Question

Find the mean , median , mode and range for the following list of values - 13, 18, 13 , 14, 13, 16, 14, 21, 13

Answer 1

Answer:

mean: 15

median: 14

mode: 13

range

Step-by-step explanation:

Find the mean, median, mode, and range for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

The mean is the usual average, so I'll add and then divide:

(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

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Note that the mean, in this case, isn't a value from the original list. This is a common result. You should not assume that your mean will be one of your original numbers.

The median is the middle value, so first I'll have to rewrite the list in numerical order:

13, 13, 13, 13, 14, 14, 16, 18, 21

There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:

13, 13, 13, 13, 14, 14, 16, 18, 21

So the median is 14.

The mode is the number that is repeated more often than any other, so 13 is the mode.

The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.

Answer 2

Answer:

Mean=\frac{sum of all numbers}{total numbers}

totalnumbers

sumofallnumbers

=\frac{13+18+13+14+13+16+14+21+13}{9}

9

13+18+13+14+13+16+14+21+13

=\frac{135}{9}

9

135

=15

Median=13, 18, 13, 14, 13, 16, 14, 21, 13=13,13,13,13,14,14,16,18,21=14

Mode=13

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