Which data set is the most spread from its mean? 26,6, 20,36 or 28 ,15, 30, 15 or 49, 17, 4, 18 or 14, 20, 24, 30?

C has the highest range..

Therefore the answer is C. 49, 17, 4, 18

Step-by-step explanation:

We have given 4 data sets:

Notice that the mean of all the data set is 88

Now to find that which data set is the most spread from its mean we have to find the Range of each set.

We can find the range by subtracting lowest value from the highest value of the data set

Range of set A = Highest value - Lowest value

Highest value of set A is 36

Lowest value of set A is 6

Therefore,

Range of set A = 36-6

Range of set A = 30

Range of set B = Highest value - Lowest value

Highest value of set B is 30

Lowest value of set B is 15

Therefore,

Range of set B = 30-15

Range of set B = 15

Range of set C = Highest value - Lowest value

Highest value of set C is 49

Lowest value of set C is 4

Therefore,

Range of set C = 49-4

Range of set C = 45

Range of set D = Highest value - Lowest value

Highest value of set D is 30

Lowest value of set D is 14

Therefore,

Range of set D = 30-14

Range of set D = 16

Hence C has the highest range..

Therefore the answer is C. 49, 17, 4, 18