Final Answer:
The standard deviation of class 1 is 40, class 2 is 20, and class 3 is 30. Therefore, the sequence is (c) Standard deviation: 40, Standard deviation: 20, Standard deviation: 30.
Step-by-step explanation:
Standard deviation measures the dispersion or spread of data points in a dataset. The standard deviation formula involves taking the square root of the variance. Higher standard deviation values indicate greater variability among data points, while lower standard deviation values suggest less variability.
In the given options, the sequence of standard deviations for classes 1, 2, and 3 follows:
(a) 20, 30, 40
(b) 30, 40, 20
(c) 40, 20, 30
(d) 30, 20, 40
To determine the correct sequence, consider the standard deviation values in ascending order. The sequence that aligns with an increasing order of standard deviations from the lowest to the highest is (c) Standard deviation: 40, Standard deviation: 20, Standard deviation: 30.
Therefore, based on the given options, the correct sequence of standard deviations for class 1, class 2, and class 3 is (c) 40, 20, 30, indicating that class 1 has the highest standard deviation (40), followed by class 2 with the lowest standard deviation (20), and class 3 with a standard deviation of 30.