x\n1.3\n6.5\n5.5\n5.6\n18.8\n10\n25.8\nstandard deviation, s: round to two decimal places. enter an integer…

Explanation:

Step1: Calculate the mean

The data set is (x = {1.3,6.5,5.5,5.6,18.8,10,25.8}). The mean (\bar{x}=\frac{1.3 + 6.5+5.5+5.6+18.8+10+25.8}{7}=\frac{73.5}{7}=10.5).

Step2: Calculate the squared - differences

((1.3 - 10.5)^2=(-9.2)^2 = 84.64), ((6.5 - 10.5)^2=(-4)^2 = 16), ((5.5 - 10.5)^2=(-5)^2 = 25), ((5.6 - 10.5)^2=(-4.9)^2 = 24.01), ((18.8 - 10.5)^2=(8.3)^2 = 68.89), ((10 - 10.5)^2=(-0.5)^2 = 0.25), ((25.8 - 10.5)^2=(15.3)^2 = 234.09).

Step3: Calculate the variance

The variance (s^{2}=\frac{84.64 + 16+25+24.01+68.89+0.25+234.09}{7 - 1}=\frac{452.88}{6}=75.5) (rounded to one decimal place).

Step4: Calculate the standard deviation

The standard deviation (s=\sqrt{s^{2}}=\sqrt{75.48}\approx8.69) (rounded to two decimal places).

Answer:

Standard deviation, (s: 8.69) Variance, (s^{2}: 75.5)