dr. ibanez recorded the amount of snowfall, in centimeters, at 10 different locations during 1 day and then…
dr. ibanez recorded the amount of snowfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest. the amounts were 3, 3, 3, 3, 4, 4, 4, 5, 5, and 6 cm. the mean of these measurements is 4 cm. what is the mean absolute deviation? 0 0.8 1 2.5
Answer
Explanation:
Step1: Calculate absolute - deviations
For 3: (|3 - 4|=1), there are 4 values of 3, so total deviation is (4\times1 = 4). For 4: (|4 - 4| = 0), there are 3 values of 4, so total deviation is (3\times0=0). For 5: (|5 - 4| = 1), there are 2 values of 5, so total deviation is (2\times1 = 2). For 6: (|6 - 4| = 2), there is 1 value of 6, so total deviation is (1\times2 = 2).
Step2: Calculate mean absolute deviation
The sum of absolute - deviations is (4 + 0+2 + 2=8). The number of data points (n = 10). The mean absolute deviation (MAD=\frac{8}{10}=0.8).
Answer:
0.8