Find the mean absolute deviation of the following dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. Round the answer to the nearest tenth.(1 point)
Responses
7.0
7.0
11.8
11.8
1.7
1.7
9.3
9 answers
9.3
The number of visitors to a museum per hour recorded in one day is 106, 122, 134, 150, 120, 92, 75. What is the mean absolute deviation for this dataset? Round the answer to the nearest tenth.(1 point)
Responses
799.0
799.0
138.9
138.9
19.8
19.8
114.1
Responses
799.0
799.0
138.9
138.9
19.8
19.8
114.1
114.1
A dataset includes the point 34.6. The mean of the set is 32.1. What is the absolute deviation for this data point? Round the answer to the nearest tenth.(1 point)
Responses
32.1
32.1
−2.5
negative 2.5
2.5
2.5
34.6
Responses
32.1
32.1
−2.5
negative 2.5
2.5
2.5
34.6
2.5
Sarina tracks her time spent on homework each night for a week, in minutes. She collects the following times: 51, 60, 25, 15, 20, 5, 35. When she solves for the mean absolute deviation, what number will she use for the divisor?(1 point)
Responses
7
7
55
55
30.1
30.1
15.9
Responses
7
7
55
55
30.1
30.1
15.9
7
What is the sum of the absolute deviations in the following dataset: 68, 51, 75, 78, 94, 35? The mean is 66.8.(1 point)
Responses
95.4
95.4
401
401
59
59
15.9
15.9
Responses
95.4
95.4
401
401
59
59
15.9
15.9
X = {68, 51, 75, 78, 94, 35}
Mean = (68+51+75+78+94+35)/6 = 66.8
|68-66.8| = 1.2
|51-66.8| = 15.8
|75-66.8| = 8.2
|78-66.8| = 11.2
|94-66.8| = 27.2
|35-66.8| = 31.8
Sum of Absolute Deviations = 1.2 + 15.8 + 8.2 + 11.2 + 27.2 + 31.8 = 95.4
Therefore, the sum of the absolute deviations is 95.4. Answer: 95.4
Mean = (68+51+75+78+94+35)/6 = 66.8
|68-66.8| = 1.2
|51-66.8| = 15.8
|75-66.8| = 8.2
|78-66.8| = 11.2
|94-66.8| = 27.2
|35-66.8| = 31.8
Sum of Absolute Deviations = 1.2 + 15.8 + 8.2 + 11.2 + 27.2 + 31.8 = 95.4
Therefore, the sum of the absolute deviations is 95.4. Answer: 95.4