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Mean, Median, Mode, and Range
Objective: Find and interpret mean, median, mode, and range of a set of data.
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Median: Median is the middle number of an ordered data set.
When there are an odd amount of numbers, you cross out the numbers (outside – in ) until you reach the middle number which will be the median. When there are an even amount of numbers, you must find the mean of the two middle numbers.
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You MUST rewrite the numbers from least to greatest.
This is mandatory, if you want your answer to be correct! Example 1:Find the Median of the data set 8, 4, 10, 12, 3. 3, 4, 8, 10, 12 = median: 8 Ex. 2: Find the median of the data set. 11, 12, 6, 2, 4, 8. 2, 4, 6, 8, 11, 12 = 6+8 = 14 ÷ 2 = median = 7
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Example: Find the range of the data set: 40, 33, 35, 36, 27, 50, 38.
Range: The range of a set of data is the difference between the greatest and the least values of the set. (The difference between the biggest number and the smallest number in the group. ) Example: Find the range of the data set: 40, 33, 35, 36, 27, 50, 38. 50 – 27__ 23 range = 23 Your Example: Find the Range of the set of data: 64, 70, 56, 58, 60, 70.
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Example: Data set: 4, 3, 5, 1, 2 First Add: 4 + 3 + 5 + 1 + 2 = 15
Mean (or Average)= is the sum of the data divided by the number of pieces of data. Example: Data set: 4, 3, 5, 1, 2 To find the mean: First Add: = 15 Then divide: 15 ÷ 5 = 3 Your Example: Find the mean of a set of data. Number of songs in your i-pad: 145, 87, 150, 122, 96.
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Mode: is the number or numbers that occur (repeat) the most
Mode: is the number or numbers that occur (repeat) the most. If no number repeats, then there is no mode. Example 1: Find the mode of the set of data: 18, 20, 18, 22, 11, 19, 18. 18 appears the most, so the mode is 18. Example 2: Find the mode of the data set. 12, 23, 28, 28, 32, 46, 46. Both 28 and 46 appear the most equally so the modes are 28 and 46. Example 3: Find the mode of a set of data: 1, 3, 6, 8, 11, 13. Because no number repeats, there is NO MODE.
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Homework: Find the Mean, Median, Mode, and Range of the set of data
Homework: Find the Mean, Median, Mode, and Range of the set of data. (You will have 4 answers for each exercise.) 1. Math test scores: 97, 85, 92, Height of trees (in ft): 23, 27, 24, 26, 26, 24, 26, Age of students: 12, 13, 12, Ski days remaining: 23, 34, 29, 36, 18, 23, Monica's points per game: 5, 5, 8, 10, 6, 6, 8, 5, 5, 7.
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