1.) The mode is the number that's most frequent in a given list. In our list, we have 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10. Our most frequent number is 6; therefore, our mode is 6.
2.) The median is the number in the middle of a list organized from least to greatest. 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10; 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9; 4, 5, 5, 5, 6, 6, 6, 6, 7; 5, 5, 5, 6, 6, 6, 6; 5, 5, 6, 6, 6; 5, 6, 6; 6. 6 is our median.
I hope this helps, despite your answer choices not providing the correct answer.
: Let y = f(x) = x^1/3 Then dy = 1/3*x^(−2/3) dx Since f(64) = 4. We take x = 64 and dx = ∆x = 1 This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48 ∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span> </span>