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LO To assess my understanding of averages RAG Key Words: Reflect, Communicate, Explain, Justify 17/07/2015 Starter Activity Complete the ‘Heard the Word Grid.’ Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work? Averages Grade G F E D I can find the mode and median of a list of data. I can find the mean of a small set of data. I can find the mean and range from a stem & leaf diagram. I can find the mean from a frequency table of discrete data. I can find the range for a set of data. C I can find an estimate of the mean from a grouped frequency table of continuous data. Key Words / Methods Mode Median Mean Range Continuous Data Discrete Data Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Kaz rolled a dice 10 times. Here are her scores 2 6 5 4 4 2 1 3 4 3 Grade G Grade F Find the mode. Work out the mean. Explain your answer. Show all of your working out. Find the median Work out the range. Show how you worked it out. Show all of your working out. Grade F The table shows the midday temperature on each day for ten days. Day 1 2 3 4 5 6 7 8 9 10 Temperature (oc) 13 14 12 10 13 16 14 13 18 16 (a) Find the range of temperatures. . . . . . . . . . . . . . . . . . . . . . .°C (b) Write down the mode. . . . . . . . . . . . . . . . . . . . . . .°C (c) Work out the mean temperature. . . . . . . . . . . . . . . . . . . . . . .°C Grade F The list shows the number of goals scored by Kevin's hockey team in each of 8 matches. 2 1 7 2 12 6 2 4 Find the mean. .............................................................................................................................................. Work out the range. .............................................................................................................................................. In the 9th match, Kevin's hockey team scored 5 goals. Work out the median number of goals scored in the 9 matches. ............................................................................................................................................. Grade E The stem and leaf diagram shows some information about the speeds of 25 cars. How many of the 25 cars had a speed of more than 50 miles per hour? ................. Find the median speed. . . . . . . . . . . . . . . . . . miles per hour Work out the range of the speeds. . . . . . . . . . . . . . . . . . miles per hour Grade E Here are four number cards. One of the cards is turned over so you cannot see the number on it. The mean of the four numbers is 6 Work out the number you cannot see. Grade E Here are the heights, in metres, that 10 men jumped in a high jump competition. 2.19 2.23 2.23 2.23 2.26 2.28 2.29 2.29 2.31 2.33 For these heights, find (i) the mode .................m (ii) the mean .................m (iii) the range .................m In a high jump competition for women, the heights, in metres, that 10 women jumped were recorded. For these heights the mean was 1.95 m the range was 0.18 m (b) Compare the heights that the men jumped with the heights that the women jumped. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. .............................................................................................................................................. Grade D The table gives information about the number of goals scored by a football team in each match last season. Number of Goals Frequency 0 4 1 5 2 4 3 7 4 4 (a) Write down the modal number of goals scored. (b) Work out the total number of goals scored by the team last season. (c) Work out the mean number of goals scored. Grade C The table shows information about midday temperatures. Temperature (t °C) Number of days 10 ≤ t < 15 6 15 ≤ t < 20 4 20 ≤ t < 25 24 25 ≤ t < 30 44 30 ≤ t < 35 10 35 ≤ t < 40 4 (a) Write down the modal class interval. ........................................ (b) Work out an estimate for the mean midday temperature. Give your answer correct to 3 significant figures. Use the space below to set yourself a question similar to the ones you were able to answer confidently. Use the space below to answer the question that you have set yourself My own question… My answer… My own question… My answer… Averages Grade G F E D I can find the mode and median of a list of data. I can find the mean of a small set of data. I can find the mean and range from a stem & leaf diagram. I can find the mean from a frequency table of discrete data. I can find the range for a set of data. C I can find an estimate of the mean from a grouped frequency table of continuous data. Use the learning journey above to highlight the mathematical skills that you have now which you didn’t have at the start of the unit of work. How much progress have you made? What can you do to improve your skills as a learner in order to make even better progress? My teachers probing question My answer What I will do to act upon my ‘Even Better If’’ comment Strategy Complete a mymaths lesson or booster pack Use a revision guide or text book Ask my teacher to explain during a lesson Ask a peer to explain during a lesson Ask someone at home to help Attend a revision session at school Attend homework club Something else (describe your strategy here) Tick / Comments