or a group от mean score of 55 and a standard deviation of 15. he scale on the normal distribution graph below. ST. 25 13.54% ents at Maquarie Gardens High School (MGHS) 34-13% 34.13% 40 13.397. 55 Score ber of students who would be expected to obtain a score between 70 2.1 85 5% of students will be given a fail. What is the cut-off mark for a fa

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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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%
34-13% 34.13%
40
55
Score
70
13.59%.
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%
(b) Find the number of students who would be expected to obtain a score between 70 and 85
100
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% 10 215% 25 13.54% 34-13% 34.13% 40 55 Score 70 13.59%. 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% (b) Find the number of students who would be expected to obtain a score between 70 and 85 100
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