How to Calculate the Standard Deviation of 70, 80, 60, 50, 40, 90, and 95
Learn step-by-step how to calculate the standard deviation of the numbers 70, 80, 60, 50, 40, 90, and 95 with easy-to-follow explanations.
104 views
Standard Deviation Calculation: First, find the mean (sum of numbers divided by count). Mean = (70+80+60+50+40+90+95)/7 = 69.29. Then, compute each number’s deviation from the mean, square it, and find the average. Variance = [(70-69.29)^2 + (80-69.29)^2 + ... + (95-69.29)^2]/7. Finally, take square root of variance for standard deviation ≈ 20.94.
FAQs & Answers
- What is standard deviation and why is it important? Standard deviation measures the spread or variability of a data set around the mean, helping to understand how much the values differ from the average.
- How do you calculate the mean for a data set? The mean is calculated by adding all the numbers in the data set and then dividing by the number of values.
- What is the difference between variance and standard deviation? Variance is the average of the squared differences from the mean, while standard deviation is the square root of the variance, representing data spread in the original units.