Thursday, 8 June 2017

Mean, Median,Mode

WALT: I will identify patterns and trends in context, within and between data sets; communicating findings, using data displays. Find the mean, median, mode and the range which is part of analysing data.
Statistics                                                           name:Sheena

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 divided by 10=5.1
  1. Find the mean in the set of numbers
4,12,5,6,11,9,5=52 divided by 7=7.4
  1. Find the mean in this tally chart: 10,12,4,2=28 divided by 7=4
Pets owned by students
Number of students
Dogs
IIIII IIIII
Cats
IIIII IIIII II
Fish
IIII
Rabbits
II

  1. Find the mean in this set of numbers
24,12,16,18=70 divided by 4=17.5
  1. Find the mean in this set of numbers
5,9,12,4,10,7=47 divided by 6= 7.8
  1. 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=3.3

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, 14 is the middle number
  2. 34,42,37,31,40: 37 is the middle number

  1. 101, 167,138,124,198,149,  143 is the middle number

  1. 54, 58,52,57,53,60, the middle number is 55.5

  1. 1001, 1094, 1023, 1065, 1038, 1027, 1042: the middle number is 1038

  1. 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


The middle number from the tally chart from above is: 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 the most common numbers are 5 and 3
  2. 1, 5, 3, 2, 9 ,4, 1, 6, 8, 0, the most common number is 1
  3. 23, 45, 78, 12, 45, 67, 32, 46, 93, 12, the most common numbers are 45 and 12
  4. 101, 121, 123, 145, 167, 121, 139, 145, 176, the most common numbers are 121 and 145
  5. 394, 273, 219, 294, 183, 291, 273, 288, 271, the most common number is 273





Find the Range in these number:
  1. 32,41,37,34,40: 41-32=9
  2. 100,92,96,94,98: 100-92=8
  3. 72,79,76,74,69,80: 80-69=11
  4. 54,57,52,55,58: 58-52=6
112,125,115,111,120: 125-111=14

1 comment:

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