Question

Following are the observation of throwing a dice 15 times

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

Answer 1

Given : observation of throwing a dice 15 times

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

To Find :  mean, mode and median of this data,​

Solution:

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

arranging data in order

1  1  1  2  2  2 2 3  3 4 4 5 5 6 6

there are total 15 datas hence 8th data will be median

Hence 3 is the MEDIAN

2 has maximum frequency as 4

so 2 is the MODE

Mean = (1 + 1 + 1 +2 + 2 + 2 + 2+ 3 + 3 +4 + 4 + 5 + 5 + 6 + 6)/15

= 47/15

= 3.13

Mean is 3.13

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Answer 2

Complete question:

A die was thrown 15 times and the outcomes recorded were

5,3,4,1,2,6,4,2,2,3,1,5,6,1,2  Find the mean, median and mode of the data.

Solution:

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

Ascending order = 1,1,1,2,2,2,2,3,3,4,4,5,5,6,6

Mean:

Mean=   (1+1+1+2+2+2+3+3+4+4+5+5+6+6)/15

​Mean = 47/15 = 3.13

Median:

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

The middle number in the above data is median

The 8th term is middle number = 3

Mode:

The number 2 occurs most of the times, 2 occurs 4 times. so, mode is 2