The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
<h3>How to determine the standard deviation of the data set?</h3>
The dataset is given as:
Heart Rate Frequency
60 1
65 3
70 4
75 12
80 8
85 15
90 9
95 5
100 3
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 + 80 * 8 + 85 * 15 + 90 * 9 + 95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)
Evaluate
Mean = 82.25
The standard deviation is

So, we have:
SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 + 15 * (85 - 82.25)^2 + 9 * (90 - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]
This gives
SD = √85.9533898305
Evaluate
SD = 9.27
Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
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Answer:
Step-by-step explanation:
Alright, lets get started.
The surface area of the figure given is : The area of all shapes together
The figure has 2 similar triangles and 3 similar rectangles.
The area of 1 triangle =

The area of 1 triangle = 
So, the area of both triangles = 
The area of 1 rectangle = 
The of 1 rectangle = 
So, the area of all 3 rectangles = 
So, total area of figure = 
hence the surface area is 536.6 square centimeters : Answer
Hope it will help :)
Answer:
Yes. They are proportional.
Step-by-step explanation:


The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.
True
√105
if u see its factor are only 3,5,7 so it cant be simplify
answer should be √105
B