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Class A: 68, 79, 88, 91, 97, 98, 99
Class B: 85, 85, 85, 88, 88, 90, 90
The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlman's classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?
  • a)
    The standard dev iation of t he scores in Class A is smaller.
  • b)
    The standard deviation of the scores in Class B is smaller.
  • c)
    The standard deviations of the scores in Class A and Class B are equal.
  • d)
    The relationship cannot be determined from the information given.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90...
The standard deviation of a set of numbers tells us how “spread out” the data are from the average—the greater the standard deviation, the greater the spread from the average. It should be clear by inspection that the scores for Class B are more “clustered” than the scores for Class A. For instance, there is only a 5-point difference between the lowest and highest scores in Class B, but a 31-point difference between the lowest and highest scores in Class A. This means that the standard deviation of the scores in Class B is smaller.
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Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90...
Understanding Standard Deviation
Standard deviation is a measure of how spread out the scores are from the mean (average). A smaller standard deviation indicates that the scores are closer to the mean, while a larger standard deviation suggests that the scores are more spread out.
Scores Overview
- Class A Scores: 68, 79, 88, 91, 97, 98, 99
- Class B Scores: 85, 85, 85, 88, 88, 90, 90
Calculating Mean and Variance
1. Class A:
- Mean: (68 + 79 + 88 + 91 + 97 + 98 + 99) / 7 = 88.71
- The scores vary significantly from the mean, particularly with the lower score (68) and higher scores (98, 99).
2. Class B:
- Mean: (85 + 85 + 85 + 88 + 88 + 90 + 90) / 7 = 87.14
- The scores are tightly clustered around the mean, with repetitions of the score 85 and only slight variations.
Comparative Analysis
- Class A: The scores are more widely distributed, resulting in a higher standard deviation.
- Class B: The scores are closely grouped around the mean, leading to a lower standard deviation.
Conclusion
Based on the spread of the scores:
- Class A has a larger spread due to the extreme values (68 and 99).
- Class B has a smaller spread since most scores are similar.
Thus, the correct answer is option B: The standard deviation of the scores in Class B is smaller.
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Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?
Question Description
Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT. Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free.
Here you can find the meaning of Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Class A: 68, 79, 88, 91, 97, 98, 99Class B: 85, 85, 85, 88, 88, 90, 90The lists above indicate the tests scores, in increasing order, for two of Mr. Pearlmans classes, each of which has 6 students. Which of the following correctly compares the standard deviation of the scores for each class?a)The standard dev iation of t he scores in Class A is smaller.b)The standard deviation of the scores in Class B is smaller.c)The standard deviations of the scores in Class A and Class B are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SAT tests.
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