Question

What is the median of the following distribution? 24, 26, 26, 28, 29, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48, 55, 56

Answer 1

Explanation:

To find the median of a distribution, we first need to arrange the data in ascending order. Then, if the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values.

Given the distribution: 24, 26, 26, 28, 29, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48

Arranging the data in ascending order: 24, 26, 26, 28, 29, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48

There are 15 data points, which is an odd number. The middle value is the 8th value, which is 35.

Therefore, the median of the given distribution is:

OE. 35

For the next one, also put the answers because they will not always give you the correct answer since they do not know what it will be :/

Answer 2

Explanation:

First of all, arrange your numbers in ascending order (your numbers are already in ascending order).

24, 26, 26, 28, 29, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48, 55, 56

Secondly, find the middle number (If there is an even amount of numbers, find the average between the two middle numbers).

24, 26, 26, 28, 29, 31, 33, 35, 37, 38, 40, 42, 43, 46, 48, 55, 56

Since 35 is the middle number, it is the median.

Then delete everything after it, including the median.

24, 26, 26, 28, 29, 31, 33

Find the median in the updated numbers

24, 26, 26, 28, 29, 31, 33

Since 28 is the median of the lower half of the numbers, 28 is the first/lower quartile!