Tiêu đề WK3 - Y5 - MATH - HW - DATA & STATISTICS - AN.docx.pdf ✅

Question 1: Step 1: The bar graph shows the percentages of boys and girls attending the comic book convention from 2015 to 2018. Step 2: We observe that in the year 2015, the percentage of both the girls and boys attending the comic book convention is 50%. Answer: B. 2015 Question 2: Step 1: The friends' totals were $127, $135, $129, $138, $126, $142, and $134. Step 2: The average is . $127+$135+$129+$138+$126+$142+$134 7 = $931 7 = $133 Answer: B. $133 Question 3: Step 1: The first 10 positive multiples of 2 are- 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. The median is . 10+12 2 = 11 Step 2: The average of the first 10 positive multiples of 2 is- . 2+4+6+8+10+12+14+16+18+20 10 = 110 10 = 11 The difference of the median and average is 11 - 11 = 0. ©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. 1
Answer: C. 0 Question 4: Step 1: The average length of six ropes is 80 centimetres. Then, the total length of 6 ropes is 6 * 80 = 480 cm. 1⁄3 of 6 ropes is 1⁄3 * 6 = 2 ropes. Step 2: The average length of 2 ropes is 70 cm. The total length of these 2 ropes is 70 * 2 = 140 cm. Then, the length of the 4 remaining ropes is 480 - 140 = 340 cm. So, the average length of the remaining 4 ropes is 340/4 = 85 cm. Answer: B. 85 cm Question 5: Step 1: The average mass of the first 4 boxes is kg. 25+31+35+41 4 = 33 Say, the mass of the 5th box is x kg. Step 2: 25+31+35+41+x 5 = 33 132 + x = 5 * 33 x = 165 - 132 x = 33 kg. Answer: B. 33 kg Question 6: Step 1: Dexter’s average score on the first 3 tests is 85 points. Total points scored by him on the first 3 tests is 85 * 3 = 255 points. Step 2: Say, he scored x points on the 4th test and his average score becomes 87 points. 255+x 4 = 87 255 + x = 348 x = 348 - 255 x = 93 ©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. 2
Answer: D. 93 points Question 7: Step 1: When 9 students took a math quiz with a possible score of 0 to 10, inclusive, their average score was 7.5. Then, the total score of 9 students is 9 * 7.5 = 67.5 Step 2: For least possible average score, the 10th student should score 0. Then, the least possible average score is . 67.5+0 10 = 6. 75 Answer: B. 6.75 Question 8: Step 1: The average age of Fred, Daphne, and Velma is 11 years. Then, the total age of Fred, Daphne, and Velma is 11 * 3 = 33 years. Step 2: Daphne is 20 years old. Then, the total age of Fred and Velma is 33 - 20 = 13 years. So, the average age of Fred and Velma is 13/2 = 6.5 years. Answer: A. 6.5 years Question 9: Step 1: The average of 1, 2, and 6 is . 1+2+6 3 = 3 The median of 1, 2, and 6 is 2. The range of 1, 2, and 6 is 6 - 1 = 5. Step 2: The sum of the average, median, and range of 1, 2, and 6 is 3 + 2 + 5 = 10. Answer: E. 10 Question 10: Step 1: The average age of Huey and Dewey is 60 years. ©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
Huey + Dewey = 60 * 2 = 120 years. The average age of Louie and Dewey is 80 years. Louie + Dewey = 80 * 2 = 160 years. Step 2: Louie + Dewey - (Huey + Dewey) = 160 - 120. Louie - Huey = 40 years. Answer: B. 40 years Question 11: Step 1: Dee Dee's scores on four practice tests are 650, 700, 630, and 640. Say, the score on the 5th test is x. Step 2: 650+700+630+640+x 5 = 660 2620 + x = 5 * 660 x = 3300 - 2620 x = 680. Answer: B. 680 Question 12: Step 1: From the graph we observe that the change in annual sales is greatest in the year 2018 as compared to the annual sales in 2017. Answer: C. 2018 ©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. 4