Regina owns a bookstore. she sold 87 94 91 and 84 books on the first 4 days of this week . Regina wants to have a mean of 90 books sold after 5 days what is the fewest number of books Regina can sell on day 5 that have a mean of 90 books sold ?

Regina owns a bookstore she sold 87 94 91 and 84 books on the first 4 days of this week Regina wants to have a mean of 90 books sold after 5 days what is the fe class=


Answer :

Mean or average value

The mean value of a number of data x={x1,x2,x3,...,xn} is calculated with the formula:

[tex]x_m=\frac{\sum^n_1x_i}{n}=\frac{x1+x2+x3+\cdots+xn}{n}[/tex]

We are given four values in the table (x1, x2, x3, and x4), we need to find the value of x5 so the mean is 90. Let's use the formula and the data

[tex]\frac{87+94+91+84+x5}{5}=90[/tex]

Multiplying by 5:

[tex]87+94+91+84+x5=90\cdot5=450[/tex]

Solving for x5:

[tex]x5=450-87-94-91-84[/tex]

Operating:

x5 = 94

Regina should sell 94 books on day 5