MTH1W1
Unit 6 Review
Single Variable Data and Geometry
1. You are given the following set of data representing the scores of 15 students on a
mathematics quiz:
75, 79, 80, 82, 85, 85, 85, 87, 88, 88, 90, 91, 92, 94, 95
Calculate and present the following statistical measures:
a. Mean: Find the mean (average) score of the students.
b. Median: Determine the median score of the students.
c. Mode: Identify the mode(s) of the scores, if any.
d. Box and Whisker Plot: Create a box and whisker plot to visually represent the
distribution of scores.
e. Provide a clear explanation of your calculations and label the components of the
box and whisker plot appropriately (min., Q1, median, Q3, max.)
f. Calculate the Range and the Interquartile Range.
2. Two angles are supplementary, and one of them measures 75°. Find the measure of the
other angle.
3. In a right-angled triangle, one of the angles measures 30°. Find the measure of the
missing angle.
4. In a hexagon, find the sum of the interior angles.
5. In a regular dodecagon, find the measure of each interior angle and exterior angle.
6. How many sides does a polygon have if each of its interior angles measures 150°?
7. Find the measure of the missing inscribed angle AND the central angle. Show your process
and explain your reasoning. (Hint: use a word like “subtended”)
8. Find the measures of the missing angles.
a
b
c
d
e
f
g
h
i
9. Consider triangle ABC. Identify each of the following statements as true or false.
a. 𝐶𝐵 < 𝐴𝐶
b. 𝐴𝐵 > 𝐶𝐵
c. 𝐴𝐶 < 𝐴𝐵 + 𝐶𝐵
d. 𝐴𝐶 + 𝐶𝐵 < 𝐴𝐶
e. 𝐶𝐵 > 𝐴𝐵 + 𝐴𝐶
10. Solve for x.