Question

Find the mean, median and mode for each data set.

67, 89, 93, 77, 84

Answer 1

Answer:

mean =67+89+93+77+84/5

=410/5

=82

median

ascending order of observations is 67,77,84,89,93

= no of observations(n) = 5 (odd)

n+1/2

5+1/2

= 6/2

=3

median =3rd observation=84

mode=no of repated observations =0

Answer 2

Answer:

$mean = \frac{sum of all data set}{Number of set }$

$= \frac{67+89+93+77+84}{5}$

= $\frac{410}{5}$

$= 82$

here the number of observation is $5$

hence we will apply the odd formula for finding median

median = $\frac{(n+1)}{2}$

$=\frac{6}{2}\\= 3$

So by arranging the observation in ascending order we get

$= 67,77,84,89,93$

so the median is $3^{rd}$ position which is $84$

mode = no of repated observations = $0$

∴ mean =  $82$, median = $84$ and mode = $0$

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