Question

Given the following observations from a sample, calculate the mean, the median, and the mode 14 14 12 13 14

Answer 1

Mean = 13.4

Median = 14

Mode = 14

Explanation:

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

So mean = S/N.

There are 5 values, so N = 5.

These values are 14,14,12,13,14. So S = 14+14+12+13+14 = 67

Mean = 67/5 = 13.4

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

So 12 13 14 14 14

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, 14 appears 3 times, 12 and 13 appear once each. So the mode is 14

Answer 2

First arrange the numbers from smallest to largest:

12 , 13, 14, 14, 14

Mean is the average. Add the numbers together and divide by the quantity of numbers:

12 + 13 + 14 +14 +14 = 67

67/5 = 13.4

Mean = 13.4

Median, is the middle value, since there are 5 numbers, the mode would be the 3rd value, which is 14.

Mode is the value that appears the most. There are 3 number 14's, so the mode is 14.