Answer to Question #227165 in Statistics and Probability for jaica

Question

Activity 2.1: Review on Finding for the Mean and Variance of the

Population.

Instruction: Do what is being asked.

1. Complete the table by supplying the population mean and population

variance. Round off your answers to hundredths place.

2. What formulas do you use to find the mean and variance of the above given

population

Population Population Mean Population

Variance

1) 1, 2, 3, 4, 5

2) 6, 10, 9, 12, 4, 5

3) 12, 2, 5, 7, 11, 8, 4

4) 14, 10, 15, 14, 17, 19, 20

5) 20, 22, 24, 18, 14, 25, 26, 28

Answer 1

Solution:

2: Formulae used are: Mean $=\dfrac{\Sigma x_i}{n}$ , Variance $=\dfrac{\Sigma (x_i-\bar x)^2}{n}$

1:

1) 1, 2, 3, 4, 5

n = 5

Mean $=\dfrac{1+2+3+4+5}{5}=3$

Variance $=\dfrac{10}{5}=2$

2) 6, 10, 9, 12, 4, 5

n = 6

Mean $=7.6666667$

Variance $=\dfrac{49.333333}{6}=8.22$

3) 12, 2, 5, 7, 11, 8, 4

n = 7

Mean $=7$

Variance $=\dfrac{80}{7}=11.43$

4) 14, 10, 15, 14, 17, 19, 20

n = 7

Mean $=15.571429$

Variance $=\dfrac{69.714286}{7}=9.96$

5) 20, 22, 24, 18, 14, 25, 26, 28

n = 8

Mean $=22.125$

Variance $=\dfrac{148.875}{8}=18.61$