Nội dung text WK10 - Y5 - MATH - HW - DATA & STATISTICS - AN.docx.pdf
Step 1: There are 7 employees with 9 working hours which is the greatest number of employees for a class of working hours. Step 2: So, the mode of the working hours is 9 hours. Answer: D. 9 hours Question 8: The combined length of the 6 caterpillars is 6 × 8.4 = 50.4 cm When 1 caterpillar is discarded, the average length becomes 8.4 - 1 = 7.4 cm. The combined length of the 5 remaining caterpillars is 5 × 7.4 = 37 cm Therefore, the length of the discarded caterpillar is 50.4 - 37 = 13.4 cm Answer: E. 13.4 centimetres Question 9: Step 1: The average of 2, 11, -2, 1, 3, M, and N is 4. (2 + 11 - 2 + 1 + 3 + M + N)/7 = 4 15 + M + N = 4 * 7 M + N = 28 - 15 = 13. Step 2: M = N = 13/2 = 6.5. Arrange the numbers in increasing order: -2, 1, 2, 3, 6.5, 6.5, 11. The middle term is 3. So, the median of 2, 11, -2, 1, 3, M, and N is 3. Answer: C. 3 Question 10: Step 1: The average of the first 10 positive multiples of 2 is A, and the range of the first 10 multiples of 2 is R. The first 10 positive multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20. Step 2: A = (2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20)/10 = 110/10 = 11. R = 20 - 2 = 18. The value of R - A = 18 - 11 = 7. ©Scholarly 2025. All rights reserved. All digital content and materials provided are proprietary and protected under copyright law. Any reproduction or sharing of digital files, including screenshots, recordings, or downloads, is strictly prohibited without the prior written consent of Scholarly. 3