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Find the mean,median,mode and,range of the following data set 18 12 14 12 16 24 18 12 14

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Answer:

Mean = 15.5

Median = 14

Mode = 12

Range = 12

Explanation:

The mean is the sum of all the values divided by the number of values.

So mean = S/N.

There are 9 values, so N = 9.

These values are 18,12,14,12,16, 24,18,12,14. So S = 18+12+14+12+16+24+18+12+14 = 140

Mean = 140/9 = 15.5

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For the median, the first step is to sort all the elements in a crescent way.

So 12 12 12 14 14 16 18 18 24

Then you will need to consider whether N is even or odd.

If N is even, to find the median you need to sum the values at the positions N/2 and (N/2)+1 and divide by 2.

In this case, N is odd. So the median will be the value at the position (N+1)/2, which is 14.

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The mode is the value that appears most often in a set. In this set, 12 appears 3 times, 14 and 18 appears twice and while 12 and 13 appear once each. So the mode is 12.

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The range of a set is:

Highest value - Smallest Value

In this set: range = 24-12 = 12

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