Suppose f is an increasing function and that f assigns the following values:
f(9) = 9, f(10) = 10, f(7) = 5, f(3) = – 4, f(5) = 3 and f(4) = – 1.

A value between 3 and 5 (exclusive of both) will do.

Example: You could choose 4 as a possible value.

Step-by-step explanation:

means you have the ordered pair (9,9) on your graph.

means you have the ordered pair (10,10) on your graph.

means you have the ordered pair (7,5) on your graph.

means you have the ordered pair (3,-4) on your graph.

means you have the ordered pair (5,3) on your graph.

means you have the ordered pair (4,-1) on your graph.

Since f is increasing f(6) can be any value between 3 and 5, exclusive.

So you can assign any value for such that . We cannot conclude with out further information what value between 3 and 5, exclusive.

two data sets with the same median will not have the same varaibility

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: