Pablo has scored $$ 72,94,64,73 $$, and 68 on his previous five tests. What score does he need on his next test so that his average (mean) is 73 ?

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UpStudy AI · Accepted Answer

1. Write the average condition for Pablo's six tests. Let the score on his next test be $$ x $$. Then the average is given by

$$
   \frac{72+94+64+73+68+x}{6} = 73.
   $$

2. First, calculate the sum of the five given scores:

$$
   72 + 94 + 64 + 73 + 68 = 371.
   $$

3. Substitute this back into the equation:

$$
   \frac{371+x}{6}=73.
   $$

4. Multiply both sides by $$ 6 $$ to solve for $$ x $$:

$$
   371+x = 73\times 6.
   $$

5. Compute $$ 73 \times 6 $$:

$$
   73\times 6 = 438.
   $$

6. Now, solve for $$ x $$:

$$
   x = 438 - 371 = 67.
   $$

Thus, Pablo needs to score $$ 67 $$ on his next test to achieve an overall average of $$ 73 $$.
Pablo needs to score 67 on his next test to have an average of 73.

Pablo has scored \( 72,94,64,73 \), and 68 on his previous five tests. What score does he need on his next test so that his average (mean) is 73 ?

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