A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
2 answers:
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Answer:
a) Mean= 15, standard deviation= 5.1575
b) Mean= 15, standard deviation= 3.6469
c) See below
Step-by-step explanation:
(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.
The mean using the ten known values is
The standard deviation is
(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.
The new data set would be
17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15
The new mean for this set of values would be then
The new standard deviation is now
(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.
Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.
It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.
Answer:
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
The width is 10 cm and the length is 12 cm.
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
The is the radius of the circle, to find radius from diameter we can divide the value by 2.
Let’s find the area now.
Find the area of rectangle.
Length × Width.
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.