Solved on Dec 13, 2023

Find the class with the highest average and least score variability from $\{A, B, C, D\}$ where each class has a range of $\{56, 55, 48, 57\}$ and mean scores $\{107, 114, 108, 105\}$ .

STEP 1

Assumptions
1. The range of scores is the difference between the highest and lowest scores in the class.
2. The mean score is the average score of all students in the class.
3. The class with the highest mean score has the highest scores on average.
4. The class with the smallest range of scores has the least variability.

STEP 2

Identify the mean score for each class to determine which class has the highest scores on average.
- Class A mean score: 107 - Class B mean score: 114 - Class C mean score: 108 - Class D mean score: 105

STEP 3

Compare the mean scores of each class to find the highest one.
$Class\, A: 107$ $Class\, B: 114$ $Class\, C: 108$ $Class\, D: 105$

STEP 4

Determine the class with the highest mean score.
Class B has the highest mean score of 114.

STEP 5

Identify the range of scores for each class to determine which class has the least variability.
- Class A range: 56 - Class B range: 55 - Class C range: 48 - Class D range: 57

STEP 6

Compare the ranges of scores of each class to find the smallest one.
$Class\, A: 56$ $Class\, B: 55$ $Class\, C: 48$ $Class\, D: 57$

STEP 7

Determine the class with the smallest range of scores.
Class C has the smallest range of scores of 48.
(a) Based on the information above, which class has the highest scores on average? Class B
(b) Based on the information above, which class's scores have the least variability? Class C

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Find the class with the highest average and least score variability from $\{A, B, C, D\}$ where each class has a range of $\{56, 55, 48, 57\}$ and mean scores $\{107, 114, 108, 105\}$ .

STEP 1

STEP 2

Identify the mean score for each class to determine which class has the highest scores on average.
- Class A mean score: 107 - Class B mean score: 114 - Class C mean score: 108 - Class D mean score: 105

STEP 3

Compare the mean scores of each class to find the highest one.
$Class\, A: 107$ $Class\, B: 114$ $Class\, C: 108$ $Class\, D: 105$

STEP 4

Determine the class with the highest mean score.
Class B has the highest mean score of 114.

STEP 5

Identify the range of scores for each class to determine which class has the least variability.
- Class A range: 56 - Class B range: 55 - Class C range: 48 - Class D range: 57

STEP 6

Compare the ranges of scores of each class to find the smallest one.
$Class\, A: 56$ $Class\, B: 55$ $Class\, C: 48$ $Class\, D: 57$

STEP 7

Determine the class with the smallest range of scores.
Class C has the smallest range of scores of 48.
(a) Based on the information above, which class has the highest scores on average? Class B
(b) Based on the information above, which class's scores have the least variability? Class C

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Find the class with the highest average and least score variability from {A,B,C,D}\{A, B, C, D\}{A,B,C,D} where each class has a range of {56,55,48,57}\{56, 55, 48, 57\}{56,55,48,57} and mean scores {107,114,108,105}\{107, 114, 108, 105\}{107,114,108,105}.

STEP 1

STEP 2

Identify the mean score for each class to determine which class has the highest scores on average.- Class A mean score: 107 - Class B mean score: 114 - Class C mean score: 108 - Class D mean score: 105

STEP 3

Compare the mean scores of each class to find the highest one.Class A:107Class\, A: 107ClassA:107 Class B:114Class\, B: 114ClassB:114 Class C:108Class\, C: 108ClassC:108 Class D:105Class\, D: 105ClassD:105

STEP 4

Determine the class with the highest mean score.Class B has the highest mean score of 114.

STEP 5

Identify the range of scores for each class to determine which class has the least variability.- Class A range: 56 - Class B range: 55 - Class C range: 48 - Class D range: 57

STEP 6

Compare the ranges of scores of each class to find the smallest one.Class A:56Class\, A: 56ClassA:56 Class B:55Class\, B: 55ClassB:55 Class C:48Class\, C: 48ClassC:48 Class D:57Class\, D: 57ClassD:57

STEP 7

Determine the class with the smallest range of scores.Class C has the smallest range of scores of 48.(a) Based on the information above, which class has the highest scores on average? Class B(b) Based on the information above, which class's scores have the least variability? Class C

Start learning now

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

Find the class with the highest average and least score variability from $\{A, B, C, D\}$ where each class has a range of $\{56, 55, 48, 57\}$ and mean scores $\{107, 114, 108, 105\}$ .

Identify the mean score for each class to determine which class has the highest scores on average.
- Class A mean score: 107 - Class B mean score: 114 - Class C mean score: 108 - Class D mean score: 105

Compare the mean scores of each class to find the highest one.
$Class\, A: 107$ $Class\, B: 114$ $Class\, C: 108$ $Class\, D: 105$

Determine the class with the highest mean score.
Class B has the highest mean score of 114.

Identify the range of scores for each class to determine which class has the least variability.
- Class A range: 56 - Class B range: 55 - Class C range: 48 - Class D range: 57

Compare the ranges of scores of each class to find the smallest one.
$Class\, A: 56$ $Class\, B: 55$ $Class\, C: 48$ $Class\, D: 57$

Determine the class with the smallest range of scores.
Class C has the smallest range of scores of 48.
(a) Based on the information above, which class has the highest scores on average? Class B
(b) Based on the information above, which class's scores have the least variability? Class C