MAP 4C – Unit 1: Working with Data
Lesson 3b: Calculations in Statistics
Date: ________________
156, 154, 158, 160, 159, 202
1. Calculate the mean.
2. Calculate the median.
3. Why are they different?
4. What percent of the class is shorter than each measure of central tendency?
% scoring less than mean =
% scoring less than the median =
5. Matt is taller than 83% of the class. How many students are shorter than he is?
What is Matt’s height?
6. Find the quartiles of the data.
7. Determine the inter quartile range.
76 76 98 34 78 67 92 83 54 87 65 64 77
70 83 92 76 45 21 99 93 88 82 59 44 84
83 86 76 88 44 99 44 90 77 72 74 78 77
1. What percentile did someone who received a mark of 84 score in?
2. What mark did someone receive who scored in the 72nd percentile?
MAP 4C – Unit 1: Working with Data
Lesson 3b: Calculations in Statistics
Date: ________________
Homework:
1. Below are the marks of 8 students
70, 71, 73, 74, 68, 72,71, 12
a) Calculate the mean.
b) Calculate the median.
c) Why are they different?
2. What percent of the class scores below each measure of central tendency?
% scoring less than mean =
% scoring less than the median =
3. Tamara's mark is higher than 63% of the class.
a) What percentile does she fall into?
b) How many students score less than she does?
c) What is Tamara’s score?
4. Find the quartiles of the data.
5. Determine the inter quartile range.
6.
Below is a list of 20 marks.
74, 77, 35, 82, 91, 55, 56, 73, 72, 71
51, 99, 83, 78, 79, 62, 65, 56, 87, 88
39, 41, 93, 84, 75, 65, 67, 90, 80, 70
a) What percentile did someone who received a mark of 80 score in?
b) What mark did someone receive who scored in the 73rd percentile?