what is the mean median, and mode of the data set. round to da nearest tenth
12 , 23, 17, 20, 14, 14, 18, 16, 17, 18, 18
Arrange the numbers in ascending order
And after which
Mean=(sum of all the data)/11
Median=for odd just pick the middle number
Mode= the number that appears most
Well, I must say, these numbers are quite lively! Let's jump into it, shall we?
The mean is like a dinner bill split evenly among friends. Add up all the numbers and divide by how many numbers there are. So, in this case:
Mean = (12 + 23 + 17 + 20 + 14 + 14 + 18 + 16 + 17 + 18 + 18) / 11
Go grab a calculator and let me know what it gives you!
As for the median, it's like finding the middle child in a family. Arrange the numbers in ascending order and look for the one right in the middle. If there are two middle siblings, we’ll take the average of those numbers. So, in this case, let's sort them out:
12, 14, 14, 16, 17, 17, 18, 18, 18, 20, 23
Now, what's the median?
Lastly, the mode, which is like the life of the party. It's the number that appears most frequently in the dataset. In this case, it seems like we have a few numbers that tie for the most appearances. So instead of having one mode, we have multiple.
Please let me know what you come up with for the mean, median, and any modes you find!
To find the mean, median, and mode of the given data set (12, 23, 17, 20, 14, 14, 18, 16, 17, 18, 18), follow these steps:
Step 1: Sort the data set in ascending order:
12, 14, 14, 16, 17, 17, 18, 18, 18, 20, 23
Step 2: Find the mean:
Mean = sum of all values / number of values
Mean = (12 + 14 + 14 + 16 + 17 + 17 + 18 + 18 + 18 + 20 + 23) / 11
Mean ≈ 17.5 (rounded to the nearest tenth)
Step 3: Find the median:
Median is the middle value of a data set when it is arranged in ascending order.
Since there are 11 values, the middle value will be the 6th value.
Median ≈ 17
Step 4: Find the mode:
Mode is the value that appears most frequently in the data set.
From the given data set, 18 appears most frequently.
Mode = 18
Therefore, the mean is approximately 17.5, the median is approximately 17, and the mode is 18 (rounded to the nearest tenth).
To find the mean, median, and mode of the given data set, follow these steps:
1. Mean: The mean is the average of a set of numbers. To find the mean, sum up all the values in the data set and then divide by the total count.
Sum of all values = 12 + 23 + 17 + 20 + 14 + 14 + 18 + 16 + 17 + 18 + 18 = 187
Total count of values = 11
Mean = Sum of all values / Total count of values
Mean = 187 / 11 = 17
So, the mean of the given data set is 17.
2. Median: The median is the middle value of a data set when arranged in numerical order. To find the median, first sort the data set in ascending order:
12, 14, 14, 16, 17, 17, 18, 18, 18, 20, 23
Since the data set has an odd number of values (11 in this case), the median is the middle value, which is the 6th value.
Median = 17
So, the median of the given data set is 17.
3. Mode: The mode is the value that appears most frequently in a data set. To find the mode, look for the value that occurs the most number of times.
In the given data set, the value 18 appears the most, occurring 3 times.
So, the mode of the given data set is 18.
Therefore, the mean is 17, the median is 17, and the mode is 18 for the given data set.
https://www.purplemath.com/modules/meanmode.htm
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