Answer:
a)2.33
b) 2.83
Step-by-step explanation:
What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9
Step 1
Find the Mean
n = 6
Mean = Sum of values/Number of value
= 1 +4 + 6 +7 + 9+ 9/6
= 36/6
= 6
a) Mean Absolute Deviation
Formula
= |x - Mean|/n
= | (1 - 6)+(4 - 6) + (6 - 6)+(7 - 6)+ (9 - 6) + (9 - 6)|/6
= 5 + 2 + 0 + 1 + 3 + 3/6
= 14/6
= 2.3333333333333
Approximately = 2.33
b) Population Standard deviation
Formula
=√(x - Mean)²/n
= √ (1 - 6)²+(4 - 6)² + (6 - 6)² +(7 - 6)² + (9 - 6)² + (9 - 6)²/6
= √25+ 4+0+ 1+ 9+9/6
= √48/6
= √8
= 2.828427125
Approximately = 2.83
