The heights of the starting players on each of two basketball teams are shown in the table below.
heights of starters on team a and team b
team a
70 in.
72 in.
75 in.
68 in.
70 in
team b
71 in.
73 in.
71 in.
72 in.
73 in.
jacob found that the mean height of team a is 71 and the mean height of team b is 72. he believes that because team b
has a greater mean, it also has a greater mean absolute deviation. which explains jacob's error?
o one of the means is incorrect, but the reasoning is correct.
o both of the means are incorrect, and the reasoning is also incorrect.
o both of the means are correct, but the reasoning is incorrect.
o one of the means is incorrect, and the reasoning is also incorrect.

C

Step-by-step explanation:

Honestly, just calculate both means. After you do that, you notice the means are correct. And the only answer choice saying both means are correct is C.

But more detailed, the MAD and the Mean don't really have anything special together, the MAD focuses on the difference between the mean and EACH VALUE in the tables. So even if the mean is larger, the MAD may be smaller because the difference between the values in the table and the mean may be small.

C. Both of the means are correct, but the reasoning is incorrect.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus