![]() In this example, assume that you have bought a pack of 100 balloons, the pack is made up of 5 different colours, you count each colour and find that you have: The mode is interesting as it can be used for any type of data, not just numbers. The Mode is the most frequently-occurring value in a set of values. The median refers to a single number so we calculate the mean of the two middle numbers: In such cases the median is the mean of the two middle numbers:Īrranged in order (ranked) = 2, 6, 7, 13, 45, 67 When there are an even number of numbers there is no single middle number but a pair of middle numbers. Median = 13, the middle number in the ranked list. To calculate the Median of: 6, 13, 67, 45, 2įirst, arrange the numbers in order (this is also known as ranking) The Median is the middle number in a list of sorted numbers. Our average speed therefore was 1.0625 miles per minute.Ĭonvert this figure back to hours by multiplying by 60 (the number of minutes in an hour). Next divide the distance travelled by the time taken: 85 miles ÷ 80 minutes. Therefore we need to standardise our units before we can start:ġ hour 20 minutes = 60 minutes + 20 minutes = 80 minutes. The first thing to do with this problem is to convert the time into minutes – time does not work on the decimal system as there are 60 minutes in an hour and not 100. If you travel 85 miles in 1 hour and 20 minutes, what was your average speed? Using speed and time as data to find the mean: We could use terms like ‘ above average’ – to refer to a time period when sales were more than the average amount and likewise ‘below average’ when sales were less than the average amount. We could record average sales figures each month to help us predict sales for future months and years and also to compare our performance. We can also use averages to give us a clue of likely future events – if we know that we made £17.50 a day on average selling lemonade in a week then we can assume that in a month we would make: So we can say that on average we made £17.50 a day. What we can work out is the daily average: £122.50 ÷ 7 (Total money divided by 7 days). We don’t know how much money was made each day, just the total at the end of the week. In this example, assume that £122.50 is made by selling lemonade in a week. Sometimes we may know the total of our numbers but not the individual numbers that make up the total. In the first row of the table above we know that twenty-one people get paid a salary of £20,000, instead of working with £20,000 work with 20:Ģ1 x 20 = 420 then replace the ,000 to get 420,000. You can ignore the ,000's when calculating as long as you remember to add them back on at the end. ![]() The salaries, in the example above, are all multiples of £1,000 – they all end in ,000. Understanding Statistical Distributions. ![]()
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