Question

The table shows the amount of water used daily to water the fairways at Fairlawn Golf Course. To the nearest tenth,determine the mean absolute deviation of the data. A. 2.3 B. 7.7 C. 10 D. 12.3

Answer 1

2.3

Step-by-step explanation:

The formula for calulating mean deviation is expressed as:

`(1)/(n)\sum ^n_(i\mathop=1)|x_i-m|`

where;

m is the mean of the data set

Xi are individual values

n is the total sample space

Get the mean;

n = 7

mean = (10+12+11+15+9+8+5)/7

mean = 70/7

mean = 10

Get the mean deviation:

Mean deviation = (10-10)+(12-10)+(11-10)+(15-10)+(9-10)+(8-10)+(5-10)/7

Since the values is in modulus |xi - m| will give a positive value, hence;

Mean deviation = (0+2+1+5+1+2+5)/7

Mean deviation = 16/7

Mean deviation = 2.28

Mean deviation = 2.3 (to the nearest tenth)