Question

1. write and solve an equation to find the value of the variable. 104, 137, 154, 131, x; mean = 130 125 127 122 124

Explanation:

Step1: Use the mean formula

The mean formula is $\frac{\text{sum of data}}{\text{number of data}}$. Here, the sum of data is $104 + 137+154 + 131+x$, and the number of data is $5$, and the mean is $130$. So the equation is $\frac{104 + 137+154 + 131+x}{5}=130$.

Step2: Simplify the numerator

First, calculate $104 + 137+154 + 131 = 526$. The equation becomes $\frac{526+x}{5}=130$.

Step3: Solve the equation

Multiply both sides of the equation by $5$: $526+x=130\times5$. Then $526+x = 650$. Subtract $526$ from both sides: $x=650 - 526$.

Step4: Calculate the value of $x$

$x=124$.

Answer:

124