Respuesta :
1st we need to rearrange the data into numerical order:
65, 79, 80, 85, 86, 87, 91, 92, 92
Median is the middle number
that is 86
Mean add them all up and divide by 9
Mean is 84.11
65, 79, 80, 85, 86, 87, 91, 92, 92
Median is the middle number
that is 86
Mean add them all up and divide by 9
Mean is 84.11
The value of the mean will be 87.3. Then the standard deviation data set will be 8.76.
What is a median?
The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given below.
98, 87, 92, 79, 65, 91, 80, 92, 85, 86.
Then the number of the data will be
n = 10
The mean of the data set will be
μ = (98 + 87 + 92 + 97 + 65 + 91 + 80 + 92 + 85 + 86) / 10
μ = 873 / 10
μ = 87.3
Then the standard deviation will be
[tex]\rm \sigma = \sqrt{ \dfrac{\Sigma (x_i - \mu)^2}{n}}\\\rm \sigma = \sqrt{ \dfrac{(98 - 87.3)^2 + (87 - 87.3)^2 + (92 - 87.3)^2 + .... + (86 - 87.3)^2}{10}}[/tex]
Then simplify the expression, then the value of the standard deviation will be
σ = √(766.5 / 10)
σ = √76.65
σ = 8.76
Thus, the standard deviation data set will be 8.76.
More about the median link is given below.
https://brainly.com/question/300591
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