section 3

Cards (22)

  • what are the three columns in a frequency table?
    1. the values and names of the different pieces of data
    2. shows a mark (tally) for each piece of data
    3. frequency - sum of the tally marks
  • what is a con of grouped frequency tables?

    it's less accurate as the exact values are lost
  • what type of class intervals are used for discrete and continuous data?

    discrete - gaps between classes (e.g. 1-5, 6-10)
    continuous - no gaps (e.g. 1<x<5,5<x<10)
  • what are two way tables?

    summarises bivariate data (two variables)
  • what is bivariate data?

    measures two variables - investigates a link between them
  • how to interpret a table of data
    identify a value or category directly
    find a total or calculate a percentage
    describe a trend
    explaining why part of the table is inconsistent e.g. the value was rounded
  • what is a composite bar chart?

    it has single bars split into sections which show frequencies for the different categories
  • what makes up a stem and leaf diagram? 

    a stem - e.g. the tens digits
    the leaves - e.g. the ones digits
    a key - show what the information means
  • what is a population pyramid?

    made from two bar charts that are back-to-back
    used to compare data within two groups
  • what do the shapes of a population pyramid mean?

    pyramid - higher proportion of younger than older
    barrel - younger and older is equal
    inverted pyramid - higher proportion of older than younger
  • what are choropleth maps?

    they split a geographical area into regions and each region is shaded with a colour or pattern
    comes with a key
  • how to draw a pie chart
    1. calculate the angle for each sector: number in category/ total number *360
    2. draw a circle
    3. accurately draw the sectors
    4. Label the sectors
  • how to compare two pie charts
    make their areas proportional to the populations they represent
    use the same area for each unit of data
    work out the radius of the second pie chart given the radius of the first pie chart:
    • work out the area for one unit of data (pieR@2)/number of items
    • multiply the area for one unit of data by the total number of items for the second pie chart
    • rearrange area=pieR@2 to find R of the second pie chart
  • a larger area on a pie chart means...

    more data
  • what is a vertical line chart?

    like a bar chart with lines
    shows frequency distribution for discrete data
  • what is a frequency polygon?

    drawn from continuous data in a grouped frequency table
    plot the midpoint of each class against the corresponding frequency
    use straight lines
  • what is cumulative frequency?

    a running total of the frequencies
  • what is a cumulative frequency step polygon?
    used for discrete data - use horizontal lines between points
  • what is a cumulative frequency chart?
    shows continuous data
    plot the cumulative frequency against the highest value in each class
  • how to estimate a number from a cumulative frequency chart? e.g. estimate the number of plants with a height less than 12.5cm
    draw a vertical line from 12.5cm and read of the corresponding cumulative frequency
  • what are histograms?
    display continuous data from a grouped frequency table '
  • how to draw a histogram with equal class widths
    frequency on the y-axis
    suitable scale on the x-axis
    draw a bar for each class
    no gaps between the bars