when-a-die-is-rolled-42-times-it-is-so-happened-that-a-face-having-the-digit-i-times-occured-2i-times-then-find-the-mean-deviation-from-the-mean-of-this-discrete-frequency-distribution-ans-is-80-

FacebookTweetPin

Question Number 151454 by gsk2684 last updated on 21/Aug/21

$$whenadieisrolled42timesitisso$$$$happenedthatafacehavingthedigiti$$$$timesoccured2itimes.thenfindthe$$$$meandeviationfromthemeanofthis$$$$discretefrequencydistribution.$$$$ansis\frac{80}{63}$$$$solpls$$

Commented by Olaf_Thorendsen last updated on 21/Aug/21

$$\bullet i=\{1,2,3,4,5,6\}$$$$\bullet x_i=i$$$$\bullet n_i=2i$$$$\bullet n=\underset{i=1}{\sum ^6}{n}_i=42$$$$\bullet f_i=\frac{n_i}{n}=\frac{2i}{42}=\frac{i}{21}$$$$\bullet \stackrel{-}{x}=\underset{i=1}{\sum ^6}{f}_i{x}_i=\underset{i=1}{\sum ^6}\frac{i^2}{21}=\frac{\frac{6\times 7\times 13}{6}}{21}=\frac{13}{3}$$$$\bullet \sigma =\underset{i=1}{\sum ^6}{f}_i\mid x_i-\stackrel{-}{x}\mid =\underset{i=1}{\sum ^6}\frac{i}{21}\mid i-\frac{13}{3}\mid =\frac{80}{63}$$

Commented by gsk2684 last updated on 21/Aug/21

$$dhanyavadhamulu\left(thanks\right)$$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

FacebookTweetPin