2. Confidential2 Warm Up 1.Graphs are pictorial representation for a set of data ranges. 2.The data Ranges are the data present in the spreadsheets. 3. Bar graphs is also known as histograph. 4. Data Representation on the Graph is Labels 5. Graphs can be of different types. Line graph and Bar graph

3. Confidential3 1. Graphs are pictorial representation for a set of data ranges. 2. Graphs can be of different types. Line graph and Bar graph 3. Data Representation on the Graph is Labels 4. This will allow you to put informative data on the graph to make it easier to read. Lets recap what we have learned in this lesson

4. Confidential4 Along a side of the bar graph are called the scale Bar graphs consist of an axis and a series of labeled horizontal or vertical bars that show different values for each bar Bar graph Line Graph A line graph is a way to summarize how two pieces of information are related and how they vary depending on one another. Review

5. Confidential5 Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, the three most common. The "mean" is the "average“, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. The "mode" is the value that occurs most often. Lets get Started

6. Confidential6 Mean Mean is the most common measure of central tendency. It is simply the sum of the numbers divided by the number of numbers in a set of data. This is also known as average. Example: Find the mean for the following data: 5, 15, 10, 20, 10 Sum of data = 5 + 15 + 10 + 20 + 10 = 60 Number of data = 6 Mean = Sum of data/ Number of data = 60/6 = 10 Mean or Average

7. Confidential7 Median Median: Median is the number present in the middle when the numbers in a set of data are arranged in ascending or descending order. If the number of numbers in a data set is even, then the median is the mean of the two middle numbers. Example: Find the median for the given data. 3, 7, 9, 4, 5, 4, 6, 7,9 The data set in the ascending order is 3, 4, 4, 5, 6, 7, 7, 9, and 9. Median is the middle data value of the ordered set. Median of the set = 6

8. Confidential8 Mode Mode: Mode is the value that occurs most frequently in a set of data. Example: Find the mode of the given data 1, 2, 9, 6, 9 Mode is/are the data values that appear most often in the data set. So, the mode of the data set is 9.

9. Confidential9 Range Definition: The range of a set of data is the difference between the highest and lowest values in the set. Example: Cheryl took 7 math tests in one marking period. What is the range of her test scores? 89, 73, 84, 91, 87, 77, 94 Solution: Ordering the test scores from least to greatest, 73, 77, 84, 87, 89, 91, 94 highest - lowest = 94 - 73 = 21 The range of these test scores is 21 points.

10. Confidential10 Your Turn 1) __________ is known as Average. Mean 2) Numbers in a data set is even, then the median is the ________ of the two middle numbers. Mean 3) Mean is the most common measure of __________. Central tendency 4) ________ is the value that occurs most frequently in a set of data.Mode 5) Write the formula of mean? Sum of data/ Number of data

11. Confidential11 Your Turn 6) _______, _________ and _______ are three kinds of averages. Mean,Median and Mode 7) The ______ is the middle value in the list of numbers. Median 8) _______ is the difference between the highest and lowest values in the set. Range 9) Find the range of these quiz score 93, 79, 83, 89, 90, 71, 85 ______ 22 10) If the number of Numbers in a data set is _____, then the median is the means of the two middle numbers. Even

12. Confidential12 Refreshment time

13. Confidential13 Lets play a Game http://www.miniclip.com/games/bad-apple/en/

14. Confidential14 1) The mean (average) weight of three dogs is 38 pounds. One of the dogs, Sparky, weighs 46 pounds. The other two dogs, Eddie and Sandy, have the same weight. Find Eddie's weight. Let x = Eddie's weight ( they weigh the same so Let x = Sandy's weight they are both "x") Average: sum of the data divided by the number of data. (x + x + 46 )/ 3 dogs = 38 Solve for x. 2x + 46 = 38 * 3 2x + 46 = 114 2x = 114 – 46 = 68 x = 34 Eddie weighs 34 pounds.

15. Confidential15 2) For what value of x will 8 and x have the same mean (average) as 27 and 5? Mean = (27 +5) /2 = 32/ 2 = 16 So, (x +8) / 2 = 16 Solve for x. x + 8 = 2 * 16 x + 8 = 32 x = 32 – 8 = 24

16. Confidential16 3) A student has gotten the following minimum grade he must get on the last test in order to achieve that average grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the mean?

17. Confidential17 Solution: Let x be the unknown score by the definition of mean, (87 + 95 + 76 + 88 + x) ÷ 5 = 85 Multiplying through by 5 and simplifying, 87 + 95 + 76 + 88 + x = 425 346 + x = 425 x = 79 He needs to get at least a 79 on the last test.

18. Confidential18 Lets review what we have learned in our lesson Mean The average of a group of numbers is called the mean. Median The middle number of the group is called the median. Mode The number that appears the most often in a listing of number mean: "average" median: middle value mode: most often

19. Confidential19 You did great in your lesson today ! Be sure to practice and keep up the good work