Statistics 201 (Anderson)

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Stony Brook University *

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201

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Statistics

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Jan 9, 2024

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q\\\\ Stony Brook University Name: \levinic & Be b Statistics 201 (Anderson) : Module 1/Chapter 2 -- Week 2 All materials for this chapter are available in Blackboard/Psych 202.01(L01-L04)/Modules/Module 1/Chapter 2 —See Slide set (STAT Chpt2_520) use .pdf if viewing on a tablet or phone Before the first class for this chapter —Watch Video 1 (15 min) —Watch Video 2 (22 min) —Watch Video 3 (12 min) —Watch Video 4 (15 min): Grouped Frequency Histograms,Percentiles and Percentile Ranks. In class question 1 Below we see a set of scores from a quiz worth a maximum of 6 points. Construct a frequency distribution table for the following data set Note: question numbers correspond to the video so Q1la signifies that you should follow instructions from video 1, and a indicates this is the first question from video 1. Questions from Video 1: Qla: In the table below, create a column for the number of points scored for each possible value. The video and textbook instruct us to place the Data: 1,1,2,2,2,3,3,4,4,5,6 The video and textbook instruct us to place the a) ) Highest X value at the top b) lowest X value at the top Next, create a frequency column and fill in the values. For the sole use of students at Stony Brook University. Copyright © 2023 (Copyright Brenda J Anderson) All Rights Reserved
N /)< + (6] { ( % 1 ,Y\ L_ J ‘, [ /r \) (J\i ( ‘*',/ (f ( N \ | 5| | L \ | 7) | et \ y; - ; , g ) £ =i =4 | Q1b: If you relied solely on the frequency distribution table, how would you find the number of scores (sample size, n)? Sum the frequency column. What does this value tell you? = 1y Qlc: USing a frequency distribution table, find the sum of X—circle it in the table. Q1d: Find the proportion if subjects that scored each value. Qle: Find the percent of stjects at each value. ) CAG 2 ,) - [ ) » y Q1f: What is the formula used to calculate p for each row? 4/ { Qlg: How is p different from percent? \,{‘ purtivm Q1h: Graph the data. Be sure to providé labels for the X and Y axis. Use a frequency histogram. 2a (From video 2) Draw a symmetrical unimodal distribution. Provide labels for the X andY axis. For now, X can simply be labeled “measuring unit” or you can use something common such as “cm”). You don’t need to show a scale for now, because we are focused on the shape. For the sole use of students at Stony Brook University. Copyright © 2023 (Copyright Brenda J Anderson) All Rights Reserved - wEW L QESCMSGRMEESE Y HEN ol S s i e S Sile g oSS SRy i
‘\\\\ Stony Brook University R ib Qraw a symmetrical bimodal Istribution. Provide labels for the X and Y axis (X can simply be measure). You don’t Need to show a scale. 2c Draw a positively skewed distribution. Provide labels for the X and Y axis (X can simply be measure). You don’t need to T 3 show a scale. Fit N \ | / L\ Y 2d What are the three characteristics we look for in distributions? If you aren’f/sure, refer back to the slide set. 1) 2) 3) 5, v Question 3: Grouped Frequency Distributions: Imagine that you have a catapult and you have used it to propel ping pong balls. If you propelled a ball 22 times and measured the distance propelled in €m, your data might look like the following: 0000 207 181 170 163 138 203 179 168 161 121 192 177 166 159 187 174 166 154 183 172 164 146 Q3a What is the difference between the highest and lowest distance the ball was propelled? o To organize you data, you will construct a grouped frequency distribution table as shown in video 3, follow the process below: For the sole use of students at Stony Brook University. Copyright © 2023 (Copyright Brenda J Anderson) All Rights Reserved
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‘\\v Stony Brook University e i Q3b What is the ideal number of categories/bins for grouped frequency distributions? \ wAr vV o I\ VTV O ) Q3c What is the difference between the highest and lowest distance the ball was propelled? v 0 Q3d Can you use both of these to identify the range for the individual bins/categories? If you aren’t sure, refer to the slide set. Sz e e Q3/4: Fill in the Grouped Frequency Distribution Table below: Start with the largest category at the top. Remember the category label is the midpoint of the range for that category. Center your categories around the simplest set of numbers for the options you have (e.g., if you could use .5 or 1, center around 1). Q3 (3 means from video 3): Include columns for p and percent. Stop there. Category labels | f p percent cf Percentile Rank 210 ¥ \ 0.04% EHS 710 100 200 ; MG | us 7] T A0 ¢ 0. 06t Q L( X L\ \ | (@ 0.112 2 \ \ \ 3.\ L 0 090 ().0YS 1.5 7 \ 0 " Ay, ( < 1 4 0.5 | 0.5 (always use 2 decimal places in this class) The key has two pages for this set of questions, one for centering around 5s and one for centering around 10s. Fill out the p and percent columns in the table. 3e: What percentage of scores fell in second lowest category? - For the sole use of students at Stony Brook University. Copyright © 2023 (Copyright Brenda J Anderson) All Rights Reserved
- ‘\\\V Stony Brook University Name: 3f: What percentage of scores fell in the category with the highest scores? Before completing the next sections, be sure to have watched the last two videos. —_Watch Videos 5 (17 min); use interpolation to find percentile and percentile ranks from grouped frequency distributions. ___Watch Video 6: Stem and Leaf Diagrams (3 min) on your own time. Now let us use the percent and percentile information from video 4 Q4a: Fillin the cumulative frequency column in the table. What is the percentile rank for the 4 highest value in the highest category? (only about 30% of students get this right so think carefully about what you are asked to find, and how it differs from question 3f). Q4b What is the cf for the category labeled 185/190 (depending upon your category midpoints)? 20 Q4c¢ What is the percentile rank for the upper real limit for the category labeled 195/2007? Q4d: Draw a frequency histogram using the box below Will you use a bar graph, frequency histogram, or frequency polygon? Why? What factors determine your answer? Q4e: Be sure to label your X and Y axis with values and names. (use the grid below to guide you.) Use the lowest scores on the left side of the X axis. o N%\ed For the sole use of students at Stony Brook University. Copyright ® 2023 (Copyright Brenda J Anderson) All Rights Reserved
qw Stony Brook University Namet = it e Q4i Now, plot the cf distribution. o, Dv,.r'x \}@C\ B - T 7 W / ] i1 T / viltl Checking completion: Upload these sheets in the upload link for the Worksheet in Chapter 2 Brightspace/Psych 202.01/Modules/Module 1/Chapter 2/ Helpful hint for succeeding in this course: Use the feedback from the worksheets and homework assignments to identify where you are confused, and need help. Access help by referring back to the textbook, slideset, videos, asking questions in class or attending office hours. You must be responsible for seeking help when you need it. For the sole use of students at Stony Brook University. Copyright © 2023 (Copyright Brenda J Anderson) All Rights Reserved Lm——u——_——_
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