Question

The mean weight of the seven linebackers was 236 pounds. The first six linebackers weighed 215lb, 305lb, 265lb, 196lb, 221lb, and 236lb, respectevily. What was the weight of the seventh linebackers?

Answer 1

The weight of the seventh linebacker is = 214 lb.

Explanation:

Given:

Mean of 7 linebackers = 236 lb

The weights of first 6 linebackers are:

215 lb, 305 lb, 265 lb, 196 lb, 221 lb and 236 lb

To find the weight of seventh linebacker.

Solution:

Let the weight of the seventh linebacker be =
`x`

The mean of 7 line backers will be given as:

⇒
`(215+305+265+196+221+236+x)/(7)`

The mean of the 7 linebackers is given = 236 lb

Thus, the equation to find
`x` will be :

`(215+305+265+196+221+236+x)/(7)=236`

Simplifying.

`(1438+x)/(7)=236`

Multiplying both sides by 7.

`7.(1438+x)/(7)=236(7)`

`1438+x=1652`

Subtracting both sides by 1438.

`1438-1438+x=1652-1438`

∴
`x=214`

Thus, the weight of the seventh linebacker is = 214 lb.