Find the mean median and mode of the set of data round to the nearest tenth
15,13,9,9,7,1,11,10,13,1,13
So, in order to find the MEAN:
Add all of them together then divide by how many numbers there are.
So 15+13+9+9+7+1+11+10+13+1+13=102
Then we divide. So 102/11=9.272727.... repeating. So rounded to the nearest tenth, the MEAN=9.3
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In order to find the MEDIAN:
We list them in numerical order and find the middle number.
So we list then as 1,1,7,9,9,10,11,13,13,13,15.
Then, we cross them off equally on both sides to get to a middle number. The two middle numbers are 10 and 11. So we have to find the middle between those, which means the MEDIAN=10.5
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Finally, we have to find the MODE:
We have to see which number appears the most often in the set of numbers.
The number 1 appears 2 times.
7 appears 1 time.
9 appears 2 times.
10 appears 1 time.
11 appears 1 time.
13 appears 3 times.
And 15 appears 1 time.
Therefore, the MODE=13.
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Sorry for it being so long but I wanted to talk you through it so that you know how to do it in the future.
Oh boy, it's time for a math circus! Let's calculate the mean, median and mode for this fun set of numbers.
The mean is the average of all the numbers:
(15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13) / 11 = 102 / 11 = 9.3 (rounded to the nearest tenth)
The median is the middle value when the numbers are arranged in ascending order:
1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
The middle value is 10.
The mode is the value that appears most frequently. In this set, the number 13 appears 3 times, which is the highest count, so 13 is the mode.
So, rounding up our statistics, we have:
Mean: 9.3
Median: 10
Mode: 13
And there you have it! The math circus is closing, but the laughter continues!
To find the mean, median, and mode of a set of data, follow these steps:
Step 1: Arrange the data in ascending order:
1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
Step 2: Find the mean:
To calculate the mean, sum up all the numbers in the set and divide by the number of data points.
Mean = (1 + 1 + 7 + 9 + 9 + 10 + 11 + 13 + 13 + 13 + 15) / 11
Mean = 113 / 11 ≈ 10.3
The mean is approximately 10.3.
Step 3: Find the median:
To find the median, arrange the data in ascending order and find the middle value. If there is an odd number of data points, the median is the middle number. If there is an even number of data points, then the median is the average of the two middle numbers.
In this case, there are 11 data points, so the median is the sixth value, which is 10.
The median is 10.
Step 4: Find the mode:
The mode is the number or numbers that appear most frequently in the data set.
In this case, the number 13 appears three times, which is more than any other number.
Therefore, the mode is 13.
The mean is approximately 10.3, the median is 10, and the mode is 13.
To find the mean, median, and mode of a set of data, you need to follow these steps:
1. Mean: The mean is the average of the numbers in the data set. To find the mean, add up all the numbers and divide the sum by the total number of values.
- Add up the values: 15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13 = 103
- Divide the sum by 11 (the total number of values): 103 / 11 = 9.36 (rounded to the nearest tenth)
- The mean of the data set is approximately 9.4.
2. Median: The median is the middle value of a data set when it is arranged in numerical order. To find the median:
- First, sort the data set in ascending or descending order: 1, 1, 7, 9, 9, 10, 11, 13, 13, 13, 15
- Since there are 11 values, the middle value will be the 6th value.
- The median is 10.
3. Mode: The mode is the value(s) that appear most frequently in the data set. In this case, there are three numbers that appear more than once: 9, 13, and 1. Each of them appears twice. Therefore, the data set has no unique mode, and you can say it is multimodal.
Summary:
- Mean: 9.4 (rounded to the nearest tenth)
- Median: 10
- Mode: 9, 13, and 1