Question

Question 2 Find the mean deviation about the mean for the data

38, 70, 48, 40, 42, 55, 63, 46, 54, 44

Class X1 - Maths -Statistics Page 360

Answer 1

firstly, we have to find out mean of given data
we know,
$mean=\frac{sum\:of\:terms}{number\:of\:terms}\\\\or,\overline{x}=\frac{\sum{x_i}}{n}\\\\=\frac{38+70+48+42+55+63+46+54+44}{10}\\\\=\frac{500}{10}\\\\=50$
now, see attachment ,
we get,
absolute value of the deviation of xi from mean.
now,
$MD=\frac{\sum{|x_i-\overline{x}|}}{n}\\\\=\frac{84}{10}\\\\=8.4$