Question

The graph below shows the cumulative relative frequency graph for the hair lengths of all AP Statistics students at Podunk High School: True or false: 90% of these students have a hair length of at least 62 cm

Answer 1

Answer: False

Explanation

90% = 0.9

Draw a horizontal line through 0.9 on the y axis. This horizontal line appears to intersect the curve somewhere between x = 60 and x = 65. When I made the graph larger, the graph gets more pixelated and blurry, so I cannot say for sure where this exact intersection is located. Regardless, it appears that x = 62 is where the intersection could be.

The claim "90% of these students have a hair length of at least 62 cm" is false because the "at least" should be changed to "at most".

If the claim was "90% of these students have a hair length of at most 62 cm", then the claim would be true (assuming x = 62 is where the intersection occurs).

Side note: 62 cm = 24.409 inches approximately, which is a little over 2 feet.

Answer 2

false

Explanation:

The 90% is the pink shaded area, so 90% of them have hair of at least 5cm,

whereas only 10% (the blue shaded area) have hair of at least 62 cm