Cambridge Statistics Problems

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Monday, June 15, 2015
Solve it!
Statistics Objectives:
Calculate measures of central tendency
Schedule:
This week: Mean, Median and Mode for ungrouped data
Next week: Mean, Median, and Mode for grouped data
Measures of Central Tendency show the “middles” of a data set
Measure
Mean
Median
Mode
Range
Key word
to
remember
Average
Middle
Definition
Sum of all data values
# of data values
Example for data set:
1, 2, 3, 3, 4, 5, 5, 9
32 / 8 = 4
For data listed in order
small to large, it is the
value in the middle
1, 2, 3, 3, 4, 5, 5, 9
Most
The data value which
occurs the most frequently
3 and 5
HiLo
The difference between
the highest and lowest
value
9-1 = 8
(3+4)/2 = 3.5
Activity:
First:
1. Go outside and pick two leaves. Bring them back to
the classroom.
Next:
2. Measure the length of each leaf, to the nearest ½ cm
(i.e. 9, 9.5, 10, 10.5, etc.) and write them in order from
smallest to largest in a table
Leaf
lengths
(smallest
to
largest)
4. Fill in the table below, using your data
Leaf Length Data
Measure
Work
Solution
Mean
Median
Mode
Range
Answer the questions
1. How do your mean and median compare?
2. Does your range seem large or small? What does this tell you about your
leaves?
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