SPM 2017 Add Maths Paper 1, Question 20Statistics

Solved on video in English and Bahasa Melayu · 4 marks · Older syllabus, Statistics · 6:24 video

The question

Table 1 shows the distribution of marks for 40 students in an Additional Mathematics test. The number of students for the class interval 40-59 is not stated. (a) State the modal class. (b) En. Idzam, the subject teacher, intends to give a reward to the top ten students. Those students who achieve the minimum mark in the top ten placing will be considered to receive the reward. Erica obtains 74 marks. Does Erica qualify to be considered to receive the reward? Give your reason.

[4 marks]

SPM 2017 Add Maths Paper 1, Question 20: the question as drawn in Eduly's video6:24

Step 1

The total is 40 students: 4 + 10 + x + 8 + 7 = 40, so x + 29 = 40, giving x = 11 (the missing frequency for class 40-59).

Why this step

The table has a blank, so we use the total of 40 to fill it in first. The modal class and the ranking both depend on it.

5 more steps, each with the reason for it, in the full solution

Final answer

(a) Modal class = 40-59; (b) Yes, Erica qualifies (74 > 72)

Where students lose marks

Watch out: find the missing frequency (11) first, and use rank 30, not 31, when finding the cut-off mark.

Watch every step of this question solved on video (6:24), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.

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