Using a graphing calculator, find the mean and standard deviation of the following data set. Round to the nearest tenth.
Data Set: 68, 75, 69, 78, 85, 93, 92, 97, 71, 77, 64, 73, 91, 82, 95, 67, 78, 94, 91, 62
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To find the mean and standard deviation of the given data set using a graphing calculator, follow these steps:
1. Input the Data: Enter your data set (68, 75, 69, 78, 85, 93, 92, 97, 71, 77, 64, 73, 91, 82, 95, 67, 78, 94, 91, 62) into a list in your calculator.
2. Calculate the Mean:
– The mean is calculated by adding all the values and dividing by the number of values.
– For your data set: Mean = (Sum of all values) / (Number of values).
3. Calculate the Standard Deviation:
– The standard deviation can be calculated using the calculator’s statistics function.
– Look for the function labeled as “Stats” or “1-var Stats” depending on the model of your calculator.
4. Round the Results: Once you have the mean and standard deviation, make sure to round both values to the nearest tenth.
Expected Results:
– Mean: 78.3
– Standard Deviation: 9.3
These calculations provide a summary of the central tendency and dispersion of your data set. If you need more detailed procedures or functions of your specific calculator, feel free to ask!