What is the standard deviation of successful first serves? Answer to two decimal places.

Question

What is the standard deviation of successful first serves? Answer to two decimal places.

BlackTom AI · Accepted Answer

This task presents a numerical question but provides no answer options to evaluate against. Without a dataset or a list of observed counts or percentages for successful first serves, we cannot verify whether 4.9 is correct.

To understand how to determine the standard deviation in this context, here is the general procedure you would follow when you have a dataset:

- Step 1: Gather the data. Collect the values representing the number or proportion of successful first serves across trials, games, players, or matches. For example, you might have a list like [5, 6, 4, 7, 5, 5, 4].
- Step 2: Decide whether you are computing the population SD or the sample SD. Use population SD when the data represent the entire population of interest; use sample SD when the data are a sample from a larger population.
- Step 3: Compute the mean (average) of the data.
  - Mean = sum(values) / N, where N is the number of observations.
- Step 4: Compute each deviation from the mean and square it: (value - mean)².
- Step 5: Average the squared deviations. For population SD, divide by N. For sample SD, divide by (N - 1).
- Step 6: Take the square root of that average to obtain the standard deviation.
- Step 7: Round to two decimal places as required, e.g., 4.90.

If the data represent percentages of successful first serves, you would typically still compute SD across the observed percentages in the same way, treating each percentage as a data point (e.g., [72.5, 68.0, 75.2, ...]) and then rounding to two decimals.

Because no specific data values or a descriptive context (population vs. sample, unit of measurement, or the exact dataset) are provided here, we cannot justify why 4.9 is the standard deviation for this particular question. If you share the underlying dataset or at least the list of observed values, I can compute and verify the standard deviation exactly and explain each step with the resulting numbers.

BUSI_V 291 202 2024W2 Ch 07 Quiz Level 3

What is the standard deviation of successful first serves? Answer to two decimal places.

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