Question

10. Find the mean deviation from arithmetic mean of 6, 7, 10, 8,
17, 11.​

Answer 1

Answer:

6+7+10+8+17+11/6

59/6

9.83

Answer 2

Given:

• Numbers are 6, 7, 10, 8, 17, 11

Solution:

$\\ \circ \: {\boxed{\tt\large\red{ Arithmetic \ Mean _{( \overline{x} )} = \dfrac{ \Sigma x}{n} }}}$

Where

• x = Variable under consideration
• n = Total number of values

According to Question,

$\colon\implies{\tt{ {( \overline{x} )} = \dfrac{ \Sigma x}{n} }} \\ \\ \\ \colon\implies{\tt{ {( \overline{x} )} = \dfrac{6 + 7+ 10+8+17+ 11}{6} }} \\ \\ \\ \colon\implies{\tt{ {( \overline{x} )} = \cancel{ \dfrac{59}{6} } }} \\ \\ \\ \colon\implies{\boxed{\mathfrak\pink{ {( \overline{x} )} = 9.8 }}}$

Hence,

• The Arithmetic Mean of Such Observation is 9.8 .

More to Know

• To find the mean, we multiply each mid point by the corresponding frequency, sum these products and divide by the sum of frequency.