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Zorluk: OrtaMeasures of Central Tendency

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 55-day work week is exactly 3232. If the daily counts from Monday to Thursday were 2828, 3535, 2727, and 3434, how many access attempts were blocked on Friday?

Cevap: 36 attempts

Cevap

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 55 days (32×5=16032 \times 5 = 160), and then subtracting the sum of the four known days (124124) from that total. This yields a required value of 3636 for the final day.

Adım Adım Çözüm

1
Calculate the total sum of access attempts required for all 55 days.
32×5=16032 \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 (NN).
2
Calculate the sum of the known access attempts from the first four days.
28+35+27+34=12428 + 35 + 27 + 34 = 124
We must determine the combined total of the known days before we can find the missing day's value.
3
Subtract the sum of the four days from the required 55-day total to find Friday's count.
160−124=36160 - 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.

Anahtar Kavram

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