Question

1. find the mean of each dot - plot. then, describe the standard - deviation of each as high, medium or low and explain why.

a)
mean
standard deviation (circle one) high medium low
explanation
b)
mean
standard deviation (circle one) high medium low
explanation
c)
mean
standard deviation (circle one) high medium low
explanation

Explanation:

Step1: Recall mean and standard - deviation concepts

The mean is the center of the data distribution. Standard deviation measures the spread of data.

Step2: Analyze part a

The data is bimodal (two peaks). The mean is between the two peaks. Since the data is spread out over a wide range, the standard - deviation is high.

Step3: Analyze part b

All data points are at the same value. The mean is that value. Since there is no spread in the data, the standard - deviation is low (zero).

Step4: Analyze part c

The data points are evenly spaced. The mean is the middle value. The spread is moderate, so the standard - deviation is medium.

Answer:

a) Mean: Between the two peaks; Standard Deviation: high; Explanation: Data is spread over a wide range.
b) Mean: The single value of all data points; Standard Deviation: low; Explanation: No spread in data.
c) Mean: Middle value; Standard Deviation: medium; Explanation: Moderate spread of evenly - spaced data.