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Mathematics 2 ESO – Unit 11 AREAS AND VOLUMES page 125 – activity 47

a) Make a “frequency table”:

  • I) We ask 15 people how many books they read last year. The result is:   2, 0, 1, 4, 0, 2, 0, 3, 1, 0, 2, 3, 1, 2, 1
  • II) We ask 16 bus passengers how happy they are about the bus service. The result is:   good, bad, very good, very bad, good, bad, good, good, good, bad, very good, bad, good, bad, very good, good.
  1. b) Relate each chart with a description:
Bar charts    a) 1.         The angle for each category = value of the category • 360° / total value of all the categories.
Pie charts     b) 2.         These charts show discrete (discontinuous) data.
Histograms   c) 3.         These charts show continuous data.

c) We ask 20 people how many friends they have, their answers are: 3, 2, 6, 4, 8, 2, 12, 5, 0, 1, 6, 2, 4, 3, 5, 1, 4, 3, 5, 4

  • I) What graph is correct, a bar chart or a histogram? Why?
  • II) Draw the graph.
  • III) Draw also a pie chart

d) The graph shows the number of fans of a music band in six countries.

  • I) What type of graph is it?
  • II) Make a frequency table.
  • III) Calculate: the mean, the mode, the median, the relative frequency, the absolute frequency, the cumulative frequency
  • IV) Calculate the angle for each category in a pie chart.
  • V) Draw a pie chart.

e) Ninety six people like icecream, eight people don’t like icecream.

  • I) Calculate the angle for each category in a pie chart.
  • II) Draw a pie chart.

f) The number of people waiting at the bus stops along a bus line is: 2, 0, 1, 1, 3, 2, 5, 2, 1, 2, 1, 4, 1, 2, 0, 1, 2, 3, 0, 2, 1, 3, 0, 1, 3

  • I) What is the population?
  • II) What is the absolute frequency of stops with 2 people waiting?
  • III) Calculate the the absolute frequency of stops with 2 people waiting?
  • IV) Draw a bar chart.
  • V) Draw a frequency polygon.
  • VI) Calculate the mean, the mode and the median.
Number of people Number of times they go to the pool
12 0
16 1
25 2
12 3
8 4
4 5
2 6
1 7
  1. g) In a city of 4 million inhabitants we ask eighty people how many times they go to the swimming pool during the first week of July.
  • I) What is the population?
  • II) What is the sample?
  • III) How many categories are there? Which are the categories?
  • IV) Which is the absolute frequency of people that goes two times to the pool?
  • V) What is the relative frequency of people that goes four times to the pool?
  • VI) Draw an appropriate chart.
  • VII) Calculate mean, mode and median.

h) True or false?

  • I) The population is always smaller than the sample.
  • II) In a statistic there are always seven categories.
  • III) Frequency is how often something happens
  • IV) The median is the number in the middle of a group.