dataset ii: 3 5 8 7 9\ne) the median of dataset ii is: 7\nf) the iqr of dataset ii is from 4 to 8.5\ng) the…

Explanation:

Step1: Recall standard - deviation formula

The formula for the sample standard - deviation of a dataset (x_1,x_2,\cdots,x_n) is (s=\sqrt{\frac{\sum_{i = 1}^{n}(x_i-\bar{x})^2}{n - 1}}), where (\bar{x}) is the mean of the dataset and (n) is the number of data points.

Step2: Identify values

The dataset is (3,5,8,7,9), (n = 5), and (\bar{x}=6.4) (already calculated in part g).

Step3: Calculate ((x_i-\bar{x})^2) for each (x_i)

For (x_1 = 3): ((3 - 6.4)^2=(-3.4)^2 = 11.56) For (x_2 = 5): ((5 - 6.4)^2=(-1.4)^2 = 1.96) For (x_3 = 8): ((8 - 6.4)^2=(1.6)^2 = 2.56) For (x_4 = 7): ((7 - 6.4)^2=(0.6)^2 = 0.36) For (x_5 = 9): ((9 - 6.4)^2=(2.6)^2 = 6.76)

Step4: Calculate (\sum_{i = 1}^{n}(x_i-\bar{x})^2)

(\sum_{i = 1}^{5}(x_i-\bar{x})^2=11.56 + 1.96+2.56 + 0.36+6.76=23.2)

Step5: Calculate the standard - deviation

(s=\sqrt{\frac{23.2}{5 - 1}}=\sqrt{\frac{23.2}{4}}=\sqrt{5.8}\approx2.41)

Answer:

(2.41)