END OF YEAR EXAMINATION(EOYE) - MAY 2019
Candidate Name:
Subject : Mathematical Studies
Level : SL
Paper : 2
Duration : 90 min
Date : 14th May, 2019
Max. Marks : 90
SUBJECT TEACHER
TIME TAKEN TO COMPLETE THE EXAM
Instructions to Candidates:
o Write your name in the box above.
o Do not open this examination paper until instructed to do so.
o A graphic display calculator is required for this paper.
o Answer all questions.
o Unless otherwise stated in the question, all numerical answers should be given exactly or
correct to three significant figures.
o The maximum mark for this examination paper is [90 marks].
Additional Materials:
Graph Papers, Mathematical Studies SL formula booklet, Ruled answer sheets
Calculator: Allowed
This question paper consists of 5 printed pages (including cover page)
Page 1 of 5
, Maximum marks will be given for correct answers. Where an answer is wrong, some marks may be
given for correct method, provided this is shown by written working. Working may be continued below
the box, if necessary. Solutions found from a graphic display calculator should be supported by suitable
working. E.g. if graphs are used to find a solution, you should sketch these as part of your answer.
1. The table below shows the time, in minutes, taken to complete a Statistics test by a group of 100
students.
Time, t (min) Frequency Cumulative Frequency
10 ≤ t < 20 21 21
20 ≤ t < 30 38 59
30 ≤ t < 40 31 𝑥
40 ≤ t < 45 10 100
a. Write down the value of x. [1]
b. Use the time interval midpoints to estimate the average time taken to complete the test, and
give justification, as to why are we estimating the mean. [3]
The time taken to complete the test is displayed on the cumulative frequency graph below.
c. Estimate the median time of test completion. [2]
d. Estimate the number of students that spend at least 30 minutes on the test. [2]
e. Calculate the interquartile range. [2]
Page 2 of 5
Candidate Name:
Subject : Mathematical Studies
Level : SL
Paper : 2
Duration : 90 min
Date : 14th May, 2019
Max. Marks : 90
SUBJECT TEACHER
TIME TAKEN TO COMPLETE THE EXAM
Instructions to Candidates:
o Write your name in the box above.
o Do not open this examination paper until instructed to do so.
o A graphic display calculator is required for this paper.
o Answer all questions.
o Unless otherwise stated in the question, all numerical answers should be given exactly or
correct to three significant figures.
o The maximum mark for this examination paper is [90 marks].
Additional Materials:
Graph Papers, Mathematical Studies SL formula booklet, Ruled answer sheets
Calculator: Allowed
This question paper consists of 5 printed pages (including cover page)
Page 1 of 5
, Maximum marks will be given for correct answers. Where an answer is wrong, some marks may be
given for correct method, provided this is shown by written working. Working may be continued below
the box, if necessary. Solutions found from a graphic display calculator should be supported by suitable
working. E.g. if graphs are used to find a solution, you should sketch these as part of your answer.
1. The table below shows the time, in minutes, taken to complete a Statistics test by a group of 100
students.
Time, t (min) Frequency Cumulative Frequency
10 ≤ t < 20 21 21
20 ≤ t < 30 38 59
30 ≤ t < 40 31 𝑥
40 ≤ t < 45 10 100
a. Write down the value of x. [1]
b. Use the time interval midpoints to estimate the average time taken to complete the test, and
give justification, as to why are we estimating the mean. [3]
The time taken to complete the test is displayed on the cumulative frequency graph below.
c. Estimate the median time of test completion. [2]
d. Estimate the number of students that spend at least 30 minutes on the test. [2]
e. Calculate the interquartile range. [2]
Page 2 of 5
