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# 25-Aug-14Created by Mr. Lafferty1 Statistics Mean Mean from a Frequency Table Range of a Set of Data www.mathsrevision.com Median and Mode Grouped Frequency.

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25-Aug-14Created by Mr. Lafferty1 Statistics Mean Mean from a Frequency Table Range of a Set of Data www.mathsrevision.com Median and Mode Grouped Frequency Table Level F

25-Aug-14Created by Mr. Lafferty2 www.mathsrevision.com Level F Starter Q1.Round to 2 decimal places Q2.Add 2.34 + 5.03 + 7.2 Q3.Solve for x (a)52.567(b)62.155

25-Aug-14Created by Mr. Lafferty3 www.mathsrevision.com Level E Aims of the lesson 1.Explain the meaning of the keyword Mean 2.Calculate the mean for given data.

25-Aug-14Created by Mr. Lafferty4 The mean The mean is the most commonly used average. To calculate the mean of a set of values we add together the values and divide by the total number of values. For example, the mean of 3, 6, 7, 9 and 9 is Mean = Sum of values Number of values

25-Aug-14Created by Mr. Lafferty5 Two dice were thrown 10 times and their scores were added together and recorded. Find the mean for this data. 7, 5, 2, 7, 6, 12, 10, 4, 8, 9 Mean

25-Aug-14Created by Mr. Lafferty6 Now try Exercise 4 Ch5 (page 106) www.mathsrevision.com Level F Average / Mean

25-Aug-14Created by Mr. Lafferty7 www.mathsrevision.com Level F Lesson Starter Q1. Q2.How long between 8:40am to 1.20pm Q3.36.9 x 6 Q4.34.7 x 20 Q5.Find the mean for the set of numbers -7, 10, 6, 3

25-Aug-14Created by Mr. Lafferty8 www.mathsrevision.com Level F Aims of the Lesson Find the mean for a set of data without a calculator using the mean difference

25-Aug-14Created by Mr. Lafferty9 Two dice were thrown 10 times and their scores were added together and recorded. Find the mean for this data. 7, 5, 2, 4, 6, 12 Scores 7524612 Assumed mean 5 20-317 Mean difference = 1 Mean = 5 +1 = 6

25-Aug-14Created by Mr. Lafferty10 Find the mean for this data without a calculator. 112, 118, 121, 124, 129 Scores112118121124129 Assumed mean 120-8-2149 Mean difference = 0.8 Mean =120 +0.8 = 120.8

25-Aug-14Created by Mr. Lafferty11 Now try Exercise 4.2 Ch5 (page 109) www.mathsrevision.com Level F Average / Mean

25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Add a third column to a frequency table. 1. To explain how to work out the mean by adding in a third column to a Frequency Table. Frequency Tables Working Out the Mean 2.Work out the mean from a frequency Table. Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com No of Coins ( c ) Freq.(f) Example : This table shows the number of coins in the pockets of some children. 5 1 2 16 3 5 1 2 3 4 5 Totals Frequency Tables Working Out the Mean Adding a third column to this table will help us find the total number of coins and the ‘Mean’. 5 x 1 =5 1 x 3 = 3 2 x 5 = 10 3 x 4 = 12 5 x 2 = 10 40 f x C Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com No of Sibling s ( S ) Freq.(f) Example : This table shows the number of brothers and sisters of pupils in an S2 class. 9 6 1 30 1 13 0 1 2 3 5 Totals Frequency Tables Working Out the Mean Adding a third column to this table will help us find the total number of siblings and the ‘Mean’. 0 x 9 =0 2 x 6 = 12 5 x 1 = 5 3 x 1 = 3 1 x 13 = 13 33 S x f Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 5.1 Ch5 (page 111) www.mathsrevision.com Frequency Tables Working Out the Mean

25-Aug-14Created by Mr. Lafferty17 www.mathsrevision.com Level E Lesson Starter Q1. Q2.How long between 8:12am to 2.09pm Q3.75.9 x 7 Q4. Q5.The answer to a question is 81. Write down the question. 1200 1300 Find arrow value

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Work out values of Mean, Median, Mode and Range. 1.To define the terms Mean Median, Mode and Range for a set of data. 1.Know the terms Mean, Median, Mode and Range. Different Averages Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Find the mean of the set of data 1, 1, 1, 1, 2, 3, 36 Can you see that this is not the most suitable of averages since five out of the six numbers are all below the mean of 5 Different Averages Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com An average should indicate a “measure of central tendency” but should also indicate what the distribution of data looks like. This is why we have 3 different types of averages to consider 1.The Mean 2.The Median (put the data in order then find the MIDDLE value) 3.The Mode (the number that appears the most) For the above data the Median or Mode is a better average = 1 Different Averages

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Different Averages Example : Find the median and mode for the set of data. 10, 2, 14, 1, 14, 7 Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 6.1 Ch5 (page 115) www.mathsrevision.com Different Averages Level F

25-Aug-14Created by Mr. Lafferty23 www.mathsrevision.com Level F Lesson Starter Q1. Q2.12000 divided by 60 Q3.Tidy up the following 2x + 5y – 3x – 6y Q4. Q5.The answer to a question is 60. Write down the question. A circle is divided into 10 equal pieces. The whole circle represents 100%. What value is one piece.

25-Aug-14Created by Mr. Lafferty24 www.mathsrevision.com Level F Aims of the lesson 1.Explain the meaning of the keyword Range 2.Calculate the mean and range for given data.

25-Aug-14Created by Mr. Lafferty25 Finding the range The range of a set of data is a measure of how the data is spread across the distribution. To find the range we subtract the lowest value in the set from the highest value. Range = highest value – lowest value When the range is large; the values vary widely in size. When the range is small; the values are similar in size.

25-Aug-14Created by Mr. Lafferty26 www.mathsrevision.com Level F The Range Example : find the range for the following (a)3, 1, 4, 10 (b)-3, 8, -6, 1, 7, 5 (c)The highest and lowest every recorded temperature for Glasgow are 35.3 o C and -15.5 o C respectively. Find the value of the range. 10 – 1 = 9 7 – (-6) = 13 35.3 – (-15.5) = 50.8 o C

25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Ex7.1 & 7.2 Ch5 (page 117) www.mathsrevision.com Statistics Working Out Statistics Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 6h 2a Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Construct Grouped Frequency Table 1. To explain how to construct and interpret Grouped Frequency Tables. Frequency Tables 2.Interpret Table. Grouped Frequency Tables Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com When a set of data is large, the numbers have to be grouped into “class intervals”. Each interval must have the same number of values Ideally, there should be between 6 to 10 intervals Frequency Tables We will now construct a Frequency Table Grouped Frequency Tables Level F

25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Grouped Frequency Tables Frequency Tables Class Intervals TallyFrequency 1223415577 1532405169 2112164356 7132753442 5576217322 5641192047 7817 Example : The test scores for a class are given below. Construct a Frequency Table for the results. 1 6 3 5 6 6 5 10-19 20-29 30-39 40-49 50-59 60-69 70-79 Choose suitable Class interval Level F What is the modal class interval 10 – 19, 40 – 49 and 70 - 79

25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 8.1 Ch5 (page 120) www.mathsrevision.com Statistics Working Out Statistics Level F

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