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Understanding Mean, Median, Mode, and Range: Key Statistical Concepts Explained

This article breaks down the fundamental statistical concepts of mean, median, mode, and range. The mean is the average calculated by adding numbers and dividing by their count. The median represents the middle value in an ordered list. Mode identifies the most frequently occurring number in a dataset. Finally, range measures the difference between the highest and lowest values. With practical examples, including average pricing for CD players, this guide helps clarify these essential terms for anyone interested in statistics.

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Understanding Mean, Median, Mode, and Range: Key Statistical Concepts Explained

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  1. Mean, Median, Mode, and Range

  2. Mean The mean is the average of a set of numbers. Add the numbers and divide the sum by the amount of numbers you have.

  3. 12, 15, 11, 11, 7, 13 First, find the sum of the numbers. 12 + 15 +11 + 11 + 7 + 13 = 69 Then divide by the amount of numbers. 69 / 6 = 11.5 The mean is 11.5

  4. You can remember that “mean” means to average because the “mean teacher averages your grade.” You try the next one!

  5. An electronics store sells CD players at the following prices: $350, $275, $500, $325, $100, $375, and $300. What is the mean price? Find your answer before clicking!

  6. $350 + $275 + $500 + $325 + $100 +$375 + $300 = $2225 $2225 / 7 = $317.86 The mean or average price of a CD player is $317.86.

  7. Median The number in the middle in a set of numbers. 1st -Line up the numbers least to greatest 2nd -Pick the middle number

  8. 12, 15, 11, 11, 7, 13 First, arrange the data in numerical order. 7, 11, 11, 12, 13, 15 Then find the number in the middle or the average of the two numbers in the middle. 11 + 12 = 23 23 / 2 = 11.5 The median is 11.5

  9. An electronics store sells CD players at the following prices: $350, $275, $500, $325, $100, $375, and $300. What is the median price? Find your answer before clicking!

  10. First place the prices in numerical order. $100, $275, $300, $325, $350, $375, $500 The price in the middle is the median price. The median price is $325.

  11. Mode The number that occurs most often in a group of numbers. It’s the most popular!!

  12. 12, 15, 11, 11, 7, 13 The mode is 11.

  13. More than One Mode!!??!! For example, in the following set, the numbers 5 and 7 appear twice. 2, 9, 5, 7, 8, 6, 4, 7, 5 5 and 7 are both the mode!!

  14. No Mode??!!??. 3, 8, 7, 6, 12, 11, 2, 1 All the numbers in this set occur only once therefore there is no mode in this set.

  15. $100, $275, $300, $325, $350, $375, $500 What is the mode ? Find your answer before clicking!

  16. $100, $275, $300, $325, $350, $375, $500 There is no mode!

  17. You can remember that mode means the number that occurs the most because “mode” and “most” sound alike!

  18. Range The differencebetween the highest and lowest number 40, 30, 43, 48, 26, 50, 55, 40, 34, 42, 47, and 50 Largest minus Smallest 55 – 26 = 29 The range is 29!

  19. Mean The average Median The number or average of the numbers in the middle Mode The number that occurs most

  20. Mean, Median, Mode, & Range The mean is connected to the average. The mean is connected to the average. The mean is connected to the average. We add and then divide. The median is connected to the middle. The median is connected to the middle. The median is connected to the middle. We line up and then choose wise. The mode is the number that’s the most popular. The most poplar. The most popular. The mode is the number that’s the most popular. We pick out the one used most. The range is the number from head to toe. Head to toe. Head to toe. The range is the number from head to toe. Subtract low from high.

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