Question

Solve the problems.
Find the median of first 10 even numbers?
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
Find the mean, mode and median of this data.​

Answer 1

Step-by-step explanation:

Even numbers are: 2,4,6,8,10,12,14,16,18..

Here n=10

So median = {(n/2)th term and (n/2+1) term } /2

= 5th term and 6th term

= (10 + 12)/2

= 22/2 = 11...

Hence correct answer is 11

Answer 2

Given :

• A dice is thrown 15 times.

• The observations noted down are :-

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

To find :

• The median of first 10 even numbers

• Mean, mode

Solution :

The numbers which are divisible by 2 are even numbers.

The first 10 even numbers are :-

→ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

To calculate the median, we have to use the formula :-

→ 1/2 (n/2 + n/2 + 1)

→ 1/2 × (10/2 + 10/2 + 1)

→ 1/2 × (5n + 6n)

→ 1/2 × 10 + 12

→ 1/2 × 22

→ 11

The median of the given numbers is 11

Note :- (n refers to nth term)

→ No. of observations = 15

Writing the values in ascending order :-

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

Now, mean :-

→ (1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6 + 6)/15

→ 47/15

→ 3.13

Formula to calculate median = (n + 1)/2

→ Median= n+1/2

→ Median = 16/2

→ Term number = 8 = 3

Therefore, median = 3

Mode :-

→ 2 occurs four times.

Therefore, mode = 2