Knowee
Questions
Features
Study Tools

Teacher Dianne gave a 100-item test in Biology where the mean performance of the class is 75 with a standard deviation of 4. Joseph got a score of 87. What description rating should he give to Joseph?*1 pointa. Poorb. b. Averagec. c. Outstandingd. d. Above Average

Question

Teacher Dianne gave a 100-item test in Biology where the mean performance of the class is 75 with a standard deviation of 4. Joseph got a score of 87. What description rating should he give to Joseph?*1 pointa. Poorb. b. Averagec. c. Outstandingd. d. Above Average

🧐 Not the exact question you are looking for?Go ask a question

Solution

To answer this question, we need to calculate Joseph's z-score, which is a measure of how many standard deviations an element is from the mean.

The formula for the z-score is:

Z = (X - μ) / σ

where: X is the raw score, μ is the population mean, and σ is the standard deviation.

Substituting the given values into the formula, we get:

Z = (87 - 75) / 4 = 3

A z-score of 3 means that Joseph's score is 3 standard deviations above the mean.

In terms of rating, a z-score of 3 is quite high. This would typically be considered outstanding performance. So, the correct answer is:

c. Outstanding

This problem has been solved

Similar Questions

Teacher JM gives 40-item test in Mathematics where the mean performance of the group is 35 and the standard deviation is 4. Christopher obtained a score of 37. Which of the following best described his performance?*1 pointa. Below averageb. Above averagec. Averaged. d. Excellent

Question 4Your instructor tells you that the recent exam had a mean of 80 points and a standard deviation of 2.3. Interpret the standard deviation value in everyday language.1 pointThe maximum score was 82.3.Most students earned an 80 on the exam.The typical score was 2.3 points away from the mean.The range of scores was 4.6.

After six biology tests, Ruben has a mean score of 75. What score does Ruben need on the next test to raise his average (mean) to 77?

Heidi and John are teachers teaching similar classes and both gave their classes an exam.  Here are the summaries for the exam scores:Heidi's class:Mean 75Median 78Standard Deviation 3John's class:Mean 75Median 65Standard Deviation 12 Which of the following statements is most correct?  Group of answer choicesJohn's class had some students who received very low scores, exactly 50% of his students scored less than or equal to 75%, and the scores were quite varied when compared to Heidi's class scores.John's class likely had some outlier scores that were very high, exactly 50% of his students scored less than or equal to 65%, and the scores were quite varied when compared to Heidi's class scores.The scores in John's class were more consistent than the scores in Heidi's class.Since the median is higher than the mean in Heidi's class, there were likely some outlier scores that were very high.John's class likely had some outlier scores that were very high and thus the mean would be the best measure of center for his data set.

Jenny has five exam scores of 8989, 8585, 7979, 7777, and 7676 in her history class. What score does she need on the final exam to have a mean grade of 8080? Round your answer to two decimal places, if necessary. (All exams have a maximum of 100100 points.)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.