Subjects statistics

Mean Median Mode 723Fb0

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1. **Problem:** Given the sample measurements 27, 32, 30, 28, 30, 32, 35, 28, 32, 29, compute the mean, median, and mode. 2. **Mean formula:** The mean is the sum of all values divided by the number of values. 3. **Calculate the mean:** $$\text{Mean} = \frac{27 + 32 + 30 + 28 + 30 + 32 + 35 + 28 + 32 + 29}{10}$$ $$= \frac{303}{10} = 30.3$$ 4. **Median:** Arrange the data in ascending order: $$27, 28, 28, 29, 30, 30, 32, 32, 32, 35$$ Since there are 10 values (even number), median is the average of the 5th and 6th values: $$\text{Median} = \frac{30 + 30}{2} = 30$$ 5. **Mode:** The mode is the value that appears most frequently. Here, 32 appears 3 times, which is more than any other number. $$\text{Mode} = 32$$ **Final answers:** - Mean = 30.3 - Median = 30 - Mode = 32