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A group of 120 students sat a history exam. The cumulative frequency graph shows the scores obtained by the students. 120- 100 80 60 40 20 20 40 60 80 100 Examination score (a) Find the median of the scores obtained. The students were awarded a grade from I to 5, depending on the score obtained in the exam. The number of students receiving each grade is shown in the following table. Grade 2 3 Number of students 13 26 9. (b) Find an expression for a in terms of b. Cumulative frequency

A group of 120 students sat a history exam. The cumulative frequency graph shows the scores obtained by the students. 120- 100 80 60 40 20 20 40 60 80 100 Examination score (a) Find the median of the scores obtained. The students were awarded a grade from I to 5, depending on the score obtained in the exam. The number of students receiving each grade is shown in the following table. Grade 2 3 Number of students 13 26 9. (b) Find an expression for a in terms of b. Cumulative frequency

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
Section10.3: Measures Of Spread
Problem 8PPS
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A group of 120 students sat a history exam. The cumulative frequency graph shows the scores obtained by the students. 120 100 80 60 40 20 20 40 60 80 100 Examination score (a) Find the median of the scores obtained. The students were awarded a grade from I to 5, depending on the score obtained in the exam. The number of students receiving each grade is shown in the following table. 2 3 4 3 Grade Number of students 13 26 (b) Find an expression for a in terms of b. (This question continues on the following page) Cumulative frequency
Transcribed Image Text:A group of 120 students sat a history exam. The cumulative frequency graph shows the scores obtained by the students. 120 100 80 60 40 20 20 40 60 80 100 Examination score (a) Find the median of the scores obtained. The students were awarded a grade from I to 5, depending on the score obtained in the exam. The number of students receiving each grade is shown in the following table. 2 3 4 3 Grade Number of students 13 26 (b) Find an expression for a in terms of b. (This question continues on the following page) Cumulative frequency
(Question 9 continued) (c) The mean grade for these students is 3.65. (i) Find the number of students who obtained a grade 5. (ii) Find the minimum score needed to obtain a grade 5.
Transcribed Image Text:(Question 9 continued) (c) The mean grade for these students is 3.65. (i) Find the number of students who obtained a grade 5. (ii) Find the minimum score needed to obtain a grade 5.
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