Question

elizabeth recorded the number of days of precipitation each of the past 10 months.
days of precipitation
Jan: 13
feb: 18
mar: 10
apr: 8
may: 7
jun: 6
jul: 16
aug: 14
sep: 8
oct: 10
what is the mean absolute deviation of the data?
a 3.4
b 110
c 34
d 1.1

Answer 1

To find the mean absolute deviation, we first need to calculate the mean of the data:

Mean = (13 + 18 + 10 + 8 + 7 + 6 + 16 + 14 + 8 + 10) / 10
Mean = 10

Next, we calculate the deviations from the mean for each data point:

|13 - 10| = 3
|18 - 10| = 8
|10 - 10| = 0
|8 - 10| = 2
|7 - 10| = 3
|6 - 10| = 4
|16 - 10| = 6
|14 - 10| = 4
|8 - 10| = 2
|10 - 10| = 0

Now, we calculate the sum of the absolute deviations:

3 + 8 + 0 + 2 + 3 + 4 + 6 + 4 + 2 + 0 = 32

Finally, we divide the sum by the number of data points:

Mean Absolute Deviation = 32 / 10 = 3.2

Therefore, the correct answer is not listed among the options provided. The correct Mean Absolute Deviation for the data is 3.2.