Question

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Answer 1

20

Find the mean:

• (2*1 + 1*2 + 2*3 + 1*4 + 2*5)/(2 + 1 + 2 + 1 + 2) = 3

Find the variance:

• [2*(1-3)² + (2 - 3)² + 2*(3 - 3)² + (4 - 3)² + 2*(5 - 3)²]/8 = 18/8 = 9/4

21

Find the range:

• 10 - 2 = 8

Find the mean:

• (2 + 3 + 4 + 5 + 6 + 6 + 7 + 8 + 9 + 10)/10 = 6

Find the variance:

• [(2 - 6)² + (3 - 6)² + (4 - 6)² + (5 - 6)² + 2(6 - 6)² + (7 - 6)² + (8 - 6)² + (9 -6)² + (10 - 6)²]/10 = 6

The difference:

• 8- 6 = 2

22

The mean:

• (0 + x + 2 + 3x + 6 + 4x + 8)/4 = 8

Find the value of x and the data points:

• 8x + 16 = 32
• 8x = 16
• x = 2

The points are:

• 0, 2 + 2 = 4, 3*2 + 6 = 12, 4*2 + 8 = 16

The mean deviation:

• (0 - 8 + 4 - 8 + 12 - 8 + 16 - 8)/4 = 0

Note. Mean absolute deviation is different, this is the average of absolute values of mean deviations:

• (8 + 4 + 4 + 8)/4 = 6