The mean absolute deviation for the number of hours students practiced the violin is 6.4.
<h3>What is the mean absolute deviation?</h3>
The average absolute deviation of the collected data set is the average of absolute deviations from a center point of the data set.
Given
Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours.
The given data set is;
45, 38, 52, 58, 42
Mean Deviation = Σ|x − μ|/N.
μ = mean, and N = total number of values
|x − μ| = |45 − 47| = 2
|38− 47| = 9
|52− 47| = 5
|58− 47| = 11
|42− 47| = 5
The mean absolute deviation for the number of hours students practiced the violin is;
Hence, the mean absolute deviation for the number of hours students practiced the violin is 6.4.
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Answer:
<h3>The answer is option B</h3>Step-by-step explanation:
Equation of a circle is given by
( x - h)² + ( y - k)² = r²
where r is the radius and
( h , k) is the center of the circle
From the question the radius R = 1/3
the center ( h ,k ) = (4/3 , -8/3)
Substituting the values into the above equation
We have
We have the final answer as
Hope this helps you
Answer:
Step-by-step explanation:
Given
Solving (a): Point estimate of difference of mean
This is calculated as:
Solving (b): 90% confidence interval
We have:
Confidence level is:
Calculate
The z score is:
The endpoints of the confidence level is:
Split
Hence, the 90% confidence interval is:
Solving (c): 95% confidence interval
We have:
Confidence level is:
Calculate
The z score is:
The endpoints of the confidence level is:
Split
Hence, the 95% confidence interval is:
