23, 26, 11, 18, 09, 21, 23, 30, 22, 11, 15, 20, 23, 10, 30Using the information above draw a frequency table. Calculate the mean, mode and median.
Question
23, 26, 11, 18, 09, 21, 23, 30, 22, 11, 15, 20, 23, 10, 30
Using the information above draw a frequency table. Calculate the mean, mode and median.
Solution
First, let's organize the data in ascending order:
09, 10, 11, 11, 15, 18, 20, 21, 22, 23, 23, 23, 26, 30, 30
Now, let's create a frequency table:
Number | Frequency |
---|---|
09 | 1 |
10 | 1 |
11 | 2 |
15 | 1 |
18 | 1 |
20 | 1 |
21 | 1 |
22 | 1 |
23 | 3 |
26 | 1 |
30 | 2 |
Now, let's calculate the mean, mode, and median:
Mean: The mean is the average of all numbers. You calculate it by adding all numbers together and then dividing by the count of numbers.
(9+10+11+11+15+18+20+21+22+23+23+23+26+30+30) / 15 = 19.6
Mode: The mode is the number that appears most frequently. In this case, the mode is 23 as it appears 3 times.
Median: The median is the middle number when the numbers are arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.
Since we have 15 numbers, the median is the 8th number, which is 20.
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