Lesson 10: Averages. Mathswatch 41/133 GCSE Maths Starter 10 1) Find the median and the range in the stem and leaf below. 2. Write 56 as a product of its prime factors. 3. Simplify (y⁵)³ 4. Solve 4(x + 7) = 36 5. Describe fully the single transformation that maps A onto B. Lesson 10: Averages. Mathswatch 41/133 • To calculate the mean, median, mode and range from a list of data. • To estimate the median and modal group from grouped data. • To estimate the mean from data in a table. EXTN: To solve problems involving mean from a table when the table isn’t drawn for you.(Grade C) Lesson 10: Averages. Mathswatch 41/133 Play this youtube clip: http://www.youtube.com/watch?v=z zDDUc_yP2I Lesson 10: Averages. Mathswatch 41/133 So… Most Common • If we know: • The Mode = Most Common • What is the mode average of the following numbers? 2, 6, 4, 2, 5, 8, 7, 4, 2, 6, 3, 2, 2, 3 Lesson 10: Averages. Mathswatch 41/133 So… Median = Middle • You need to put the numbers in order; from the lowest to the highest • And find the halfway point: 2, 6, 4, 2, 5, 8, 7, 4, 2, 6, 3, 2, 2, 3 Lesson 10: Averages. Mathswatch 41/133 The Mean • Think of a mean old man counting out his money! • He adds all of the values together and divides the total by the number of values he has. Lesson 10: Averages. Mathswatch 41/133 So… calculation of the mean • Add together the numbers: 2+6+4+2+5+8+7+4+2+6+3+2+2+3 =? And divide by the total by the number of values you have 56 14 =4 Lesson 10: Averages. Mathswatch 41/133 The Range • Take the highest value and subtract the lowest value: 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8 Answer: 8 – 2 = 6 Lesson 10: Averages. Mathswatch 41/133 For averages from a table Watch Mathswatch clip 133. Mathswatch Website Centre ID: bbs Login: burton Password: radius Lesson 10: Averages. Mathswatch 41/133 30 MP MP x Freq 5 2 x 5 = 10 15 120 25 225 35 245 45 180 780 Often it tells you what to divide by in the first sentence ÷ 30 = 26 Lesson 10: Averages. Mathswatch 41/133 • To calculate the mean, median, mode and range from a list of data. • To estimate the median and modal group from grouped data. • To estimate the mean from data in a table. EXTN: To solve problems involving mean from a table when the table isn’t drawn for you.(Grade C)