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Question 4 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. 10 215% 25 6 13.54% 0.1359 x 778 0 €185.98 upper 90 lower: 60 = √5 34-13% 34.13% 40 44= 55. 55 Score 70 -106 13.39% (b) Find the number of students who would be expected to obtain a score between 70 and 85 2.15%. 85 O (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? therefore, approximately 106 Students Nond be expected to obtain a SCOLe between 70 85 in the group of 78 e students. (d) What is the probability of a student obtaining a score between 60 and 90? GC in put 0.13 +215+13.59 = 16%. 0-13%. 100 aa #us thus, He cut-off mark for a fan is 40. :: the probability of a student obtaining a scole between 60 pad is approximately 0.361 or $236.11.

Question 4 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. 10 215% 25 6 13.54% 0.1359 x 778 0 €185.98 upper 90 lower: 60 = √5 34-13% 34.13% 40 44= 55. 55 Score 70 -106 13.39% (b) Find the number of students who would be expected to obtain a score between 70 and 85 2.15%. 85 O (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? therefore, approximately 106 Students Nond be expected to obtain a SCOLe between 70 85 in the group of 78 e students. (d) What is the probability of a student obtaining a score between 60 and 90? GC in put 0.13 +215+13.59 = 16%. 0-13%. 100 aa #us thus, He cut-off mark for a fan is 40. :: the probability of a student obtaining a scole between 60 pad is approximately 0.361 or $236.11.

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
Section: Chapter Questions
Problem 22SGR
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Question 4 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 13.54% 0.1359 x 780 109.98 34-13% 34.13% 40 that 55 Score 70 F186 13.397 2.15%. 85 (b) Find the number of students who would be expected to obtain a score between 70 and 85 (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? therefore, approximetery 106 Students wond be expected to obtain a SCOLe between 70 85 in the group of the students. 0-13% 100 (d) What is the probability of a student obtaining a score between 60 and 90? GC in put upper 90 lower: 60 15 u=55 0.13 +215 +13.59 bad #us thus, the cut-off mark for a faul is 40. :: the probability of a student obtaining a score between 60 pad is approximately 0.361 or $@36-11-
Transcribed Image Text:Question 4 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 13.54% 0.1359 x 780 109.98 34-13% 34.13% 40 that 55 Score 70 F186 13.397 2.15%. 85 (b) Find the number of students who would be expected to obtain a score between 70 and 85 (c) The bottom 16% of students will be given a fail. What is the cut-off mark for a fail? therefore, approximetery 106 Students wond be expected to obtain a SCOLe between 70 85 in the group of the students. 0-13% 100 (d) What is the probability of a student obtaining a score between 60 and 90? GC in put upper 90 lower: 60 15 u=55 0.13 +215 +13.59 bad #us thus, the cut-off mark for a faul is 40. :: the probability of a student obtaining a score between 60 pad is approximately 0.361 or $@36-11-
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