Question

the daily steps recorded over five days are 2000, 3000, 4000, 7000, 9000. the sample standard deviation is 2915.5. what type of variability does this data set have?

a. moderate variability

b. low variability

c. high variability

d. no variability

Explanation:

To determine the variability, we can analyze the range or the standard deviation. First, calculate the range: the maximum value is 9000, the minimum is 2000, so the range is \( 9000 - 2000 = 7000 \). The sample standard deviation is 2915.5. A high standard deviation (relative to the mean or the spread of data) indicates high variability. The mean of the data \( (2000 + 3000 + 4000 + 7000 + 9000)/5 = 5000 \). The standard deviation (2915.5) is a large portion of the mean (5000) and the range is also large, so the data has high variability.

Answer:

c. High variability