Answer to Question #225799 in Statistics and Probability for Ashvi

Question #225799

(a) Packages of a certain candy vary slightly in weight. The weights of nine packages  are given as follows: 

1.6823 1.6844 1.6851 1.6866 1.6562 1.6848 1.6829 1.6835 1.6858 

(i) Find the mean and median of these weights. 




1
Expert's answer
2021-08-15T17:53:02-0400

solution  given data set1.6823, 1.6844, 1.6851, 1.6866, 1.6562, 1.6848, 1.6829, 1.6835, 1.6858meanmean=xinwhere xi = values from data set n= 9put the valuesmean=1.6823+ 1.6844+ 1.6851+ 1.6866+ 1.6562+ 1.6848+ 1.6829+ 1.6835+ 1.68589mean=15.13169mean=1.68128888889medianwe arrange data set as ascending order1.6562, 1.6823, 1.6829, 1.6835, 1.6844, 1.6848, 1.6851, 1.6858, 1.6866we have total 9 terms in data setso middle term of data set is 5th termit 5th term is called median  hence median =1.6844solution \space \\ \space given \space data \space set\\ 1.6823, \space 1.6844, \space 1.6851, \space 1.6866, \space 1.6562, \space 1.6848, \space 1.6829, \space 1.6835, \space 1.6858\\ -----------------------\\ mean\\ mean=\frac{\sum{x_i}}{n}\\ where \space \\ x_i \space = \space values \space from \space data \space set \space \\ n= \space 9\\ put \space the \space values\\ mean=\frac{1.6823+ \space 1.6844+ \space 1.6851+ \space 1.6866+ \space 1.6562+ \space 1.6848+ \space 1.6829+ \space 1.6835+ \space 1.6858}{9}\\ mean=\frac{15.1316}{9}\\ mean=1.68128888889\\ -----------------------\\ median\\ we \space arrange \space data \space set \space as \space ascending \space order\\ 1.6562, \space 1.6823, \space 1.6829, \space 1.6835, \space 1.6844, \space 1.6848, \space 1.6851, \space 1.6858, \space 1.6866\\ we \space have \space total \space 9 \space terms \space in \space data \space set\\ so \space middle \space term \space of \space data \space set \space is \space 5th \space term\\ it \space 5th \space term \space is \space called \space median \space \\ \space hence \space median \space =1.6844\\


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