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Answer :
Mean:
We are asked to find the mean of the following data set.
86, 78, 94, 94, 98
The mean is given by
[tex]mean=\frac{sum}{n}[/tex]Where n is the total number of values in the data set.
[tex]mean=\frac{sum}{n}=\frac{86+78+94+94+98}{5}=\frac{450}{5}=90[/tex]The mean of the data set is 90.
Median:
To find the median, first, arrange the values in ascending order (least to greatest).
78, 86, 94, 94, 98
The median value is the most middle value in the data set.
[tex]median=(\frac{n+1}{2})^{th}=(\frac{5+1}{2})^{th}=(\frac{6}{2})^{th}=3^{rd}\;value[/tex]The 3rd value in the data set is 94.
Therefore, the median of the data set is 94.
Mode:
The mode is the most repeated value in the data set.
86, 78, 94, 94, 98
As you can see, the value 94 is the most repeated value (two times) in the data set.
Therefore, the mode of the data set is 94.
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Rewritten by : Barada
The mean of the numbers 86, 78, 94, 94, and 98 is 90. The median is 94, and the mode is also 94.
To find the mean of the numbers 86, 78, 94, 94, and 98, you need to add all the numbers together and then divide by the total count of numbers.
- Add the numbers: 86 + 78 + 94 + 94 + 98 = 450
- Divide by the number of values: 450 / 5 = 90
So, the mean is 90.
To find the median, you need to order the numbers and find the middle one.
- Order the numbers: 78, 86, 94, 94, 98
The median value, being the third number in this ordered list, is 94( middle number)
To find the mode of the numbers, identify the number that occurs most frequently:
- In this data set, 94 appears twice while the others appear only once, so the mode is 94.
Therefore,
mean = 90
median =94
mode = 94