Question
The following table shows the distribution of response times (in milliseconds) for a web server over a period of 100 requests:
| Response Time (ms) | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 |
|---|---|---|---|---|---|---|
| Number of Requests | 8 | 15 | 25 | 30 | 12 | 10 |
(a) Calculate the Mean and Median response time.
(b) Calculate the Standard Deviation of the response times.
(c) Draw a Histogram for the given data.
Answer :
Word Count : 331
To solve this step by step using statistical techniques: We are given the frequency distribution of response times. First, calculate class midpoints (x), then use them for mean, median, and standard deviation. | Response Time (ms) | Frequency (f) | Midpoint (x) | f·x | f·x² | | ------------------ | ------------- | ------------ | ---- | ------ | | 0–10 | 8 | 5 | 40 | 200 | | 10–20 | 15 | 15 | 225 | 3375 | | 20–30 ______ ________ _____ _____ _________.
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To solve this step by step using statistical techniques: We are given the frequency distribution of response times. First, calculate class midpoints (x), then use them for mean, median, and standard deviation. | Response Time (ms) | Frequency (f) | Midpoint (x) | f·x | f·x² | | ------------------ | ------------- | ------------ | ---- | ------ | | 0–10 | 8 | 5 | 40 | 200 | | 10–20 | 15 | 15 | 225 | 3375 | | 20–30 ______ ________ _____ _____ _________.
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