Questions: Find the mean, (b) median, (c) mode, and (d) midrange for the given sample data. 2, 3, 3, 4, 4, 5, 5, 5, 6, 8 (Round to the nearest tenth as needed.)

Solution Steps

The mean is calculated by summing all the values in the dataset and dividing by the number of values.
Given the dataset: \( 2, 3, 3, 4, 4, 5, 5, 5, 6, 8 \),
Sum of values: \( 2 + 3 + 3 + 4 + 4 + 5 + 5 + 5 + 6 + 8 = 45 \),
Number of values: \( 10 \),
Mean: \( \frac{45}{10} = 4.5 \).

The median is the middle value of an ordered dataset.
Since there are \( 10 \) values (an even number), the median is the average of the 5th and 6th values.
Ordered dataset: \( 2, 3, 3, 4, 4, 5, 5, 5, 6, 8 \),
5th value: \( 4 \),
6th value: \( 5 \),
Median: \( \frac{4 + 5}{2} = 4.5 \).

The mode is the value that appears most frequently in the dataset.
In the dataset \( 2, 3, 3, 4, 4, 5, 5, 5, 6, 8 \),
The value \( 5 \) appears \( 3 \) times, which is more frequent than any other value.
Mode: \( 5 \).

Final Answer