**How many Children are Sexually Abused in the U.S.?**First, we will find how many children are sexually abused in one given year in the United States, and use that calculation, along with calculations of the likelihood of sexual abuse at any given age and the likelihood of a child to be a repeat victim, to predict how many children will become victims of CSA before or during age 18.

The first and most important part of this research is to know how many children there are in the U.S. According to the U.S. Census, there was exactly 323,426,981 people in the U.S. as of July 4th, 2016, and about 23.24% of the total population was 17 years or younger (

https://www.census.gov/popclock/). To find the total population of people 17 or younger in the U.S. in 2016, we use the following calculations:

0.2324 (323,426,981) = x

75,164,430 = x or 75.16 (10^6) =x

There are approximately 75.16 million children in the U.S. The next step is to find out how many children are sexually abuse every year in the United States. According to the document, Child Maltreatment 2016, published by the U.S. Department of Health & Human Service, et al., they found that in 2016, there were 676,000 victims of all forms of child abuse, and 8.5% of child abuse victims were victims of CSA (U.S. Department of Health & Human Service, et al., 18,

https://www.acf.hhs.gov/sites/default/f ... cm2016.pdf). 51% of victims were girls, and 48.6% of victims were boys. Since this is not a significant difference, we will calculate them as the same for both genders. To find the number of CSA victims in 2016, we use the following equation:

0.085 (676,000) = y

57,460 = x or 5.7 (10^4) = y

Approximately 57 thousand children experience CSA every year. If we use the following calculation, we can find out the approximate probability that any given child will be a result of CSA in any given year by using the total child population in the U.S. in 2016 [75.16 (10^6)], and total child victim population of 2016 [5.7 (10^4)].

[5.7 (10^4)] / [75.16 (10^6)] = z

0.00075838 = z or 7.6 (10^-4) = z

(76/4) / (100,000/4) = z

19/25,000 = z or 0.076% = z

Approximately 19 out of every 25,000 children in 2016 were victims of child abuse. If we were to simplify this to a 1/? fraction such as most other statistics, the best whole number we could is calculated using this equation:

(20/20) / (25,000/20) = a

1/1,250 = a or 0.0008 = a

The quality of this estimate can be compared to the actual like so:

0.0008 = |0.00076 + b|

0.0008 - 0.00076 = |0.00076 - 0.00076 + b|

0.00004 = b or 0.004% = b

Approximately 1 in every 1,250 children of a random age between 0 and 18 were victims of CSA in one given year being calculated with the likelihood of the year of 2016 in the U.S. The problem with this is that not all victims of child abuse are new victims of child abuse so this number, although it is an accurate representation of how many victims there were of CSA in one year, is not an accurate representation of how many non-previously abused children will be victims of CSA in any given year.

According to Child Maltreatment 2016, only 469,307 abused children in 2016 were not previously abused (U.S. Department of Health & Human Service, et al., 34,

https://www.acf.hhs.gov/sites/default/f ... cm2016.pdf). This means that 30.68% of victims of CSA were not new victims, and 69.32% of CSA victims in 2016 were new victims. Using this number, we will calculate a and b using the same formulas:

0.085 (469,307) = y

39,891 = x or 4.0 (10^4) = y

______

[4.0 (10^4)] / [75.16 (10^6)] = z

0.00053220 = z or 5.3 (10^-4) = z or

53/100,000 = z or 0.053% = z

______

(55/5) / (100,000/5) = n

11/20,000 = n or 0.00055 = n

(10/10) / (20,000/10) = a

1/2,000 = a or 0.0005 = a

0.0005 = |0.00053220 + b|

0.0005 - 0.00053 = |0.00053 - 0.00053 + b|

0.00003 = b or 0.003% = b

This shows the likelihood of a child becoming a victim of CSA in one year (2016).

According to Child Maltreatment 2016, there was approximately the same number of victims 2016 as in 2012 (

https://www.acf.hhs.gov/sites/default/f ... cm2016.pdf). Using this, we can assume that this trend will continue, and we can assume that there will be the same likelihood of a child become a victim of CSA over the next several years.

To complete the calculation, we must multiply the value of "a" by 18 since children have that many years of childhood to find the likelihood that any given, non-previously abused, child will become a new victim of CSA before their 18th birthday.

.0005 (18) = c

.009 = c or 9/1000

we will estimate this most accurately by rounding up to 10.

(10/10) / (1,000/10) = a

1/100 = a or 0.01 = a

0.01 = |0.009 + b|

0.01 - 0.009 = |0.009 - 0.009 + b|

0.001 = b or 0.1% = b

**How many Victims were Sexually Abused by adults?** According to the U.S. Department of Justice, 23% of child sexual abusers are other children (

https://www.nsopw.gov/en-US/Education/FactsStatistics). This means that the number of children sexually abused by adults is even less. To find this number, we use this calculation:

0.23 (0.009) = d

0.00207 = d or 0.002 = d

0.009 - 0.002 = e

0.007 = e or 7/1000 = e

This percentage of 23% can be used to calculate the same probability on the other statistics as-well.