0 a International . Baccalaureate lJaar/ Kg 55 2"\" i =:6a_l School. Math Project For-Grade:11 Al, SL 2022 2023 Dear students. In this Math Project. you will apply what you studied in chapter 3 in one real life suitable situation. Chapter 3 was about representing and describing data. The student should select a set of data of 40 measures like heights of 40 students. weights of 40 students. pocket money of 40 students. the income of 40 families, etc. After collecting die data. you should answer the following questions neatly and properly. 1) What type is the data you collected? Is it qualitative or quantitative? Why? Rush more information. 2} What type is the data you collected. is it a continuous or discrete data? Why? Rush more information. 3) Find the arithmetic mean for the data you collected. What is the difference between the arithmetic mean and the geometric mean? 4) Arrange the data you collected in an ascending order and nd the median. Show your working. 5} Find the mode of the data you collected. 6) Find the rst quartile Q1? 7} Find the second quartile 02'? 8) Find the third quartile 03? 9) Find the seventh deoiie D?? (Rush more information about the deciles and how to nd it). 10) Find the 13\" percentile P 13? (Rush more information about the percentiles and how to nd it). 11)Find the range of the data you collected. Comment on it. 12)P|ot Box-and Whisker on a graph paper and use the suitable scale. Is your data symmetric? thv' Discuss and comment. 13)Find the intorquartile range (IQR). 14)Arrange the data you collected in a frequency table of 5 intervals (classes). 15]Find the arithmetic mean from the frequency table you collected and compare it with the mean you found in question 3. Which one is more accurate. 2022 4023 16)Fihd the median from the frequency table you created and compare it with the median you found in question 4. 1?)Add one more column called the cumulative frequency to the frequency table you created. 18)0n a graph paper represent the tabulated data in the frequency table in a histogram [bar chart). Show your working. 1Q)0n a graph paper represent the tabulated data in the frequency table in a line graph. Show your working. 20)0n a graph paper represent the tabulated data in the frequency table in a circle graph (Pie chart). Show your working. 21)l5 there any outliers in the data you collected. Write them down and dene the outlier. 22)ls your data univariate? Why? Dene the word " univariate". 23)How did you choose the data you got? How did you choose your sample? Was it a simple random sampling? 24)Del'ine the systematic sampling and give an example to make it clear. 25)What is the meaning of \" quota sampling\"? Did you use the quota sampling in your data? 26)Find the standard deviation manually and from the tabulated date. Show the working. 2?)Find the standard deviation by using a calculator. State the steps and apply them in your date. Comment on the answers you got. 28)Find the variance of your data and comment on the result you got. 29)What do we mean by measures of dispersion? Give an example. 301What is an outlier? How do we nd it mathematically? Answer all the previous questions on A4 size paper and submit it as a hardcopy. This task is due on : Wednesday Nov. 9. 2022. Good luck.