Question

Find the mean of 𝑥+3, 𝑥+5, 𝑥+7, 𝑥+9 and 𝑥+11.

Answer 1

Step : Calculating the mean
Given numbers: 𝑥+3, 𝑥+5, 𝑥+7, 𝑥+9, and 𝑥+11.
⇒ Sum of all numbers = 𝑥+3+ 𝑥+5+𝑥+7+𝑥+9+𝑥+11
= 5𝑥+35 = 5 (𝑥+7)
Number of observations = 5
∴ Mean =$\frac{\text{Sum of all numbers}}{\text{Number of observations}}$
= $\frac{\left(5\right(x+7\left)\right)}{5}$
∴Mean=𝑥+7
Hence, mean of given numbers is 𝑥+7.