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.

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So question. D ON THE GRAPHICS CALCULATOR .
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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