Solved on Feb 05, 2024

Find the mean score of $6$ students with scores $90$ , $17$ students with scores $80$ , and $13$ students with scores $70$ . Round the answer to at least one decimal place.

STEP 1

Assumptions
1. The number of students and their corresponding scores are given in the table.
2. The mean score is calculated by dividing the sum of all scores by the total number of students.
3. The scores are weighted by the number of students who achieved them.

STEP 2

Calculate the total score for each group of students by multiplying the number of students by their respective score.
$Total\, score\, for\, 90 = Number\, of\, students \times Score = 6 \times 90$

STEP 3

Calculate the total score for the students who scored 90.
$Total\, score\, for\, 90 = 6 \times 90 = 540$

STEP 4

Calculate the total score for the students who scored 80.
$Total\, score\, for\, 80 = 17 \times 80 = 1360$

STEP 5

Calculate the total score for the students who scored 70.
$Total\, score\, for\, 70 = 13 \times 70 = 910$

STEP 6

Add up all the total scores to get the combined total score.
$Combined\, total\, score = Total\, score\, for\, 90 + Total\, score\, for\, 80 + Total\, score\, for\, 70$

STEP 7

Calculate the combined total score.
$Combined\, total\, score = 540 + 1360 + 910$

STEP 8

Calculate the combined total score.
$Combined\, total\, score = 540 + 1360 + 910 = 2810$

STEP 9

Calculate the total number of students by adding the number of students in each score group.
$Total\, number\, of\, students = 6 + 17 + 13$

STEP 10

Calculate the total number of students.
$Total\, number\, of\, students = 6 + 17 + 13 = 36$

STEP 11

Now, calculate the mean score by dividing the combined total score by the total number of students.
$Mean\, score = \frac{Combined\, total\, score}{Total\, number\, of\, students}$

STEP 12

Plug in the values for the combined total score and the total number of students to calculate the mean score.
$Mean\, score = \frac{2810}{36}$

STEP 13

Calculate the mean score.
$Mean\, score = \frac{2810}{36} \approx 78.06$

STEP 14

Round the mean score to at least one decimal place.
$Mean\, score \approx 78.1$
The mean score is approximately 78.1.

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Find the mean score of $6$ students with scores $90$ , $17$ students with scores $80$ , and $13$ students with scores $70$ . Round the answer to at least one decimal place.

STEP 1

Assumptions
1. The number of students and their corresponding scores are given in the table.
2. The mean score is calculated by dividing the sum of all scores by the total number of students.
3. The scores are weighted by the number of students who achieved them.

STEP 2

Calculate the total score for each group of students by multiplying the number of students by their respective score.
$Total\, score\, for\, 90 = Number\, of\, students \times Score = 6 \times 90$

STEP 3

Calculate the total score for the students who scored 90.
$Total\, score\, for\, 90 = 6 \times 90 = 540$

STEP 4

Calculate the total score for the students who scored 80.
$Total\, score\, for\, 80 = 17 \times 80 = 1360$

STEP 5

Calculate the total score for the students who scored 70.
$Total\, score\, for\, 70 = 13 \times 70 = 910$

STEP 6

Add up all the total scores to get the combined total score.
$Combined\, total\, score = Total\, score\, for\, 90 + Total\, score\, for\, 80 + Total\, score\, for\, 70$

STEP 7

Calculate the combined total score.
$Combined\, total\, score = 540 + 1360 + 910$

STEP 8

Calculate the combined total score.
$Combined\, total\, score = 540 + 1360 + 910 = 2810$

STEP 9

Calculate the total number of students by adding the number of students in each score group.
$Total\, number\, of\, students = 6 + 17 + 13$

STEP 10

Calculate the total number of students.
$Total\, number\, of\, students = 6 + 17 + 13 = 36$

STEP 11

Now, calculate the mean score by dividing the combined total score by the total number of students.
$Mean\, score = \frac{Combined\, total\, score}{Total\, number\, of\, students}$

STEP 12

Plug in the values for the combined total score and the total number of students to calculate the mean score.
$Mean\, score = \frac{2810}{36}$

STEP 13

Calculate the mean score.
$Mean\, score = \frac{2810}{36} \approx 78.06$

STEP 14

Round the mean score to at least one decimal place.
$Mean\, score \approx 78.1$
The mean score is approximately 78.1.

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Find the mean score of 666 students with scores 909090, 171717 students with scores 808080, and 131313 students with scores 707070. Round the answer to at least one decimal place.

STEP 1

Assumptions1. The number of students and their corresponding scores are given in the table.2. The mean score is calculated by dividing the sum of all scores by the total number of students.3. The scores are weighted by the number of students who achieved them.

STEP 2

Calculate the total score for each group of students by multiplying the number of students by their respective score.Total score for 90=Number of students×Score=6×90Total\, score\, for\, 90 = Number\, of\, students \times Score = 6 \times 90Totalscorefor90=Numberofstudents×Score=6×90

STEP 3

Calculate the total score for the students who scored 90.Total score for 90=6×90=540Total\, score\, for\, 90 = 6 \times 90 = 540Totalscorefor90=6×90=540

STEP 4

Calculate the total score for the students who scored 80.Total score for 80=17×80=1360Total\, score\, for\, 80 = 17 \times 80 = 1360Totalscorefor80=17×80=1360

STEP 5

Calculate the total score for the students who scored 70.Total score for 70=13×70=910Total\, score\, for\, 70 = 13 \times 70 = 910Totalscorefor70=13×70=910

STEP 6

STEP 7

Calculate the combined total score.Combined total score=540+1360+910Combined\, total\, score = 540 + 1360 + 910Combinedtotalscore=540+1360+910

STEP 8

Calculate the combined total score.Combined total score=540+1360+910=2810Combined\, total\, score = 540 + 1360 + 910 = 2810Combinedtotalscore=540+1360+910=2810

STEP 9

Calculate the total number of students by adding the number of students in each score group.Total number of students=6+17+13Total\, number\, of\, students = 6 + 17 + 13Totalnumberofstudents=6+17+13

STEP 10

Calculate the total number of students.Total number of students=6+17+13=36Total\, number\, of\, students = 6 + 17 + 13 = 36Totalnumberofstudents=6+17+13=36

STEP 11

Now, calculate the mean score by dividing the combined total score by the total number of students.Mean score=Combined total scoreTotal number of studentsMean\, score = \frac{Combined\, total\, score}{Total\, number\, of\, students}Meanscore=TotalnumberofstudentsCombinedtotalscore​

STEP 12

Plug in the values for the combined total score and the total number of students to calculate the mean score.Mean score=281036Mean\, score = \frac{2810}{36}Meanscore=362810​

STEP 13

Calculate the mean score.Mean score=281036≈78.06Mean\, score = \frac{2810}{36} \approx 78.06Meanscore=362810​≈78.06

STEP 14

Round the mean score to at least one decimal place.Mean score≈78.1Mean\, score \approx 78.1Meanscore≈78.1The mean score is approximately 78.1.

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

Find the mean score of $6$ students with scores $90$ , $17$ students with scores $80$ , and $13$ students with scores $70$ . Round the answer to at least one decimal place.

Assumptions
1. The number of students and their corresponding scores are given in the table.
2. The mean score is calculated by dividing the sum of all scores by the total number of students.
3. The scores are weighted by the number of students who achieved them.

Calculate the total score for each group of students by multiplying the number of students by their respective score.
$Total\, score\, for\, 90 = Number\, of\, students \times Score = 6 \times 90$

Calculate the total score for the students who scored 90.
$Total\, score\, for\, 90 = 6 \times 90 = 540$

Calculate the total score for the students who scored 80.
$Total\, score\, for\, 80 = 17 \times 80 = 1360$

Calculate the total score for the students who scored 70.
$Total\, score\, for\, 70 = 13 \times 70 = 910$

Calculate the combined total score.
$Combined\, total\, score = 540 + 1360 + 910$

Calculate the combined total score.
$Combined\, total\, score = 540 + 1360 + 910 = 2810$

Calculate the total number of students by adding the number of students in each score group.
$Total\, number\, of\, students = 6 + 17 + 13$

Calculate the total number of students.
$Total\, number\, of\, students = 6 + 17 + 13 = 36$

Now, calculate the mean score by dividing the combined total score by the total number of students.
$Mean\, score = \frac{Combined\, total\, score}{Total\, number\, of\, students}$

Plug in the values for the combined total score and the total number of students to calculate the mean score.
$Mean\, score = \frac{2810}{36}$

Calculate the mean score.
$Mean\, score = \frac{2810}{36} \approx 78.06$

Round the mean score to at least one decimal place.
$Mean\, score \approx 78.1$
The mean score is approximately 78.1.