Find the mean, median and mode of 4, 8, 15, 16, 23, 42

Problem: Find the mean, median, and mode of the dataset $4, 8, 15, 16, 23, 42$.

Steps

1. Sort the data (already in ascending order)
   $$4, 8, 15, 16, 23, 42$$
2. Calculate the mean by summing all values and dividing by the total count $n = 6$
   $$\text{Mean} = \frac{4 + 8 + 15 + 16 + 23 + 42}{6} = \frac{108}{6} = 18$$
3. Calculate the median by finding the average of the two middle numbers ($15$ and $16$) since the count is even
   $$\text{Median} = \frac{15 + 16}{2} = \frac{31}{2} = 15.5$$
4. Find the mode by identifying the most frequently occurring value
   $$\text{Mode} = \text{No mode (all numbers appear exactly once)}$$