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imello51
21.02.2020 •
Mathematics
In a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05. Find the mean and standard deviation for the population.
hint. Sketch the distribution and locate the two scores on your sketch.
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Ответ:
Step-by-step explanation:
We have been given that in a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05.
To find the values of mean and standard deviation, we will use z-score formula as:
Let us solve for x (sample score).
Upon substituting our given values, we will get two equations as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the mean of the given data would be approximately 36.57.
Upon substituting
in equation (1), we will get:
Therefore, the standard deviation for the given data would be approximately 11.43.
Ответ:
x = 14
Step-by-step explanation:
Given that,
2:7 is expressed in the form for 4:x.
We need to find the value of x.
2:7 must be equated to 4:x.
So,
So, the value of x is equal to 14.