Question

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.

What is the mean absolute deviation of the number of cars?

Round to the nearest tenth, if needed.

Responses

0.7
0.7

1.1
1.1

1.4
1.4

2

Answer 1

Answer:Rounding to the nearest tenth, the mean absolute deviation is 0.7. Therefore, the answer is 0.7.

Step-by-step explanation: To find the mean absolute deviation, we first need to find the mean (average) of the data set:

Mean = (1 + 1 + 2 + 2 + 2 + 4) / 6 = 2

Next, we find the deviation of each data point from the mean:

1 - 2 = -1

1 - 2 = -1

2 - 2 = 0

2 - 2 = 0

2 - 2 = 0

4 - 2 = 2

The absolute deviation is the absolute value of each deviation:

|-1| = 1

|-1| = 1

|0| = 0

|0| = 0

|0| = 0

|2| = 2

To find the mean absolute deviation, we take the average of the absolute deviations:

Mean Absolute Deviation = (1 + 1 + 0 + 0 + 0 + 2) / 6 = 0.67

Rounding to the nearest tenth, the mean absolute deviation is 0.7. Therefore, the answer is 0.7.