Question

What is the median of the following string of values? 55,18,58,49,8,77,62,26,7,91a. 52b. 55c. 49d. 58

Answer 1

a. 52

Step-by-step explanation

The median of a data set is the value that separates the data set into two sets with an equal amount of values.

To find the median, we have to write the set ordering the values from least to greatest,

`7,8,18,26,49,55,58,62,77,91`

Note that there are 10 values, so the median is not one value in the set - if it were, we would not have two sets with the same amount of data. In this case, the median is the mean between the two values in the middle: 49 and 55,

`median=(49+55)/(2)=(104)/(2)=52`

The value 52 divides the data set into two sets with 5 values: {7, 8, 18, 26, 49} and {55, 58, 62, 77, 91}

Hence, the median of this data set is 52.