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**Median**

Median refers to middle element

1. Find median of 11,34,12,21,12,25,14

Ans. Count the numbers. There are 7 numbers.

Arrange in ascending order

11 , 12 , 12 , 14 , 21 , 25 , 34

Middle element is 14. 14 is the answer

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2. In case of even numbers. Let 1,3,2,4,7,3,4,5

8 numbers are there arrange in ascending order

1,2,3,3,4,4,5,7

Middle numbers are 2 numbers in even case. 3 and 4 here. So 3+4/2 =

3.5 answer

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**MODE**

Most repeating element in a given data is MODE

1. Find MODE of 44,43,54,44,32,43,56,54,44

Hence most repeating number is 44.

**Average**

Average = sum of quantities / number of quantities

1. Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different

subjects, What will be the average.

Explanation:

(65+67+76+82+85) /5 =75

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2. Find average of first 4 multiples of 5?

Ans. 5 , 10 , 15 , 20

5+10+15+20 / 4 = 50 /4 = 12.5

Another method. 1st + last / 2

5+20 / 2 = 12.5

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3. Find the sum of first 30 natural numbers

Answer.

Explanation:

Sum of n natural numbers

=n(n+1) / 2

Here n =30

=30(30+1) / 2

=30(31) / 2

=465

4. The average of four consecutive odd numbers is 24. Find the

largest number.

Explanation:

Let the numbers are , x+1, x+3, x+5,x+7

then

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(x+1)+(x+3)+(x+5)+(x+7) / 4=24

(x+1)+(x+3)+(x+5)+(x+7) = 24*4

4x+16 = 96

=>4x = 80

X=20

So largest number is x+7 = 20 + 7 = 27

5. A batsman makes a score of 87 runs in the 17th inning and thus

increases his average by 3. Find his average after 17th inning?

Solution

###### Fully Solved NTS Guide in PDF By Dogar’s Unique

Let the average after 7th inning = x

Then average after 16th inning = x – 3

16(x-3)+87 = 17x

x = 87 – 48 = 39