Question

Find
mean and
range of first
15 natural numbers​

Answer 1

━━━━━━━━━━━━━━━━━━━━

✤ Required Answer

✒ GiveN:

• First 15 natural numbers.

✒ To FinD:

• Find the mean of those numbers...?
• Find the Range of those numbers....?

━━━━━━━━━━━━━━━━━━━━

✤ How to solve?

For solving the question, First we should know the meaning and formula of Range and Mean:

• Range is the difference between the upper limit and lower limit of the given data.
• And, Mean is the average of numbers given in the data, It is calculated by,

$\large{ \boxed{ \sf{Mean = \frac{Sum \: of \: observations}{Number \: of \: observations} }}}$

☃️ So, We can now solve the above question.

━━━━━━━━━━━━━━━━━━━━

✤ Solution:

For 1st 15 natural numbers,

• Upper limit/Number = 15
• Lower limit/Number = 1

Finding Range of the data,

➝ Range = 15 - 1

➝ Range = 14

☀️ Range of the data = 14

Now, Finding mean

• We need, sum of observations
• No. of observations

Sum of first 'n' natural numbers,

➝ n(n + 1) / 2

➝ 15 × 16 / 2

➝ 15 × 8

➝ 120

No. of observations,

➝ (15 - 1) + 1

➝ 15

Then, Mean of the data,

➝ Mean = 120 / 15

➝ Mean = 8

☀️ Mean of the given data = 8

⚘ Hence, solved!!

━━━━━━━━━━━━━━━━━━━━