QuestionCalculate the average exam grades for 10 students who studied ( $93, 96, 89, 88, 88, 99, 78, 96, 98, 75$ ) and 10 who didn't ( $64, 72, 70, 63, 56, 49, 88, 66, 76, 76$ ). Provide answers to two significant figures.

Studdy Solution

STEP 1

Assumptions1. We have two sets of data grades of students who studied and grades of students who did not study. . Each set contains10 grades.
3. We need to find the average grade for each set.

STEP 2

First, we need to find the sum of the grades for the students who studied. The sum of a set of numbers is found by adding all the numbers in the set together.
$Sum\, of\, grades\, (studied) =93 +96 +89 +88 +88 +99 +78 +96 +98 +75$

STEP 3

Calculate the sum of the grades for the students who studied.
$Sum\, of\, grades\, (studied) =93 +96 +89 +88 +88 +99 +78 +96 +98 +75 =900$

STEP 4

Next, we need to find the sum of the grades for the students who did not study. Again, the sum of a set of numbers is found by adding all the numbers in the set together.
$Sum\, of\, grades\, (did\, not\, study) =64 +72 +70 +63 +56 +49 +88 +66 +76 +76$

STEP 5

Calculate the sum of the grades for the students who did not study.
$Sum\, of\, grades\, (did\, not\, study) =64 +72 +70 +63 +56 +49 +88 +66 +76 +76 =680$

STEP 6

Now that we have the sum of the grades for each set of students, we can find the average grade. The average of a set of numbers is found by dividing the sum of the numbers by the count of the numbers.
$Average\, grade\, (studied) = Sum\, of\, grades\, (studied) / Count\, of\, grades\, (studied)$

STEP 7

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who studied.
$Average\, grade\, (studied) =900 /10$

STEP 8

Calculate the average grade for the students who studied.
$Average\, grade\, (studied) =900 /10 =90$

STEP 9

Similarly, we can find the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) = Sum\, of\, grades\, (did\, not\, study) / Count\, of\, grades\, (did\, not\, study)$

STEP 10

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) =680 /10$

STEP 11

Calculate the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) =680 /10 =68$ The average exam grade of students who studied is90, and the average exam grade of the students who did not study is68.

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QuestionCalculate the average exam grades for 10 students who studied ( $93, 96, 89, 88, 88, 99, 78, 96, 98, 75$ ) and 10 who didn't ( $64, 72, 70, 63, 56, 49, 88, 66, 76, 76$ ). Provide answers to two significant figures.

Studdy Solution

STEP 1

Assumptions1. We have two sets of data grades of students who studied and grades of students who did not study. . Each set contains10 grades.
3. We need to find the average grade for each set.

STEP 2

First, we need to find the sum of the grades for the students who studied. The sum of a set of numbers is found by adding all the numbers in the set together.
$Sum\, of\, grades\, (studied) =93 +96 +89 +88 +88 +99 +78 +96 +98 +75$

STEP 3

Calculate the sum of the grades for the students who studied.
$Sum\, of\, grades\, (studied) =93 +96 +89 +88 +88 +99 +78 +96 +98 +75 =900$

STEP 4

Next, we need to find the sum of the grades for the students who did not study. Again, the sum of a set of numbers is found by adding all the numbers in the set together.
$Sum\, of\, grades\, (did\, not\, study) =64 +72 +70 +63 +56 +49 +88 +66 +76 +76$

STEP 5

Calculate the sum of the grades for the students who did not study.
$Sum\, of\, grades\, (did\, not\, study) =64 +72 +70 +63 +56 +49 +88 +66 +76 +76 =680$

STEP 6

Now that we have the sum of the grades for each set of students, we can find the average grade. The average of a set of numbers is found by dividing the sum of the numbers by the count of the numbers.
$Average\, grade\, (studied) = Sum\, of\, grades\, (studied) / Count\, of\, grades\, (studied)$

STEP 7

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who studied.
$Average\, grade\, (studied) =900 /10$

STEP 8

Calculate the average grade for the students who studied.
$Average\, grade\, (studied) =900 /10 =90$

STEP 9

Similarly, we can find the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) = Sum\, of\, grades\, (did\, not\, study) / Count\, of\, grades\, (did\, not\, study)$

STEP 10

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) =680 /10$

STEP 11

Calculate the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) =680 /10 =68$ The average exam grade of students who studied is90, and the average exam grade of the students who did not study is68.

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Studdy Solution

STEP 1

Assumptions1. We have two sets of data grades of students who studied and grades of students who did not study. . Each set contains10 grades.3. We need to find the average grade for each set.

STEP 2

STEP 3

Calculate the sum of the grades for the students who studied.Sum of grades (studied)=93+96+89+88+88+99+78+96+98+75=900Sum\, of\, grades\, (studied) =93 +96 +89 +88 +88 +99 +78 +96 +98 +75 =900Sumofgrades(studied)=93+96+89+88+88+99+78+96+98+75=900

STEP 4

STEP 5

Calculate the sum of the grades for the students who did not study.Sum of grades (did not study)=64+72+70+63+56+49+88+66+76+76=680Sum\, of\, grades\, (did\, not\, study) =64 +72 +70 +63 +56 +49 +88 +66 +76 +76 =680Sumofgrades(didnotstudy)=64+72+70+63+56+49+88+66+76+76=680

STEP 6

STEP 7

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who studied.Average grade (studied)=900/10Average\, grade\, (studied) =900 /10Averagegrade(studied)=900/10

STEP 8

Calculate the average grade for the students who studied.Average grade (studied)=900/10=90Average\, grade\, (studied) =900 /10 =90Averagegrade(studied)=900/10=90

STEP 9

STEP 10

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who did not study.Average grade (did not study)=680/10Average\, grade\, (did\, not\, study) =680 /10Averagegrade(didnotstudy)=680/10

STEP 11

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Assumptions1. We have two sets of data grades of students who studied and grades of students who did not study. . Each set contains10 grades.
3. We need to find the average grade for each set.

Calculate the sum of the grades for the students who studied.
$Sum\, of\, grades\, (studied) =93 +96 +89 +88 +88 +99 +78 +96 +98 +75 =900$

Calculate the sum of the grades for the students who did not study.
$Sum\, of\, grades\, (did\, not\, study) =64 +72 +70 +63 +56 +49 +88 +66 +76 +76 =680$

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who studied.
$Average\, grade\, (studied) =900 /10$

Calculate the average grade for the students who studied.
$Average\, grade\, (studied) =900 /10 =90$

Plug in the values for the sum of the grades and the count of the grades to calculate the average grade for the students who did not study.
$Average\, grade\, (did\, not\, study) =680 /10$