Question

Find the standard deviation for the given sample data: 0.151, 0.303, 0.195, 0.122, 0.549, 0.642, 0.497.

Answer 1

To find the standard deviation for the given sample data: 0.151, 0.303, 0.195, 0.122, 0.549, 0.642, 0.497.

Step-by-step explanation:

To find the standard deviation for the given sample data:

1. Find the mean of the data by adding all the values and dividing by the number of values. In this case, the mean is (0.151 + 0.303 + 0.195 + 0.122 + 0.549 + 0.642 + 0.497) / 7 = 0.375.
2. Find the squared difference between each value and the mean. For example, for the first value (0.151), the squared difference is (0.151 - 0.375)^2 = 0.1296.
3. Find the average of the squared differences by adding them up and dividing by the number of values. In this case, the average is (0.1296 + 0.0108 + 0.1516 + 0.3836 + 0.5088 + 0.0676 + 0.0054) / 7 = 0.1311.
4. Take the square root of the average to find the standard deviation. In this case, the standard deviation is √0.1311 = 0.362, rounded to three decimal places.