M.M.M - Mean, Median, Mode

Statistics                                                   name: Myztique and Anna

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

1. Find the mean in this set of numbers

3+7+8 +4+2+6+5+4+3+9 = 51 ➗ 10 = 5 r 1

                                               

           Find the mean in the set of numbers

4+12+5+6+11+9+5 = 52  ➗ 7 =  7 r 3

2. 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 = 28 ➗ 4 =  7

3. Find the mean in this set of numbers

24+12+16+18 = 70 ➗ 4 = 17 r 2

4. Find the mean in this set of numbers

5+9+12+4+10+7= 47 ➗ 6 = 7 r 5

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 = 50 ➗ 15 = 3 r 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

1. 10,14,17,12,19,11,16

10,11,12,14,16,17,19 - the middle number is 14

2. 34,42,37,31,40  

31, 34,37,40,42 - the middle number is 37

3. 101, 167,138,124,198,149

101, 124, 138,149, 167, 198 - the middle number is 143.5

4. 54, 58,52,57,53,60

53,53,54,57,58,60 - the middle number is 55.5

5. 1001, 1094, 1023, 1065, 1038, 1027, 1042

1001, 1023, 1027, 1038, 1042, 1065, 1094 - the middle number is 1038

6. 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

2 ,4, 7, 8 , 10 = 7

Activity Three

The mode is the most frequent number in a set of data. The number that occurs most often.

For example: In a set of numbers 3, 7, 8, 4, 2, 6, 5, 4, 3, 9 there is two modes, 3 and 4 because they appear twice in the data set.

Note- There can either be 0, 1 or 2 modes. If there are 3 or more numbers occur the same
number of times, there is no mode.

Find the mode in these sets of numbers

1. 2, 1, 5, 3, 7, 8, 5, 3 ,9 = 3 and 5
2. 1, 5, 3, 2, 9 ,4, 1, 6, 8, 0 = 1
3. 23, 45, 78, 12, 45, 67, 32, 46, 93, 12 = 12 and 45
4. 101, 121, 123, 145, 167, 121, 139, 145, 176 = 121 and 145
5. 394, 273, 219, 294, 183, 291, 273, 288, 271 = 273

Fractions

#PROBLEM 1:

1/5 of 100 = 20

100 ÷ 5 = 20

20 x 1 = 20

#PROBLEM 2:

3/5 of 100 = 60

100 ÷ 5 = 20

20 x 3 = 60

#PROBLEM 3:

3/4 of 100 = 75

100 ÷ 4 = 25

25 x 3 = 75

  

REFLECTION: 

MOST PROUD OF: We were most proud of finally finishing this maths project.

WHAT WE STRUGGLED WITH:  We struggled agreeing with each other.

WHAT MAKES US FIGURE OUT THE EQUATION: We managed to work together and communicate at the end.

WHAT ARE OUR NEXT STEPS: To get used to working with fractions.

WHICH OF THOSE STEPS WILL COME THE EASTIEST: By sharing all our ideas that we have in mind.

WHERE WILL THE TERRAIN BECOME ROCKY: When they ask questions like, Where did you get your answer from or how? 

WHAT CAN WE DO TO NAVIGATE THE ROAD AHEAD WITH THE MOST SUCCESS: We can help each other and use all our brains to make it a successful class.

*Made by: Myztique, Anna, Ana, Adrienne.*

Maths Reflection

Myztique : So in maths class we had to get in groups of four then our teacher handed out a piece of paper with numbers that lead up to 100, and we had to go one by one and circle each number from one to one hundred. we also took turns circling the number by using a colour pen, we only had three minutes to complete the task. My group was Bryana, Anna, Ana.l and myself.


Anna : Today in maths class we had to get into a group of four and get a piece of paper that has 100 numbers on it. We had three minutes to circle the number from 1 to 100 and had to take turns circling it. In my group I had: Myztique, Bryana, Ana L, and myself when we first tried we only went up to about 40 - 50 then the second time we tried we were the first group to finish which was a great accomplishment. Then we had to get into another group and on that round I was with Adrienne, Faioso, Tevarihi, and myself and on that round we were second to finish.




Bryana : This afternoon we went to our maths class and the first thing we did was our teacher put us into four groups and then she handed out a piece of paper that has 100 numbers on it we only had 3 minutes to complete the task, we had to circle the number with a coloured felt and we took turns circling the number.



Ana.L : In maths we got into groups of four or three and obviously you can see who was in our group. In my group we got to a point where we knew where all the numbers were and we got even quieter as we were finding the numbers. We had to take turns circling the number up to One hundred in three minutes. My overall experience playing was fun. We had times where we would laugh because we couldn't find the number when it was right in front of our eyes... And there were also times where we wouldn't laugh and we would take it serious.