Mean Median IQR and MAD Test – Grade 6 Math (Printable PDF)

Question 1 Mean and median (2 points)

Find the mean and the median of 14, 9, 21, 12 and 24.

(1 point each)

Question 2 Median and range (2 points)

Find the median and the range of 31, 28, 35, 40, 26 and 36.

(1 point each)

Question 3 Mean and MAD from a dot plot (3 points)

The dot plot shows the songs 10 students downloaded.

1. Find the mean. (1 point)
2. Find the mean absolute deviation. (2 points)

Question 4 Quartiles (3 points)

Consider the values 12, 15, 17, 18, 22, 25, 27 and 30.

1. Find the median. (1 point)
2. Find Q1 and Q3. (1 point)
3. Find the IQR. (1 point)

Question 5 Missing score (2 points)

The mean of four quiz scores is 84. Three of the scores are 80, 92 and 78. Find the fourth score.

Question 6 Adding an outlier (3 points)

The scores 70, 72, 75, 78 and 80 are joined by a new score of 15.

1. Find the mean and the median before the new score. (1 point)
2. Find the mean and the median after the new score. (1 point)
3. Which measure changed more? (1 point)

Question 7 Choosing a measure (3 points)

Six employees at a shop earn $30,000, $32,000, $33,000, $35,000, $36,000 and $134,000.

1. Find the mean salary. (1 point)
2. Find the median salary. (1 point)
3. Which measure better describes a typical salary? Explain. (1 point)

Question 8 Comparing two teams (2 points)

The box plots show points scored by two teams.

1. Which team has the greater median? (1 point)
2. Which team has the greater IQR? (1 point)