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Find a median and mean of the data set below 22,9,3,24,21

User Theduck
by
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2 Answers

3 votes

Answer:

Mean: 15.8

Median: 21

Step-by-step explanation:

The mean is all five numbers added together and then divided by five.

22 + 9 + 3 + 24 + 21 = 79

79 divided by 5 is 15.8.

The median is the number in the middle.

Order the numbers from least to greatest.

3, 9, 21, 22, 24.

Luckily, because there is an odd number of values, 21 is the median because it's in between 3 and 9 & 22 and 24.

User AnxGotta
by
3.4k points
0 votes

Answer:

Mean: 15.8.

Median: 21.

Explanation:

1. Finding the mean.

a) Take the sum of al values.


22+9+3+24+21=79

b) Count the amount of values.

There are a total of 5 values in this sample.

c) Divide the sum of all values by the amount of given values.


(79)/(5) =15.8

d) Conclude.

The mean of the data is 15.8.

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2. Finding the median.

The median is the value that sits exactly in the middle, when organizing the data in ascending or descending order.

a) Organize the data in ascending or descending order.

For this solution, we're going to organize in descending order.

24

22

21

9

3

b) Find the value that sits in the middle.

24

22

21 ----> Median

9

3

c) Conclude.

The median is this sample is 21.

Important. When taking the median of a sample, you don't always end up with a single value sitting in the middle of the list, this happens when you have a sample which number of values is even (2, 4, 6, 8). Whenever this happens, simply locate the 2 values that sit in the middle of the list and calculate their average, and this will be the median of that set of values.

User Gunther Piez
by
3.3k points