Question

the cost of living index and the number of weeks are given in the following table find the median cost of living index
using assumed mean method

cost of living number of
index weeks

140 150 5
150 160 10
160 170 18
170 180 9
180 190 6
190 200 2​

Answer 1

165.56 is the median of Data

Step-by-step explanation:

Class                   f                 cf

140 - 150            5                   5

150 - 160           10                  15

160 - 170            18                 33

170 - 180            9                  42

180 - 190            6                  48

190 -200            2​                   50

Median 25 lies in 160 - 170

Median = 160  +  10 * (25 - 15)/18

= 160 + 10 * 10/18

= 160 + 5.56

= 165.56

165.56 is the median of Data

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Answer 2

$\huge\star\mathfrak\blue{{Answer:-}}$

Cost of living Mean Weeks Mean * weeks

140 - 150 145 5 725

150 - 160 155 10 1550

160 - 170 165 20 3300

170 - 180 175 9 1575

180 - 190 185 6 1110

190 - 200 195 2 390

Total 52 8650

Mean index = 8650/52 = 166.35