A number equal to $ 2 $ times the mean and with a frequency equal to $ k $ is inserted in a data having $ n $ observations. If the new mean is $ \frac{4}{3} $ times the old mean, then the value of $ \frac{k}{n} $ is

Question

A number equal to $ 2 $ times the mean and with a frequency equal to $ k $ is inserted in a data having $ n $ observations. If the new mean is $ \frac{4}{3} $ times the old mean, then the value of $ \frac{k}{n} $ is,

MARKS App · Accepted Answer

x ¯ n e w = 4 3 x ¯ From given information x ¯ n e w = n x ¯ + 2 k x ¯ n + k = 4 3 x ¯ ⇒ 3 n + 6 k = 4 n + 4 k ⇒ 2 k = n ⇒ k n = 0 . 5

Search any question & find its solution

Looking for more such questions to practice?