Question

Identify and/or calculate the following for this set of numbers that reflect the number of times someone waved at you this week: data points: 2, 10, 7, 9, 10 1) [1 pt] minimum, maximum, and range 2) [2 pts] standard deviation (describe the steps and/or show your work, 1 pt) 3) [1 pt]: Do you think there is a little, some, or a lot of variability in this dataset? [1 sentence; identify the specific values you are using to back up your decision]

Answer 1

The minimum is 2, the maximum is 10, and the range is 8. The standard deviation is about 3.36, indicating moderate variability. The steps to calculate standard deviation include finding the mean, subtracting the mean from each data point and squaring the result, adding squared differences, dividing by the number of points minus one, and taking the square root.

Step-by-step explanation:

When analyzing the set of numbers 2, 10, 7, 9, 10, the minimum value is 2, and the maximum value is 10. The range is calculated by subtracting the minimum from the maximum, which is 10 - 2 = 8. To calculate the standard deviation, follow these steps:

Take the square root of the variance to get the standard deviation: √11.3 ≈ 3.36.

Regarding variability, based on the standard deviation of 3.36 and the range of 8, I would say there is a moderate amount of variability in this dataset. The standard deviation is not too high, indicating that the numbers are not very spread out from the mean, but the range shows there are both low and high values.