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  1. To find the Median, place the numbers in value order and find the middle. Example: find the Median of 12, 3 and 5. Put them in order: 3, 5, 12. The middle is 5, so the median is 5. Example: 3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29. When we put those numbers in order we have: 3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56.

    • Mode

      Example: {4, 7, 11, 16, 20, 22, 25, 26, 33} Each value...

    • Mean

      It is easy to calculate: add up all the numbers, then divide...

    • Central Measures

      When there are two modes it is called "bimodal", when there...

    • Median

      To find the Median, place the numbers in value order and...

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  2. obtain the following formula for the mean (¯x). x¯ = x n Example Find the mean of: 6,8,11,5,2,9,7,8 x = x n = 6+8+11+5+2+9+7+8 8 = 56 8 =7 Median The median value of a set of data is the middle value of the ordered data. That is, the data must be put in numerical order first. Worked examples Find the median of the following: a) 11,4,9,7,10,5,6

  3. A median is a measure of central tendency which divides data into \(2\) parts, separating the upper and lower half of the data by a value which is called the median value. Before calculating a median, we need to arrange all the values in an ascending order.

  4. To find the median of a set of numbers, arrange the numbers in order and then find the middle number. Examples. 1. When there is a middle number : 1, 3, 6, 9, 12. 6 is the median, since it is the number in the middle. 2. When there is no single middle number : 8, 7, 5, 4, 2, 1.

  5. Learning Objectives: Calculate various measures of central tendency—mode, median, and mean. Select the appropriate measure of central tendency for data of a given measurement scale and distribution shape. Know the special characteristics of the mean that make it useful for further statistical calculations. What Is Central tendency?

  6. Generally, when there are \(n\) numbers, the median will be the \(\frac{(n + 1)} {2} th\) number. For example, if there are \(3\) numbers, the median will be the \((3+1)\div{2}={2}^{nd}\) number.

  7. The median of a set of data is the middlemost number or centre value in the set. The median is also the number that is halfway into the set. To find the median, the data should be arranged first in order of least to greatest or greatest to the least value.

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