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The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 013% 10 215% 25 13.59% 34-13% 34.13% 4.9 13.39% 55 Score (b) Find the number of students who would be expected to obtain a score between 70 and 85 70 2.15% 0-13% 85 100

The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 013% 10 215% 25 13.59% 34-13% 34.13% 4.9 13.39% 55 Score (b) Find the number of students who would be expected to obtain a score between 70 and 85 70 2.15% 0-13% 85 100

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 013% 215%. 13.54% 10 34-13% 34.13% 25 49 55 Score (b) Find the number of students who would be expected to obtain a score between 70 and 85 13.397. 70 2.15% 85 (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? (d) What is the probability of a student obtaining a score between 60 and 90? 0.13%
Transcribed Image Text:The exam scores for a group of 780 students at Maquarie Gardens High School (MGHS) are normally distributed, with a mean score of 55 and a standard deviation of 15. (a) Complete the scale on the normal distribution graph below. 013% 215%. 13.54% 10 34-13% 34.13% 25 49 55 Score (b) Find the number of students who would be expected to obtain a score between 70 and 85 13.397. 70 2.15% 85 (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? (d) What is the probability of a student obtaining a score between 60 and 90? 0.13%
(e) Calculate lowest score of the top 10% of students A similar study is undertaken the following year at MGHS and it is found that the scores are still normally distributed, and with the same mean score of 55 but with a standard deviation of 5. (f) Assuming the failing score remains the same for this following year, explain why the percentage of students given a fail score will be less for this new group of students. The exam scores of 780 students from another school, Bondi Secondary School (BSS), were analysed. The scores were found to be normally distributed, and with a mean score of 52 and a standard deviation of 10. These exam scores were compared with those in part (a) from MGHS with a mean score of 55 and a standard deviation of 15. (g) If a student from MGHS obtains an exam score of 82 and a student from BHS obtains an exam score of 75, which student performs better relative to the students from their own school?
Transcribed Image Text:(e) Calculate lowest score of the top 10% of students A similar study is undertaken the following year at MGHS and it is found that the scores are still normally distributed, and with the same mean score of 55 but with a standard deviation of 5. (f) Assuming the failing score remains the same for this following year, explain why the percentage of students given a fail score will be less for this new group of students. The exam scores of 780 students from another school, Bondi Secondary School (BSS), were analysed. The scores were found to be normally distributed, and with a mean score of 52 and a standard deviation of 10. These exam scores were compared with those in part (a) from MGHS with a mean score of 55 and a standard deviation of 15. (g) If a student from MGHS obtains an exam score of 82 and a student from BHS obtains an exam score of 75, which student performs better relative to the students from their own school?
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