Answer:
She needs a grade of 71 on her next text.
Explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
Tammy has scored 82, 78, and 93 on her previous three tests.
Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.
There are 4 tests.
What score does she need on her next test so that her average (mean) is 81?
We have to find x when the mean is 81. So
![(82 + 78 + 93 + x)/(4) = 81](https://img.qammunity.org/2022/formulas/mathematics/college/t3b7j4zxicya83qitk39pgpwhdnsgd8fv6.png)
![253 + x = 324](https://img.qammunity.org/2022/formulas/mathematics/college/ooxtycz9x5rls797a3tcvaa18yxn6bbrq4.png)
![x = 324 - 253](https://img.qammunity.org/2022/formulas/mathematics/college/p97yhmjeq33bvrh32tz3kldd1zuu8n6cef.png)
![x = 71](https://img.qammunity.org/2022/formulas/mathematics/high-school/3thi6jq3nsnojm4f4q0adm8jea2tki3k3f.png)
She needs a grade of 71 on her next text.