Question

Find and interpret the mean absolute deviation of the data. Round your answer to the nearest tenth, if necessary. The mean absolute deviation is . Question 2 response - correct

Answer 1

Required data:

_______________

| 60 | 105 | 80 | 125 |

| 140 | 95 | 65 | 170 |

----------------------------

Answer:

Mean absolute deviation = 30

Variability of the data about the mean value is 30

Explanation:

Mean = Σx / n

n = sample size = 8

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) = 840 / 8 = 105

Mean absolute deviation = Σ|x - mean| ÷ n

( |60-105| + |105-105| + |80-105| + |125 - 105| + |140-105| + |95-105| + |65-105| + |170-105|) / 8

(45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

240 / 8

= 30

The variability of data about the central point or mean value is 30.