Question

541 412 500 622 601 524
what is the range of the scores?
a. 101
b. 154
c. 189
d. 210

1. the table shows a restaurants cost per meal for each of the five types of meals the restaurant sells. if the

mean cost per meal is $7.30, what is the cost per meal, in dollars, for grilled fish?
a. $5.40
b. $6.70
c. $7.90
d. $8.40

Explanation:

Step1: Recall the formula for the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here, \(n = 5\) (the number of meal - types), and \(\bar{x}=7.30\). So, \(\sum_{i=1}^{5}x_{i}=n\times\bar{x}=5\times7.30 = 36.5\)

Step2: Set up an equation for the sum of the costs

We know that \(7.30+8.20 + 7.00+x + 8.60=36.5\)

Step3: Simplify the left - hand side of the equation

\((7.30+8.20)+(7.00 + 8.60)+x=36.5\)
\(15.5+15.6+x=36.5\)
\(31.1+x=36.5\)

Step4: Solve for \(x\)

Subtract \(31.1\) from both sides of the equation: \(x=36.5 - 31.1\)
\(x = 5.4\)

Answer:

A. \(\$5.40\)