On a standardized test, Ann received a score of 85, which was exactly 2 standard deviations about the mean. If the standard deviation for the test is 4, what is the mean for this test?
I assume you meant
exactly 2 standard deviations above the mean
So, 2 std's = 8, making the mean 85-8 = 77
which fraction is between 0 and 2/4 !!!!!!!!!!!
To find the mean, we need to first understand the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a set of data. It tells us how much the individual scores deviate from the mean.
In this case, we are given that Ann's score is 2 standard deviations above the mean. We also know that the standard deviation is 4.
To find the mean, we can use the formula:
Mean = X - (Z * SD)
Where:
X is the given score (85 in this case)
Z is the number of standard deviations
SD is the standard deviation
Let's substitute the values:
Mean = 85 - (2 * 4)
Mean = 85 - 8
Mean = 77
Therefore, the mean for this test is 77.
To find the mean for this test, we can use the formula:
Mean = X - (Z * Standard Deviation)
Where:
X is the score of Ann
Z is the number of standard deviations above or below the mean
Standard Deviation is the measure of how spread out the scores are
Given that Ann's score is 85 and it is exactly 2 standard deviations above the mean, and the standard deviation is 4, we can substitute these values into the formula:
Mean = 85 - (2 * 4)
Mean = 85 - 8
Mean = 77
Therefore, the mean for this test is 77.