mean, median, and mode. 1. 15 13 18 16 14 17 12 2. 10 12 13 16 17 18 19 21 3. 7 7 7 9 10 10 4. 32 34 35 35 36 37 38 39 5. 5 12 7 14 8 9 4