Final answer:
After removing the three numbers (9, 11, 20) from the original eight with a mean of 17, the new mean for the remaining five numbers is 19.2. This result was not listed among the options provided, indicating an error in the question or options.
Step-by-step explanation:
To find the mean of the remaining numbers after discarding three of them, we start by determining the total sum of the original eight numbers using their mean value. Since the mean is 17, the total sum is 8 × 17 = 136. Next, we subtract the sum of the numbers discarded (9 + 11 + 20) from the total, resulting in 136 - 40 = 96. Now, we have 5 numbers left (8 - 3 = 5). To find the new mean, we divide the new total sum by the number of remaining numbers: 96 ÷ 5 = 19.2. However, this answer isn't one of the options provided, suggesting a possible mistake in the calculation or the options given.