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info@snapandsolve.comMean: The mean is calculated by adding all the numbers and dividing by the count. (5 + 4 + 6 + 5 + 3 + 6 + 8 + 3) / 8 = 40 / 8 = 5.
Median: Arrange the numbers in order: 3, 3, 4, 5, 5, 6, 6, 8. The median is the average of the 4th and 5th numbers: (5 + 5) / 2 = 5.
Range: The range is the difference between the highest and lowest numbers: 8 - 3 = 5.
Interquartile Range (IQR): The IQR is the difference between the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the first half: (3 + 4) / 2 = 3.5. Q3 is the median of the second half: (6 + 6) / 2 = 6. IQR = 6 - 3.5 = 2.5.
Standard Deviation: Calculate the variance first: [(5-5)^2 + (4-5)^2 + (6-5)^2 + (5-5)^2 + (3-5)^2 + (6-5)^2 + (8-5)^2 + (3-5)^2] / 8 = [0 + 1 + 1 + 0 + 4 + 1 + 9 + 4] / 8 = 20 / 8 = 2.5. The standard deviation is the square root of the variance: √2.5 ≈ 1.58.
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