Note that 72-68 = 4, and that 4 is 2 std. dev. from the mean.
68 would be 2 std. dev. below the mean. Alternatively, we could say that the z-score corresponding to a raw score of 68 is -2.
Using either a calculator with built-in stat. functions, or a table of z-scores, we can find the area under the curve to the left of 68. That area is 0.023.
We could also use the Empirical Rule here. That Rule states that 95% of data whose distribution is normal lie within 2 std. dev. of the mean.
This means that (95%/2), or 47.5% of the data lies between 68 and the mean. To the left of the mean is 0.5 of the total area under the curve. So the percentage of males whose heights are no more than 68 inches is 50% less 45.5%, or 2.5% (answer, just slightly different from the previous result).
Answer:
-1.7
Step-by-step explanation:
Answer:
3 points
Step-by-step explanation:
3 is very different from the other numbers, so it is an outlier.
1,205.76 units^3 or 384 π
<u><em>Here is why:</em></u>
The formula for the volume of a cone is:
We can plug in.
= 1,205.76 units^3
~
If you are looking for the exact answer, we will leave π.
= 384 π
