Question

find the mean and median from the following data side of item 10 11 12 13 14 15 16 and frequency 2 7 11 15 10 4 1

Answer 1

Hey mate here we go

$lets \: write \: those \: numbers \\items - frequency \\ 10 - 2 \\ 11 - 7 \\ 12 - 11 \\ 13 - 15 \\ 14 - 10 \\15 - 4 \\ 16 - 1 \\ here \: we \: write \: formula \: for \: mean \\ mean = \frac{sum \: of \: observation}{no \: of \: observation} \\ mean = \frac{2 + 7 + 11 + 15 + 10 + 4 + 1}{7} \\ mean = \frac{50}{7} \\ mean = 7.142 \\ nw \: we \: will \: write \: formula \: for \: median \\ median = \frac{ n+ 1}{2} ....\: when \: odd \\ median = \frac{n}{2} \: \\ so \: we \: have \: to \: write \: them \: in \: ascending \: \\ order \\ 1 \: 2 \: \: 4 \: \: 7 \: \: 10 \: \: 11 \: \: 15 \\ numbers \: are \: in \: odd \\ \: so \: median = \frac{7 + 1}{2} = 4 \: \\ so \: 4th \: number \: is \: median \\ i.e \: < 7 >$

I hope this will help you

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