A cybersecurity analyst is monitoring the number of unauthorized access attempts blocked b… — Armed Services Vocational Aptitude Battery (ASVAB)

A cybersecurity analyst is monitoring the number of unauthorized access attempts blocked by a firewall each day. The mean number of blocked attempts for the entire $5$ -day work week is exactly $32$ . If the daily counts from Monday to Thursday were $28$ , $35$ , $27$ , and $34$ , how many access attempts were blocked on Friday?

Answer: 36 attempts

Answer

The firewall blocked 36 access attempts on Friday.

The correct answer is found by determining the total sum required to achieve the target mean for

5

days (

32 \times 5 = 160

), and then subtracting the sum of the four known days (

124

) from that total. This yields a required value of

36

for the final day.

Step-by-Step Solution

Calculate the total sum of access attempts required for all

5

days.

32 \times 5 = 160

The mean is equal to the total sum divided by the number of values. Therefore, the total sum is the mean multiplied by the number of values (

N

Calculate the sum of the known access attempts from the first four days.

28 + 35 + 27 + 34 = 124

We must determine the combined total of the known days before we can find the missing day's value.

Subtract the sum of the four days from the required

5

-day total to find Friday's count.

160 - 124 = 36

The difference between the overall required total and the sum of the known values represents the exact value needed for the final day.

Key Concept

Calculating a missing value from a data set when given the arithmetic mean and the remaining values.

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