Find the mean for the following data set?

Question

Values #{10,15,20,25,30}#
Frequency #{5,10,7,8,2}#

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Answer 1 · 2016-09-06T08:31:25

Mean is #18.75#

It is apparent that while #X_i# have values #{10,15,20,25,30}#

and their respective #F_i# are frequencies of their occurrence in that order i.e. #{5,10,7,8,2}#

Mean of such distribution is given by

#(sum(X_ixxF_i))/(sumF_i)#

= #(10xx5+15xx10+20xx7+25xx8+30xx2)/(5+10+7+8+2)#

= #(50+150+140+200+60)/32#

= #600/32=18.75#