Lesson Objectives To find averages and range from

Lesson Objectives To find averages and range from data. Averages 03 March 2021 Entry: in silence 1. Format your desk. 2. Write and underline the date and title. 3. Write the objective. DNA: 1. Write down the definition/meaning of: i. Ascending ii. Descending 2. Write the following lists of numbers in ascending order: i. 4, 7, 2, 1, 3, 9, 8 ii. 1. 3, 6. 7, 0. 9, 4. 2, 6. 55 iii. -3, 4, -1, 2, -6 Growing Together - Reaching Higher

Lesson Objectives DNA Review i. Ascending – From smallest to largest. Moving up. ii. Descending – From largest to smallest. Moving down. To find averages and range 2. Write the following lists of numbers in ascending order: i. 1, 2, 3, 4, 7, 8, 9 ii. 0. 9, 1. 3, 4. 2, 6. 55, 6. 7 iii. -6, -3, -1, 2, 4 from data. Growing Together - Reaching Higher

Lesson Objectives By the time you leave my room you will be able to: • Find the mean, median, mode and range from a set of data To find averages and range • Know which measure is most useful in different contexts • Make comparisons from data sets from data. Growing Together - Reaching Higher

Lesson Objectives Measures of average • Average – A measure of the centre or typical value in a set of data. • Mode – The value that appears most often in a set of data. To find averages and range from data. Growing Together - Reaching Higher

Lesson Objectives Example 1 • What is the mode for the following set of data 2, 3, 4, 4, 7, 2, 1, 2, 2, 7, 9 To find averages and range 1 2 2 3 4 4 7 7 9 We say ‘ 2 is the mode’. from data. Growing Together - Reaching Higher

Lesson Objectives Measures of average • Average – A measure of the centre or typical value in a set of data. • Mode – The value that appears most often in a set of data. To find averages • Median – The value half way through our data when our data is in order. The median splits our data in to two equal sets. and range from data. Growing Together - Reaching Higher

Lesson Objectives Example 2 • What is the median for the following set of data? 2, 3, 4, 4, 7, 2, 1, 2, 2, 7, 9 1 2 2 3 4 4 7 7 9 We say the median is 3 To find averages and range from data. Discussion Point – What happens if we have two numbers left in the middle? What is the median of the follow data set? 4, 7, 8, 2, 4, 6 2 4 4 6 7 8 Half way between the two numbers is 5. The median is 5 Copy: half way between 2 numbers is found by adding them together and dividing by 2 Growing Together - Reaching Higher

Lesson Objectives Measures of average • Average – A measure of the centre or typical value in a set of data. • Mode – The value that appears most often in a set of data. To find averages and range from data. • Median – The value half way through our data when our data is in order. The median splits our data in to two equal sets. • Mean – This is our most mathematical average as every single number in our set is taken in to account. We find the mean by adding together all of the numbers in our data set and then dividing them by how many numbers there are. Growing Together - Reaching Higher

Lesson Objectives Example 3 • Find the mean for the following set of data To find averages and range • • • 12, 4, 15, 7, 21 Sum = 12 + 4 +15+7+21 = 59 Mean is 59 ÷ 5 = 11. 8 from data. Growing Together - Reaching Higher

Lesson Objectives Task 1 1. Find the mode for the following sets of data a) b) To find averages and range from data. 2. Find the median for the following sets of data a) b) 3. Find the mean for the following sets of data a) b) c) d) Growing Together - Reaching Higher

Lesson Objectives Task 1 - solutions 1. Find the mode for the following sets of data a) 1) a) 1 b) 3 b) To find averages and range from data. 2. Find the median for the following sets of data a) 2) a) 5 b) 0 b) 3. Find the mean for the following sets of data a) b) c) d) 3) a) 7 b) 6 c) 5. 5 d) 1 Growing Together - Reaching Higher

Lesson Objectives Copy: Measuring spread The range is not a measure of average. It is a measure of spread, it shows us how concentrated or spread out our data is. Range = Highest value – Lowest value To find averages and range from data. Example – What is the range of the following data? 2, 1, 6, 9, 3, 5 Range = 9 – 1 = 8 Growing Together - Reaching Higher

Lesson Objectives Write down the range of the following data 5, 9, 1, 5, 7, 4, 3 To find averages and range from data. Growing Together - Reaching Higher

Lesson Objectives Write down the range of the following data 6. 2, 7. 3, 8. 8, 1. 5, 4. 1 To find averages and range from data. Growing Together - Reaching Higher

Lesson Objectives Write down the range of the following data 210, 250, 260, 180, 240 To find averages and range from data. Growing Together - Reaching Higher

Lesson Objectives Write down the range of the following data -6, -10, -2, -9 To find averages and range from data. Growing Together - Reaching Higher

Lesson Objectives Comparing distributions • When comparing two or more distributions we are always looking to compare the averages and range. To find averages • What is different and what does this mean? The two main comparisons we make are • Range – Remember range measures spread so the smaller the range the more concentrated the data is (all of our values are closer together). and range from data. • Average – you can compare which ever average you have. (e. g. Set A has a higher mean than Set B) • A higher average means more right? Which average has been used? What do we know about each average and how they are calculated? Growing Together - Reaching Higher

Lesson Objectives Average vs Range - Discussion • Mr Mitchell loves salt and vinegar crisps. He loves two brands, Talkers and Mc. Roys. Both taste identical. He collected some data on the number of crisps per packet for both brands and found the following: To find averages and range from data. Talkers Average – 35 Range - 4 Mc. Roys Average – 38 Range - 10 • Which brand should Mr Mitchell choose and why? • What more information would we like? • Can you convince me of your answer? Growing Together - Reaching Higher

Lesson Objectives Task 2: All: Complete the table of averages and spread for the following 2 data sets To find averages and range from data. Set 1: If you only knew one piece of data, what would the following tell you a) Range b) Mean c) Median d) Mode Growing Together - Reaching Higher

Lesson Objectives To find Task 2 Answers Range – the scores for English have a larger range, this means the scores are more spread out. The maths scores have a range of 4 which tells us they are more consistent in maths. Mean Median Mode Range English Maths 78 71 101 35 78 78 78 4 averages Mean On average the amount of marks gained in total by all students in and range maths and English are the same from data. Median The median for English is lower than maths, which suggests over all the English scores begin lower. Modal Maths has a mode of 78 and English 101, this suggest its more common to reach a higher score in English than maths. Growing Together - Reaching Higher

Lesson Objectives Exit ticket To find averages and range from data. Growing Together - Reaching Higher

Lesson Objectives Exit ticket 3 To find averages and range from data. 4 7 4. 9 Growing Together - Reaching Higher

Exit Routine – make it sharp and purposeful