Statistics and Data Notes, Study notes of Mathematics

These are preliminary notes for the topic of Statistics and data in Maths.

Typology: Study notes

2022/2023

Uploaded on 04/24/2023

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O r g a n i s i n g a n d d i s p l a y i n g d a t a :
Data means a collection of facts or raw information. Data can be organised and displayed in avariety of
ways so that we can analyse (study) them in more detail.
Some common examples:
Column graph
Sector graph
Divided bar graph
Mostly used for data that are in categories
-
Uses columns to show the quantity or frequency of each category
-
Also called a ‘bar chart’
-
The horizontal axis (going across) shows the categories
-
The vertical axis (going up) shows the frequency
-
Shows parts of a whole in circle form
Uses sectors of a circle to show sizes of parts
Also called a ‘pie chart’ or ‘circle graph
Shows parts of a whole in rectangular form
-
Uses sections of a rectangle to show sizes of parts
-
F r e q u e n c y t a b l e s :
Frequency tables are constructed by arranging collected data in ascending order with their corresponding frequencies
So, a particular data value and then the number of times it occurs (frequency)
You can then go on to find the mean, mode, median and range of a frequency table.
Ex.
= 5
T y p e s o f d a t a :
Statistical data may be in the form of categories or in the form of numbers
These are of the two types of data:
Categorical:
Words that can be grouped into categories (eg. Phone company's or hair colours)
Numerical:
(or quantitative data) are numbers which are describing things that can be counted or measured (eg. The number of goals scored
in a basketball match or someone's height)
Chapter 7: Statistics & Data .
Tuesday, 12 October 2021
5:37 PM
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O r g a n i s i n g a n d d i s p l a y i n g d a t a : Data means a collection of facts or raw information. Data can be organised and displayed in avariety of ways so that we can analyse (study) them in more detail.

  • Some common examples: ○ Column graph ○ Sector graph ○ Divided bar graph - Mostly used for data that are in categories - Uses columns to show the quantity or frequency of each category - Also called a ‘bar chart’ - The horizontal axis (going across) shows the categories - The vertical axis (going up) shows the frequency - Shows parts of a whole in circle form - Uses sectors of a circle to show sizes of parts - Also called a ‘pie chart’ or ‘circle graph - Shows parts of a whole in rectangular form - Uses sections of a rectangle to show sizes of parts F r e q u e n c y t a b l e s :
  • Frequency tables are constructed by arranging collected data in ascending order with their corresponding frequencies
  • So, a particular data value and then the number of times it occurs (frequency)
  • You can then go on to find the mean, mode, median and range of a frequency table. ○ Ex. ○ = 5 T y p e s o f d a t a :
  • Statistical data may be in the form of categories or in the form of numbers
  • These are of the two types of data: Categorical:  Words that can be grouped into categories (eg. Phone company's or hair colours)

Numerical: (or quantitative data) are numbers which are describing things that can be counted or measured (eg. The number of goals scored in a basketball match or someone's height)

Chapter 7: Statistics & Data.

Tuesday, 12 October 2021 5:37 PM

T h e m e a n , m o d e , m e d i a n a n d r a n g e : Mean: ○ The mean is found by adding all the scores and dividing by the number of scores.

  • Mode:
  • Range: Range = highest score - lowest score ∑x = sum of all numbers N = number of scores Formula: Middle score 1 + middle score 2 ÷ 2 A n a l y s i n g f r e q u e n c y t a b l e s :
  • Fx column means score (x) * frequency (f), so to find the fx, you have to multiply the x column by the f column To find the median, look at the middle score of the fx table and estimate according to the frequency of the other scores

To find the mean - X = sum of fx ÷ sum of f [𝑥 =

• ]

  • The mode is the score with the highest frequency (f)
  • The range is the difference between the highest and lowest scores in the (x) column
    • Median: T y p e s o f n u m e r i c a l d a t a :
  • Numerical data is divided into two subcategories: Discrete data:  Counted: separate values, gaps between the data

Continuous data:  Measured: smooth scale range, includes 'in-between' values