Question

Find mean deviation about mean of 60,65,68,70,75,73,80,70,83,86

Answer 1

Answer:

73

Step-by-step explanation:

730/10=73

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Answer 2

7

Step-by-step explanation:

Since the question is asking the mean deviation about mean of the data, we need not roder the values in ascending order.

we know that mean of the given data = $\frac{Sum of all terms}{Total number of terms}$

                       x = $\frac{60+65+68+70+75+73+80+70+83+86}{10}$

                          = $\frac{730}{10}$

                          = 73

Mean deviation about mean = ( Σ|$x_{i}$ − x | ) / n

Where the numerator is summation of values found by subracting the mean from each data value

and the denominator is the number of observations.

= $\frac{(|60 - 73| + |65 - 73| + |68 - 73|+ |70 - 73|+ |75 - 73|+ |73 - 73|+ |80 - 73|+ |70 - 73|+ |83 - 73|+ |86 - 73|)}{10}$

= $\frac{(13 + 8 + 5 + 3 + 2 + 0 + 13 + 3 + 10 + 13)}{10}$

= $\frac{70}{10}$

= 7                            

The mean deviation about the mean is 7.