Comparison of Mean and Standard Deviation

A researcher is studying the daily water intake of participants in a health program. The data collected over four weeks is summarized as follows:

Week 1: 2.2, 1.8, 2.0, 2.5, 2.1 liters

Week 2: 2.0, 2.3, 2.1, 2.4, 1.9 liters

Week 3: 1.7, 2.5, 2.0, 1.9, 2.4 liters

Week 4: 2.2, 1.8, 2.4, 2.3, 2.0 liters

Using this data, the researcher calculated the mean and standard deviation of the participants' water intake for the entire study. Determine the correct relationship between the mean water intake and the corresponding standard deviation.

Mean water intake (calculated): $M = rac{(2.2 + 1.8 + 2.0 + 2.5 + 2.1 + 2.0 + 2.3 + 2.1 + 2.4 + 1.9 + 1.7 + 2.5 + 2.0 + 1.9 + 2.4 + 2.2 + 1.8 + 2.4 + 2.3 + 2.0)}{20}$

Standard deviation (calculated): $SD = ext{sqrt}rac{ ext{sum of squares of deviations from mean}}{n-1}$