Jane has scored the following marks on the first 5 exams: 65,70,55,87,87. What is the minimum score she must achieve on the last exam if she is to reach her target of a 70% average?

Kevin Charles
2022-10-19
Answered

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wespee0

Answered 2022-10-20
Author has **15** answers

$70=\frac{359+x}{6}$

420=359+x

x=61

420=359+x

x=61

Stephany Wilkins

Answered 2022-10-21
Author has **2** answers

$\text{Mean}=\frac{\text{Total}}{\text{Number}}$

From this we can calculate the Total by multiplying:

$\text{Total}=\text{Mean}\times \text{Number}$

If the average for 6 exams must be 70, the total for all 6 exams must be:

$T=6\times 70=420$

Jane's total after 5 exams is: $60+70+55+82+87=359$

Therefore in the last exam she should score a mark of at least:

$420-359=61$

$\frac{60+70+55+82+87+61}{6}=70$

From this we can calculate the Total by multiplying:

$\text{Total}=\text{Mean}\times \text{Number}$

If the average for 6 exams must be 70, the total for all 6 exams must be:

$T=6\times 70=420$

Jane's total after 5 exams is: $60+70+55+82+87=359$

Therefore in the last exam she should score a mark of at least:

$420-359=61$

$\frac{60+70+55+82+87+61}{6}=70$

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