Igcse Model Questions Vol1 2022 Mathematics Question 25

Practice objective / multiple choice question 25 from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 25 IGCSE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • objective

The following frequency distribution gives the ages (in years) of participants in a survey. The class mid‑points are shown in parentheses. | Age interval (mid‑point) | Frequency | | 0-9 (4.5) | 5 | | 10-19 (14.5) | \(a\) | | 20-29 (24.5) | 12 | | 30-39 (34.5) | 9 | | 40-49 (44.5) | 4 | The mean age of the whole group is \(24.5\) years. (i) Determine the value of the unknown frequency \(a\). (ii) Using this value, calculate the standard deviation of the distribution, giving your answer to one decimal place.

Answer Options

A. a = 7; standard deviation ≈ 13.2
Correct Answer B. a = 7; standard deviation ≈ 11.9
C. a = 6; standard deviation ≈ 12.3
D. a = 8; standard deviation ≈ 10.5
Correct Answer
B
Correct Option:
a = 7; standard deviation ≈ 11.9

About This Question

This is Igcse Model Questions Vol1 2022 Mathematics Question 25. It is one of the objective questions from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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