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Answer :
For the given data, mean = 86.92, median = 87.2 and mode = 101.6.
Let's calculate the arithmetic mean, median, and mode for this data set:
101.6, 97.6, 62.1, 83.8, 101.6, 72.3, 74.2, 85.4, 101.6, 89
1. Arithmetic Mean:
To calculate the mean, we sum all values and divide by the number of values.
Sum = 101.6 + 97.6 + 62.1 + 83.8 + 101.6 + 72.3 + 74.2 + 85.4 + 101.6 + 89 = 869.2
Number of values = 10
Mean = 869.2 / 10 = 86.92
2. Median:
To find the median, we first sort the data in ascending order:
62.1, 72.3, 74.2, 83.8, 85.4, 89, 97.6, 101.6, 101.6, 101.6
With 10 values, the median is the average of the 5th and 6th values:
Median = (85.4 + 89) / 2 = 87.2
3. Mode:
The mode is the value that appears most frequently in the data set.
In this case, 101.6 appears three times, more than any other value.
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