Answer:
Mean: 78.8
M.A.D(Mean Absolute Deviation): 2.3
Step-by-step explanation:
Mean: 73, 75, 76, 78, 78, 79, 79, 80, 81, 81, 82, 84 = 946/12 = 78.8
Mean Absolute Deviation (M.A.D):
78.8 - 73 = 5.8
78.8 - 75 = 3.8
78.8 - 76 = 2.8
78.8 - 78 = 0.8
78.8 - 78 = 0.8
78.8 - 79 = 0.2
78.8 - 79 = 0.2
78.8 - 80 = 1.2
78.8 - 81 = 2.2
78.8 - 81 = 2.2
78.8 - 82 = 3.2
78.8 - 84 = 5.2
5.8 + 3.8 + 2.8 + 0.8 + 0.8 + 0.2 + 0.2 + 1.2 + 2.2 + 2.2 + 3.2 + 5.2 = 28.4/12 = 2.3
~hope this helps~
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Answer:
71.57% of student heights are lower than Darnell's height
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
Darnell has a height of 161.4 centimeters. What proportion of student heights are lower than Darnell's height?
This is the pvalue of Z when X = 161.4.
has a pvalue of 0.7157
71.57% of student heights are lower than Darnell's height
Circumference of a circle is : 2.π.R (R = Radius)
Circumference = 2.π.(7) = 14.π = 14 x 3.1416 = 43.98 in ≈ 44 in
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
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