What is the median score on the exam ?
a) 70
b) 75
c) 77.5
d) 85

b) 75

Step-by-step explanation:

The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.

Therefore, from inspection of the box plot diagram, the median is 75

Additional information

Lower quartile (Q1) = 70

Median (Q2) = 75

Upper quartile (Q3) = 85

IQR = Q3 - Q1 = 85 - 70 = 15

Minimum value = 55

Maximum value = 100

Range = Max - Min = 100 - 55 = 45

answer: what equations are there

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.