Mean, Median, and Mode Course 2 1-10.

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Presentation transcript:

Mean, Median, and Mode Course 2 1-10

Mean aka Average The mean of a data set is the sum of the data items divided by the number of data items 𝑠𝑢𝑚 𝑜𝑓 𝑑𝑎𝑡𝑎 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑑𝑎𝑡𝑎 𝑖𝑡𝑒𝑚𝑠

Example of Mean Find mean of 74, 42, 62 ,18, 54 Add up all of the data items 74+42+62+18+54 = 255 How many items are there? 5 74+42+62+18+54 5 = 255 5 = 51

Outliers An outlier is a data item that is much higher or lower than the other data items. An outlier can greatly affect the mean by raising it or lowering it

Example of Outlier Find outlier of 5 10 12 13 8 9 26 11 5 6 5 10 12 13 8 9 26 11 5 6 How does it affect the mean?

Outlier answer 5 10 12 13 8 9 26 11 5 6 Outlier is 26 because it is much higher than the other values It raises the mean because it is much higher than the other values

Median Median is the middle value of a data set when they are arranged in numerical order. The median for an even number of data items is the mean of the 2 middle terms.

Find the median of… 1 5 2 10 3 4

Median answer Put the data from the table in order numerically 0 1 1 1 2 2 2 2 2 2 3 3 3 4 5 5 5 5 5 10 | Middle How many data items did you begin with? 20 How many did you write down? (They had better be the same) So where is the middle? -> Between the 10th and 11th numbers Between 2 & 3. Take the mean of 2 & 3 2+3 2 = 5 2 =2.5

Mode Mode is the item(s) that occurs most frequently. Can have 1 mode, or multiple modes Can have no mode if all data items appear the same number of times

Find the mode of… Rose rose pansy peony daisy orchid

Mode Answer Make a table with tick marks to count the number of occurrences Rose Pansy Peony Daisy Orchid ||| || | ||| | Since Rose and Daisy both appeared the most (3 times) there are 2 modes Rose and Daisy