Question

Charlotte recorded the number of minutes she spent exercising in the past ten days:8,12,5,2,7,1,14,3,4,6 Find the median of the data.

Answer 1

5.5

Explanation:

The median is the middle number in a sorted list of numbers.

Therefore, the first step to solving this problem is sorting this list of numbers from least to greatest:

1, 2, 3, 4, 5, 6, 7, 8, 12, 14

To find the middle number, start by crossing out a number from each side. In this case, the first two numbers to cross out are 1 and 14. 1 is the smallest number in the list and 14 is the greatest. Our list should then look like this:

2, 3, 4, 5, 6, 7, 8, 12

Now, cross out the next smallest and largest numbers of the list (2, 12):

3, 4, 5, 6, 7, 8

The next (3, 8):

4, 5, 6, 7

The next (4, 7):

5, 6

Now we are left with two numbers. When this happens, to figure out the middle number, we have to find the average of these last two remaining digits. The average can be found by adding these two digits and dividing that by the total number of digits you used to add.

In this case, we have 2 numbers left: 5 and 6

1. Add 5 and 6: 5+6=11

2. We used 2 numbers for the addition which means we have to divide 11 by 2: 11/2

= 5.5

Answer 2

The median is 6.

If you need the mean, mode, range, minimum, maximum, count n, or sum they are

Mean- 6.6666666666667

Mode- 1,3,4,5,6,7,8,12,14

Min- 1

Max- 14

Count n- 9

Sum- 60