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 4/3 times the old…

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 4/3 times the old mean, then the value of k/n is

MARKS Content Team · Accepted Answer

Correct answer: 0.5. x¯_new=4/3x¯ From given information x¯_new=(nx¯+2kx¯)/(n+k)=4/3x¯ ⇒3n+6k=4n+4k ⇒2k=n ⇒k/n=0.5

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

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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 43 times the old mean, then the value of kn is

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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