The mean, median, and mode are all equal for this set: (3,4,5,8,x). What's the value of 'x'?

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Answer 1 · 2018-04-22T14:17:21

#x=5#

#3,4,5,8,x#

mean#=#mode#=#median

#sumx_i=(20+x)/5=4+x/5#

since we required there to be a mode

#:.x>0#

#because x=0=> barx=4, " median " =4" but there is no mode"#

#x=5=>barx=4+5/5=5#
we have

#3,4,5,5,8#

median# =5#

mode #=5#

#:. x=5#