MEAN MEDIAN MODE
Statistics Name: Myztique
WALT- Identify the mean, median and mode within a collection of data
Activity One
Answer the questions in a different colour
The definition of the mean in a statistical investigation is commonly referred to as the average. It is the total of all the data divided by the amount of data shown.
For example: if we have this range of data 3,5,7,1,2,3,6,8
3+5+7+1+2+3+6+5 = 32 = 4
8 8
- Find the mean in this set of numbers
3,7,8,4,2,6,5,4,3,9 = 5.1
- Find the mean in the set of numbers
4,12,5,6,11,9,5 = 7.3
- Find the mean in this tally chart
Pets owned by students
|
Number of students
|
Dogs
|
IIIII IIIII
|
Cats
|
IIIII IIIII II
|
Fish
|
IIII
|
Rabbits
|
II
|
10,12,4,2 = 12
- Find the mean in this set of numbers
24,12,16,18 = 17.5
- Find the mean in this set of numbers
5,9,12,4,10,7 = 7.5
- CHALLENGE QUESTION: Find the mean within this data, use the frequency table to help you
1,5,5,2,1,2,5,5,5,5,1,2,1,5,5 = 3.5
Score
|
Frequency
|
1
|
4
|
2
|
3
|
5
|
8
|
Total
|
15
|
Activity Two
Answer the questions in a different colour
The definition of the median is the middle number within a set of numbers that have been put in order from size (biggest to smallest or smallest to biggest)
For example: 2,6,4,1,9 = 1,2,4,6,9 and the middle number is 4.
BUT say if there is more than one middle number… the median is found by taking the number midway between the middle pair of numbers:
3,6,1,4,9,2 = 1,2,3,4,6,9 → 3 + 4 = 3.5
2
Find the median in these sets of numbers
- 10,14,17,12,19,11,16 = 14
- 34,42,37,31,40 = 37
- 101, 167,138,124,198,149 = 143.5
- 54, 58,52,57,53,60 = 52 + 57 = 55.5
- 1001, 1094, 1023, 1065, 1038, 1027, 1042 = 1038
- Find the median within this tally chart
Pets owned by students
|
Number of students
|
Dogs
|
IIIII IIIII
|
Cats
|
IIIII II
|
Fish
|
IIII
|
Rabbits
|
IIIII III
|
Hamsters
|
II
|
10,7,4,8,2 = 8
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