The z score for the number 7 is -0.92.
The standard deviation is 4.32
X is the score that is 7 given.
We have to calculate the z score for doing so we need the mean also.
Mean is obtained by dividing the sum of numbers / total frequency.
Mean = Summation of numbers / total numbers
= 5, 7, 9, 11, 13, 15, 17 / 7
= 77/7
= 11
Formula of z-score, Z= x - mean /S.D.
x is the number that is 7.
S D is the standard deviation.
Z= 7-11 / 4.32
= -4/4.32
Z score = -0.92
In data, the standard deviation is a degree of the quantity of version or dispersion of a fixed of values. A low fashionable deviation suggests that the values have a tendency to be near the suggest of the set, while a high widespread deviation shows that the values are spread out over a much broader range.
Standard deviation is vital because it is able to assist users check chance. Bear in mind a funding option with a median annual return of 10% in line with the year. However, this average changed into derived from the past three-year returns of 50%, -15%, and -5%. with the aid of calculating the same old deviation and understanding your low likelihood of really averaging 10% in any single given 12 months, you're better armed to make knowledgeable decisions and apprehend underlying risk.
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