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.

Answer 1

Given data is 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2

Arranging the data in ascending order, we have

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

Mean = `"Sum of all observations"/"Total number of observations"`

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

= `47/15`

= 3.13

Mode = Most frequent data = 2

Here, n = 15  ...(Odd)

Median = Value of `((n + 1)/2)`th observation

= Value of `((15 + 1)/2)`th observation

= Value of 8th observation

= 3