Math / Data & Statistics

QuestionHong has scored $77,66,87,67$ , and 94 on his previous five tests. What score does he need on his next test so that his average (mean) is 75 ?

Studdy Solution

STEP 1

1. Hong has taken five tests with scores: $77, 66, 87, 67,$ and $94$ .
2. The average (mean) of a set of numbers is the sum of the numbers divided by the count of the numbers.
3. Hong wants the average of six tests to be 75.

STEP 2

1. Calculate the sum of the current test scores.
2. Set up an equation to find the required score on the next test.
3. Solve the equation for the unknown score.

STEP 3

Calculate the sum of the current test scores:
$77 + 66 + 87 + 67 + 94$
$= 391$

STEP 4

Let $x$ be the score needed on the next test. The average of six tests should be 75:
$\frac{391 + x}{6} = 75$

STEP 5

Solve the equation for $x$ :
$391 + x = 75 \times 6$
$391 + x = 450$
$x = 450 - 391$
$x = 59$
Hong needs to score:
$\boxed{59}$

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QuestionHong has scored $77,66,87,67$ , and 94 on his previous five tests. What score does he need on his next test so that his average (mean) is 75 ?

Studdy Solution

STEP 1

1. Hong has taken five tests with scores: $77, 66, 87, 67,$ and $94$ .
2. The average (mean) of a set of numbers is the sum of the numbers divided by the count of the numbers.
3. Hong wants the average of six tests to be 75.

STEP 2

1. Calculate the sum of the current test scores.
2. Set up an equation to find the required score on the next test.
3. Solve the equation for the unknown score.

STEP 3

Calculate the sum of the current test scores:
$77 + 66 + 87 + 67 + 94$
$= 391$

STEP 4

Let $x$ be the score needed on the next test. The average of six tests should be 75:
$\frac{391 + x}{6} = 75$

STEP 5

Solve the equation for $x$ :
$391 + x = 75 \times 6$
$391 + x = 450$
$x = 450 - 391$
$x = 59$
Hong needs to score:
$\boxed{59}$

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QuestionHong has scored 77,66,87,6777,66,87,6777,66,87,67, and 94 on his previous five tests. What score does he need on his next test so that his average (mean) is 75 ?

Studdy Solution

STEP 1

1. Hong has taken five tests with scores: 77,66,87,67, 77, 66, 87, 67, 77,66,87,67, and 94 94 94.2. The average (mean) of a set of numbers is the sum of the numbers divided by the count of the numbers.3. Hong wants the average of six tests to be 75.

STEP 2

1. Calculate the sum of the current test scores.2. Set up an equation to find the required score on the next test.3. Solve the equation for the unknown score.

STEP 3

Calculate the sum of the current test scores:77+66+87+67+94 77 + 66 + 87 + 67 + 94 77+66+87+67+94=391 = 391 =391

STEP 4

Let x x x be the score needed on the next test. The average of six tests should be 75:391+x6=75 \frac{391 + x}{6} = 75 6391+x​=75

STEP 5

Solve the equation for x x x:391+x=75×6 391 + x = 75 \times 6 391+x=75×6391+x=450 391 + x = 450 391+x=450x=450−391 x = 450 - 391 x=450−391x=59 x = 59 x=59 Hong needs to score:59 \boxed{59} 59​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionHong has scored $77,66,87,67$ , and 94 on his previous five tests. What score does he need on his next test so that his average (mean) is 75 ?

1. Hong has taken five tests with scores: $77, 66, 87, 67,$ and $94$ .
2. The average (mean) of a set of numbers is the sum of the numbers divided by the count of the numbers.
3. Hong wants the average of six tests to be 75.

1. Calculate the sum of the current test scores.
2. Set up an equation to find the required score on the next test.
3. Solve the equation for the unknown score.

Calculate the sum of the current test scores:
$77 + 66 + 87 + 67 + 94$
$= 391$

Let $x$ be the score needed on the next test. The average of six tests should be 75:
$\frac{391 + x}{6} = 75$

Solve the equation for $x$ :
$391 + x = 75 \times 6$
$391 + x = 450$
$x = 450 - 391$
$x = 59$
Hong needs to score:
$\boxed{59}$