Statistics Mean Mode Median and Range Range To

Range To calculate the Range we subtract the lowest number from the highest number

Mode The mode of the data is the number which appears most often your

Mean The mean is the sum of all the items divided by the total

Median The median is calculated when items are arranged in order from smallest to

Example The journey times (in minutes) of a selection of buses travelling from Inchinnan

Example 2 More journey times (in minutes) of a selection of buses travelling from

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Statistics Mean, Mode, Median and Range

Range To calculate the Range we subtract the lowest number from the highest number in your data set. Highest number – Lowest number Find the range of the following set of data: 11, 23, 14, 20, 27 Highest number = 27 Lowest number = 11 Range= Highest number – Lowest number= 27 – 11 = 16

Mode The mode of the data is the number which appears most often your list. 5, 10, 25, 25, 30, 30, 35 What is the Mode and Range of the above data set? Range= Highest number – Lowest number = 35 – 5=30 Mode= Most common number = 30

Mean The mean is the sum of all the items divided by the total number of items, we have referred to this in the past as the average. In any example you do, you should show that you added the set of numbers first, then show your division. 57, 55, 36, 56, 31, 32, 34 What is the mean of the above set of data. = =43

Median The median is calculated when items are arranged in order from smallest to largest, it is the value of the middle item, or if even number of items the halfway value of the middle 2 items. Find the median of the following sets of data. (a)29, 42, 28, 11, 18, 32 First, we must arrange the data in order from smallest to largest. 11, 18, 29, 32, 38, 42 The median is (b) 54, 31, 41, 50, 36, 46 29 – the middle number. Arrange in order The median is the middle 31, 36, 41, 46, 50, 54 numbers added together and divided by 2.

Example The journey times (in minutes) of a selection of buses travelling from Inchinnan Bus Garage to Braehead Shopping Centre are shown below: 6, 7, 8, 9, 7, 6, 10, 6, 6, 7 , 8, 6, 7, 9, 7, 25, 6 Calculate the mean (to 1 d. p), mode, median and range for the data. Rearranged 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 25 Mean= Mode= Most common = 6 Median = middle number = 7 Range= highest – lowest= 25 – 6= 19 = =8. 2

Example 2 More journey times (in minutes) of a selection of buses travelling from Inchinnan Bus Garage to Braehead Shopping Centre are shown below: 5, 7, 8, 9, 6, 6, 12, 6, 6, 8 , 8, 6, 8, 9, 7, 20, 6 Calculate the mean (to 1 d. p), mode, median and range for the data. Rearranged 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 12 + + + + Mean= 5 6 6 6 7 7 8 8 9 9 12 17 Mode= Most common = 6 Median = middle number = 7 + 7 / 2 = 14/2 = 7 Range= highest – lowest= 12 – 5= 7 117 = 16 =7. 3