1.
35, 56, 34, 44, 52, 12, 34, 45
Mean:
Median:
Mode:

Mean x¯¯¯39

Median x˜39.5

Mode34

Step-by-step explanation:

Mean: 39

Median: 39.5

Mode: 34

c

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.