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Find the mean and standard deviation of the following frequency distribution table.

a) Mean: 35, Standard Deviation: 5
b) Mean: 40, Standard Deviation: 7
c) Mean: 45, Standard Deviation: 10
d) Mean: 50, Standard Deviation: 12

1 Answer

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Final answer:

An accurate calculation of mean and standard deviation requires the specific frequency distribution data, which is not provided in the question. Therefore, no correct answer can be determined from the given options without additional information.

Step-by-step explanation:

To calculate the mean and standard deviation of a frequency distribution table, it is necessary to have the actual frequency distribution data. Without the data, it's not possible to compute these statistics accurately. The options provided (a, b, c, d) seem to be potential answers to a question involving calculation of mean and standard deviation from such a table, however, without the specific data values and their frequencies, we cannot determine which, if any, of the options is correct. Hence, I can't confidently provide an answer to the question as it stands.

In general, the mean for a frequency distribution is calculated using the formula: Mean of Frequency Table = Σ fm / Σf, where 'f' is the frequency of each data value and 'm' is the mid-point value of each class or the actual data value if not grouped. The standard deviation can be found via the square root of the variance, where variance is the average squared difference between each data value and the mean, multiplied by their corresponding frequency. In summary, without the actual data, a correct calculation of these statistics cannot be provided.

User Hugh Perkins
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