Question

15.6 is 24% of what number?

Answer 1

15.6 is 24% of 65

Explanation:

Let's say that 15.6 is 24% of a number x, then we can set up an equation.

NOTE: 24% is equivalent to 24/100

(24/100)x=15.6

Now solve for x:

0.24x=15.6

x=15.6/0.24

x=65

Just to double check, calculate 24% of 65:

(24/100)(65)

=15.6

So, 15.6 is 24% of 65.

Answer 2

Explanation:

About 95% of data lies between 15.6 and 32.4

Explanation:

We are given the following information in the question:

Mean, μ = 2.4

Standard Deviation, σ = 4.2

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.

About 68% of data lies within one standard deviation from the mean.

About 95% of data lies within two standard deviations of the mean.

About 99.7% of data lies within three standard deviation of the mean.

We have to find the percentage of data lying between 15.6 and 32.4

Thus, we have to find the percentage of data lying within two standard deviations of the mean. By Empirical formula about 95% of data lies between 15.6 and 32.4