Question

The values below represent the test scores for 20 scholars in one Science class. 59, 64, 65, 69, 72, 72, 74, 77, 77, 78, 78, 83, 85, 85, 86, 88, 94, 96, 98, 100 The mean of these scores is 80. Find the MAD.

Answer 1

Answer: 14.5

Step-by-step explanation: To find the MAD, we first need to find the absolute deviation of each data point from the mean.

The mean is 80, so the absolute deviations from the mean for each data point are:

|59-80| = 21 |64-80| = 16 |65-80| = 15 |69-80| = 11 |72-80| = 8 |72-80| = 8 |74-80| = 6 |77-80| = 3 |77-80| = 3 |78-80| = 2 |78-80| = 2 |83-80| = 3 |85-80| = 5 |85-80| = 5 |86-80| = 6 |88-80| = 8 |94-80| = 14 |96-80| = 16 |98-80| = 18 |100-80| = 20

Next, we find the average of these absolute deviations by adding them up and dividing by the total number of data points:

(21+16+15+11+8+8+6+3+3+2+2+3+5+5+6+8+14+16+18+20)/20 = 14.5

Therefore, the MAD of the test scores is 14.5.