STUDENT NAME: Bailey Jacobs EMAIL: bjaco50@eq.edu.au TEACHER: F Stevenson D Harman K Podlich A Brown Statistical Inferences Purpose: In this unit we have studied how to: • comparing techniques for collecting data in primary and secondary sources. • Making sense of the position of the mean and median in skewed, symmetric and bimodal displays to describe and interpret data. • Constructing histograms and back-to-back stem-and-leaf plots. • Calculate relative frequencies • Investigate data used and its validity Now it is your turn to demonstrate your fluency and understanding of these concepts in applying your knowledge from simple through to complex application in real life and theoretical contexts. Task Are we a typical Australian Year 9 class? In this task you will collect, process and compare data of body measurements from two groups: your mathematics class and an ABS CensusAtSchool sample. • Your teacher is looking for evidence of mathematical understanding, fluency and problem solving and reasoning abilities, not only correct answers. • When using a calculator, show enough working so that your teacher can see the method used. Content: • Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources. • Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi-modal’.
Student B demonstrates mathematical strengths in the explanation of both solutions of the area and perimeter, although one of the formula used was incorrect. Mathematical strength was also displayed in the actual multiplication 5x2x5x2=100, and addition 5+2+5+2=14 cm, failing to include the units of measurement
2. A month after the classroom teacher completed the review unit for multiplication, we began long division. One student was having a very difficult time with long division. The student hadn't quite mastered their multiplication facts, thus, making the long division unit difficult. I printed out a multiplication chart which listed the multiplication tables from 0-12. The student completed the long division unit with confidence using the chart. Additionally, I created and located
Only simple calculators (i.e., those that only add, subtract, multiply, and divide) can be used during examinations. Any device that is capable of storing text, facilitates communication, records sound, captures images and / or can be programmed will not be permitted. This policy will be strictly enforced. Please note that the instructor is not responsible for providing a calculator to students that do not bring a suitable calculator of their own to exam
You may use a calculator during the Final Test. You may not use any books
Write a short explanation (two to three sentences) of each concept and be prepared to discuss it with the class.
When looking at figure 1, which is the stem and leaf plot displayed above, we can determine whether or not these data sets are positively skewed or negatively skewed. Both of which have been classified as positively skewed. This is known as on both; the mean is higher than the median, which is important as it tells us that the middle most number is below the average set of records. In this data however, having positively skewed data represents the higher time taken to complete the concentration section of the Census. This can show us that there are areas of the students data students
To find the coefficient of skewness (a measure of the degree of skewness), the mean, mode and standard deviation was needed. Due to the large data size, a computer program was used to obtain the necessary information. The data set was inserted into the program (One Variable Analysis by Haese and Harris Publications) which then analysed it and produce the required result. The information collected is displayed below with the result for the mean rounded to 87 from 86.964 and the standard deviation to 8.2 from 8.2375. This was done for convenience however it did reduce the precision of the
Cross-tabulation and chi square will be use to organize the data do that determining the counts or percentages for combinations of categories across two or more categorical variables and investigate the relationship between variables will be easy. Questions like:
|Data Sources: X( Observation | X( Student Interview | X( Teacher Interview | X( Parent Interview | ( Rating Scales | ( Normative Testing |
To really begin to understand this complex topic a person really needs to understand the basics of
Then I will first proceed to label the subjects 1-20 and write their gender in the first column of my table and their ethnicity in the second. Then i will write their gender and carry on to the next step of my table, big toe measurements. I will have them line up from 1-20 and measure their right big toe from their tip to their big toe joint; following that i will record all the data in my third column on my table. Lastly I will have them repeat the same process except i will be measureing their right thumb from the tip to the MCP joint, and record the data in my last
In the following paragraphs, I will introduce the author’s ideas about this concepts, as a glossary:
In general, there are several methods for data collection and the different data collection methods provided its own advantages and disadvantages (Sekaran 2003, p. 223). For carrying out the data collection, the appropriate methods should be applied. In the research, the data collection could be done through the interview, for example, face-to-face and telephone interview. To collect the data by using interview technique, the questionnaire is commonly employed as the instrument for gathering data, the questionnaire could be able to distribute by mail or electronic mail. In addition, the data collection could be conducted by observation of individuals with or without audio or video recording. Before choosing the methods for data collection the expertise of the researcher, the degree of accuracy required, time and resources must be taken into consideration. Thus,
In order for one to completely explore the task expected from the author, it is paramount to understand the meaning of the terminology used in this essay.