Grade 12 · lesson 2 of 4

Read a Tail Observation as well as an Average

Compare the maximum recorded latency with the average rather than replacing one measure with the other.

About 22 minutes, plus any extended practice

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Supplied materials

  • Paper and pencil; answers may also be spoken or typed.
  • All cases, labels, numbers and rules are supplied on this page. No real account, private information or purchase is needed.

Learn the idea

An average latency can hide a slow request. Looking at the ordered distribution or a maximum reveals another aspect of performance. Our small supplied list is not a validated service benchmark or a percentile guarantee; it simply demonstrates why a single average does not describe every observation.

Compare the maximum recorded latency with the average rather than replacing one measure with the other. The maximum in five samples does not certify a production percentile.

Use this supplied case: Paper Python 3 expression: max([1,1,1,1,8]). What value results? The task is to connect the given information to the computing idea. Write a short evidence trail so another learner can reproduce your choice. The simplified case describes the stated model, not every real system.

  1. Represent the supplied worked case with a labeled drawing, table or short trace.
  2. Compare the maximum recorded latency with the average rather than replacing one measure with the other.
  3. Explain why the worked answer fits and why one alternative does not.
  4. Try the new check and practice cases; revisit the stated rule if your evidence does not match.
Worked example

See the method in action

Paper Python 3 expression: max([1, 1, 1, 1, 8]). What value results? The supported answer is 8. Tracing the expression under Python 3 rules gives 8. Compare the maximum recorded latency with the average rather than replacing one measure with the other. The maximum in five samples does not certify a production percentile. An average latency can hide a slow request.

Your turn

Check your reasoning

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Helpful tips
  • Compare the maximum recorded latency with the average rather than replacing one measure with the other.
  • The maximum in five samples does not certify a production percentile.
Paper Python 3 expression: max([2,2,3,2,10]). What value results?

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See the answer and explanation

10

The observations are [2, 2, 3, 2, 10]. In sorted order they are [2, 2, 2, 3, 10]; the largest is 10. Their mean is 19/5=3.8, which answers a different question. Compare the maximum recorded latency with the average rather than replacing one measure with the other.

Take it further

New latencies[2, 2, 2, 2, 12]seconds have mean 20/5=4 and maximum 12. Neither is a certified production percentile.

Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback. It does not include choices from the separate More practice section. Download that section separately.

More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. Paper Python 3 expression: max([1,2,2,3,9]). What value results?
Need a hint?
  • Compare the maximum recorded latency with the average rather than replacing one measure with the other.
  • The maximum in five samples does not certify a production percentile.
2. Paper Python 3 expression: max([3,3,4,3,12]). What value results?
Need a hint?
  • Compare the maximum recorded latency with the average rather than replacing one measure with the other.
  • The maximum in five samples does not certify a production percentile.
3. Paper Python 3 expression: max([2,4,3,2,11]). What value results?
Need a hint?
  • Compare the maximum recorded latency with the average rather than replacing one measure with the other.
  • The maximum in five samples does not certify a production percentile.

Your choices are temporary. Feedback appears after you check all the answers.

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