Question

A die was thrown 15 times the outcomes recorded were 5 , 3 , 4 , 1 , 2 , 6 , 4 , 2 , 2 , 3 , 1 , 5 , 6 , 2
find the mode and median of this data.
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Answer 1

Answer:

Rearranging the data into ascending order, we get

1,1,1,2,2,2,2,3,3,4,4,5,5,6,6

We know that,

Mean=

number of observations

sum of observations

⇒ Mean=

15

1+1+1+2+2+2+3+3+4+4+5+5+6+6

=

15

47

=3.13

Now, total number of observations =15, which is odd.

∴ Median =8

th

term =3

Now, the observation 2 occurs the most i.e., 4 times

∴ Mode =2

Hence, Mean =3.13, Median =3 and Mode=2$$.