How to Calculate the Mean, Median, Mode and Range

To find the mean, add all the scores and divide by the number of scores: $(3+5+9+5+8)÷5=30÷5=6$.

The range is found by subtracting the smallest value from the largest value: $10-3=7$.

The mode is the value that occurs most often. Here, 7 appears three times, so it is the mode.

First, sort the scores: $3,5,6,8,8,10$. Since there are an even number of scores, the median is the average of the two middle values: $(6+8)÷2=7$.

After removing 6, the scores are $9,7,10,7,7,8$. Sorted: $7,7,7,8,9,10$. There are 6 scores, so take the average of the two middle values: $(7+8)÷2=7.5$.

The new scores are $5,6,7,7,8,9,100$. The mean increases because the total score increases significantly. The middle value remains 7, so the median stays the same. The mode also stays the same since 7 is still the most frequent value.