Question

for a disturibution if mean is 200, the co-efficient of variation is 8 and karl person's co-efficient of skewness is 0.3 . find the mode and median

Answer 1

Answer:

your solution is as follows

pls mark it as brainliest

Step-by-step explanation:

$to \: find : \\ 1.mode \: of \: data \\ 2.median \: of \: data \\ \\ given : \\ mean \: (x) = 200 \\ C .V = 8 \: \% \\ Skp = 0.3 \\ \\ we \: know \: that \\ C .V = \frac{S .D}{mean} \times 100 \\ \\ C .V = \frac{σ}{x} \times 100 \\ \\ 8 = \frac{σ}{200} \times 100 \\ \\ 8 = \frac{σ}{2} \\ \\ σ = S .D = 16$

$now \: then \\ we \: have \\ Skp = \frac{mean - mode}{S.D} \\ \\ 0.3 = \frac{200 - mode}{16} \\ \\ 200 - mode = 4.8 \\ \\ mode = 195.2$

$so \: now \: we \: know \: that \\ mean - mode = 3.(mean - median) \\ \\ 200 - 195.2 = 3(200 - median) \\ \\ 4.8 = 600 - 3.median \\ \\ 600 - 4.8 = 3.median \\ \\ 595.2 = 3.median \\ \\ median = \frac{595.2}{3} \\ \\ median = 198.4$