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Index Types of data Frequency Averages Exercises Handling data and probability Matem´aticas 2o E.S.O. Alberto Pardo Milan´es Index Types of data Frequency Averages…

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Index Types of data Frequency Averages Exercises Handling data and probability Matem´aticas 2o E.S.O. Alberto Pardo Milan´es Index Types of data Frequency Averages Exercises 1 Types of data 2 Frequency 3 Averages 4 Exercises Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Types of data Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Types of data Organizing data Organizing data in a table can give you more information. There are two types of data: qualitative data which is described using words and quantitative data which consist of numbers. Example: Football teams, vegetables or colors are qualitative data. Temperatures, sizes, heights are quantitative data. Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Types of data Types of quantitative data Quantitative data can be discrete or continuous: discrete data can only take particular values, if it is not discrete then it is continuous. Continuous data can not be measured exactly. Example: Ages, sizes and numbers of siblings are discrete quantitative data. Temperatures, widths and heights are continuous quantitative data. Continuous data can be grouped into class intervals that makes it easier to record and handle them. Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Frequency Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Frequency What’s the frequency? In an experiment the frequency of a result is the number of times it occurred. Example: The marks gained by a group of students is... 7 6 4 6 7 8 10 5 6 5 We use a table for ﬁnding the frequency fi. Marks fi 4 1 5 2 6 3 7 2 8 1 10 1 N=10 The total number of observations is N = 10. Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Frequency What’s relative frequency? Relative frequency is the frequency expressed as a proportion: to ﬁnd the relative frequency, you have to divide the frequency by the number of observations. Example: The marks gained by a group of students is... 7 6 4 6 7 8 10 5 6 5 We use a table for ﬁnding relative frequency hi. Marks fi hi 4 1 1/10=0.1 5 2 2/10=0.2 6 3 3/10=0.3 7 2 2/10=0.2 8 1 1/10=0.1 10 1 1/10=0.1 N=10 10/10=1 Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Averages Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Averages The mode is the most common value. The mean (or average) is the sum of the values divided by the total number of values. Example: Tom has 23 euros, Fred has 16 euros and Mary has 21 euros. The mode of those values is 23 euros and the mean is 23 + 16 + 21 3 = 60 3 = 20 euros. The median is the data point that is in the middle when the data is listed in order. When there are two central values is their mean. Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Exercise 1 The number of books read by a group of students last year is listed below: 6 3 1 2 5 1 2 4 1 3 2 2 1 1 0 0 1 1 0 1 0 2 2 2 3 3 1 4 1 0 Complete a table for ﬁnding the frequency and the relative frequency. Multiply relative frequency to obtain the percentages. Calculate also the mean, the median, the mode and the range (the diﬀerence between the largest and smallest results in a data set). Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Exercise 2 The total number of goals scored in each of La Liga matches this weekend were: 2 3 6 0 2 2 5 7 5 3 Illustrate these data on a pie chart. Which number of goals was the most common? How is it this number called? Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Exercise 3 Mayte draws the following bar chart to illustrate the ages of some friends: 1 Create a frequency table. 2 How many of Mayte’s friends are included on the bar chart? 3 How many of her friends are of the age fourteen or younger? Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Exercise 4 Here are the marks gained by 28 students in a maths’ exam: 7 7 8 9 7 5 5 4 7 6 6 3 8 6 5 8 8 8 5 5 3 6 6 7 6 7 3 6 Create a frequency table and ﬁnd the average mark and the mode. Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Exercise 5 This table shows the rainfall in the city of M´alaga: Month Ene Feb Mar Abr May Jun L/m2 81 55 49 41 25 12 Month Jul Ago Sep Oct Nov Dic L/m2 2 6 16 56 95 88 1 Draw a graph to display this information. 2 Work out the mean monthly rainfall. Alberto Pardo Milan´es Handling data and probability Index Types of data Frequency Averages Exercises Exercises Exercise 6 The pie chart displays the percent of muscle, fat and bones in the human body for a 80kg man. Find the mode of the data set. Complete a table for ﬁnding the frequency and the relative frequency. fi hi Percent Muscle Bones Fat Other Alberto Pardo Milan´es Handling data and probability

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