Bethany has a photo website where she places photos she has taken. Below is how many likes each of her current photos were given:
10, 13,15,15,17,29
About how many likes away is each photo from the average (round to the tenths place)? Hint: This is your MAD.
20
To find the mean absolute deviation (MAD), we need to find the average of the likes given to each photo.
Adding up the number of likes: 10 + 13 + 15 + 15 + 17 + 29 = 99.
To find the average, we divide the total sum by the number of numbers: 99/6 = 16.5.
Now, we find the difference between each number of likes and the average:
|10 - 16.5| = 6.5
|13 - 16.5| = 3.5
|15 - 16.5| = 1.5
|15 - 16.5| = 1.5
|17 - 16.5| = 0.5
|29 - 16.5| = 12.5
Rounding each difference to the tenths place, we get:
6.5, 3.5, 1.5, 1.5, 0.5, 12.5.
Therefore, each photo is about 6.5, 3.5, 1.5, 1.5, 0.5, and 12.5 likes away from the average (MAD).