A die was rolled six times. The rolls were 1, 2, 3, 3, 4, and 5. What is the mean deviation for this data?

3/5
1
2
6

Respuesta :

Answer:

Answer: 1

Step-by-step explanation:

The mean is 3.  To find the mean of deviation, you need to subtract the mean with all the numbers:

1-3= -2

2-3= -1

3-3= 0

3-3= 0

4-3= 1

5-3= 2

The mean deviation is always positive, so change the negative numbers into positives.  Add them up and find the mean:

2 + 1 + 0 + 0 + 1 + 2 = 6

You would then divide 6 by 6 because there are 6 numbers.  

[tex]\frac{6}{6}=1[/tex]

The mean deviation is 1.

The mean deviation of the given data is;

Option B: 1

Formula for mean deviation is;

Σ(x - x¯)/n

Now, x¯ is the mean = (1 + 2 + 3 + 3 + 4 + 5)/5

x¯ = 3

Thus;

1 - 3 = -2

2 - 3 = -1

3 - 3 = 0

3 - 3 = 0

4 - 3 = 1

5 - 3 = 2

Mean deviation is usually a positive value. Thus;

Σ(x - x¯) = 2 + 1 + 0 + 0 + 1 + 2

Σ(x - x¯) = 6

Thus;

Σ(x - x¯)/n = 6/6

Σ(x - x¯)/n = 1

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