Question

The test scores of a student in 5 subjects are given. The scores are 60, 78, 82, 73, 67. If a new score is added, the new mean will become 74. What will be the new score?

• A. 70
• B. 80
• C. 84
• D. 81

Answer 1

The correct option is C 84

The given data set is

60, 78, 82, 73, 67

When we add a new score x, the new mean will be 74.

Hence,

Mean = $\frac{sumofalldata}{numberofdata}$

$⟹$ 74 = $\frac{60+78+82+73+67+x}{6}$

$⟹$ 74 = $\frac{360+x}{6}$

$⟹$ 6 $\times$ 74 = 360 +x

$⟹$ 444 = 360 + x

$⟹$ x = 444 - 360

$⟹$ x = 84

Hence, the new score is 84.