VOCAB
Range- Find by this equation: maximum value - minimum value
Mode- Whichever data entry is occurring most frequently
Median- Find by arranging raw data in ascending order, then finding the middle number.
If there is an even number of entries, find the 2 middle numbers’ sum and divide by 2 for
the median.
Mean- Average. Find by adding all entries, then dividing by the total number of entries
Trimmed mean- After putting raw data into ascending order, take x percent off each side
of the organized data value set. For example, if your data is 4, 5, 6, 7, 8, 40. Then your n
value (total number of values) is 6, for 6 values. If the question is asking you to find the
20% trimmed mean, then you would find this equation:
0.20 x 6 = 1.2, or rounded to 1.
So, you take 1 value off each side of your value set, removing 4 and 40. Now, you are left
to find the values of 5, 6, 7, 8. Find the mean of that new set and you have 6.5.
Weighted mean- An average where some values are weighted or count more than others.
Formula : ∑(w i⋅xi)/∑wi
xi=each value
wi=it’s weight
∑(wi⋅xi) = sum of each value times its weight
∑wi= sum of all weights
For example, your score, x is 80%, and it’s worth, w 20% of your grade. Other values are:
90% worth 30%, and 70% worth 10%. So now, you multiply and add:
Range- Find by this equation: maximum value - minimum value
Mode- Whichever data entry is occurring most frequently
Median- Find by arranging raw data in ascending order, then finding the middle number.
If there is an even number of entries, find the 2 middle numbers’ sum and divide by 2 for
the median.
Mean- Average. Find by adding all entries, then dividing by the total number of entries
Trimmed mean- After putting raw data into ascending order, take x percent off each side
of the organized data value set. For example, if your data is 4, 5, 6, 7, 8, 40. Then your n
value (total number of values) is 6, for 6 values. If the question is asking you to find the
20% trimmed mean, then you would find this equation:
0.20 x 6 = 1.2, or rounded to 1.
So, you take 1 value off each side of your value set, removing 4 and 40. Now, you are left
to find the values of 5, 6, 7, 8. Find the mean of that new set and you have 6.5.
Weighted mean- An average where some values are weighted or count more than others.
Formula : ∑(w i⋅xi)/∑wi
xi=each value
wi=it’s weight
∑(wi⋅xi) = sum of each value times its weight
∑wi= sum of all weights
For example, your score, x is 80%, and it’s worth, w 20% of your grade. Other values are:
90% worth 30%, and 70% worth 10%. So now, you multiply and add:
