Question

The times (in minutes) required by a sample of 15 students to complete a class assignment are given as 45, 42, 56, 54, 40, 37, 39, 45, 49, 43, 45, 50, 49, 55, 48. the variance for these times is given as 33.84. what is the standard deviation?

1) 56
2) 37
3) 5.82
4) 19

Answer 1

The standard deviation of the times required by the students to complete the assignment is approximately 5.82 minutes, calculated by taking the square root of the given variance of 33.84.option 3 is correct.

Step-by-step explanation:

The standard deviation is a measure of the amount of variation or dispersion of a set of values. To find the standard deviation when the variance is given, you take the square root of the variance. Given the variance of 33.84, the standard deviation (σ) is the square root of 33.84, which can be calculated using a calculator.

σ = √33.84 ≈ 5.82

Therefore, the standard deviation of the times required by a sample of 15 students to complete a class assignment is approximately 5.82 minutes.