find the mean and standard deviation of the data set.\n| |number of books read| |\n|--|--|--|--|\n|sylvester|…

Explanation:

Step1: Calculate the mean

The data set is (218, 224, 217, 217). The formula for the mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}), where (n = 4), (\sum_{i=1}^{4}x_{i}=218 + 224+217+217=876). So (\bar{x}=\frac{876}{4}=219).

Step2: Calculate the variance

The formula for the variance (s^{2}=\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}}{n - 1}). ((218 - 219)^{2}=(- 1)^{2}=1), ((224 - 219)^{2}=5^{2}=25), ((217 - 219)^{2}=(-2)^{2}=4), ((217 - 219)^{2}=(-2)^{2}=4). (\sum_{i = 1}^{4}(x_{i}-\bar{x})^{2}=1 + 25+4 + 4=34). (s^{2}=\frac{34}{3}\approx11.33).

Step3: Calculate the standard - deviation

The standard deviation (s=\sqrt{s^{2}}), so (s=\sqrt{\frac{34}{3}}\approx3.4).

Answer:

Mean: 219; Standard Deviation: 3.4