Please check these - as we were told they were wrong by a teacher:
Find the mean, mode, median and range of the following 2 problems.
1. 70,31,13,12,31,53
mean - 35
median - 31
mode - 31
range - 58
2. 50,47,50,31,37,51,34,72,15
mean- 43
median - 47
mode - 50
range - 57
If I am wrong please tell me what I did wrong so I know...thank you
I agree with all of your answers.
Thank you Ms. Sue....
You're welcome, Cassie.
The calculations you provided for both problems are correct. Here's a step-by-step explanation of how to find the mean, mode, median, and range for each problem:
Problem 1: 70, 31, 13, 12, 31, 53
1. Mean: To find the mean, add up all the numbers and divide the sum by the total count. (70 + 31 + 13 + 12 + 31 + 53) ÷ 6 = 210 ÷ 6 = 35.
2. Mode: The mode is the number(s) that appears most frequently in the dataset. In this case, the number 31 appears twice, which is more frequently than any other number. Therefore, the mode is 31.
3. Median: To find the median, arrange the numbers in ascending order and find the middle number. If there is an even count, take the average of the two middle numbers. The numbers in ascending order are 12, 13, 31, 31, 53, 70. Since there are six numbers, the two middle numbers are 31 and 31. Therefore, the median is (31 + 31) ÷ 2 = 31.
4. Range: The range is the difference between the largest and the smallest numbers in the dataset. In this case, the largest number is 70, and the smallest is 12. Therefore, the range is 70 - 12 = 58.
Problem 2: 50, 47, 50, 31, 37, 51, 34, 72, 15
1. Mean: Add up all the numbers and divide by the total count. (50 + 47 + 50 + 31 + 37 + 51 + 34 + 72 + 15) ÷ 9 = 387 ÷ 9 ≈ 43.
2. Mode: The number 50 appears most frequently (two times) in the dataset, making it the mode.
3. Median: Arrange the numbers in ascending order: 15, 31, 34, 37, 47, 50, 50, 51, 72. There are nine numbers, so the middle number is the fifth one, which is 47. Therefore, the median is 47.
4. Range: The largest number is 72, and the smallest is 15, so the range is 72 - 15 = 57.
Based on your provided calculations, it seems like your answers are correct and aligned with the correct formulas and methods. If your teacher said they are wrong, it would be helpful to discuss and ask for clarification to understand the discrepancy.