Here are the iq scores of 10 randomly chosen fifth-grade students: 145,139,126,122,125,13,96,110,118,1 18. true or false if the value 96 were removed from the data set, the iqr of the remaining 9 iq scores would be lower than the iqr of all 10 scores.

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.