Hello tutors need your help please.

This Simplified Self-leaming Module (SSLM) will help you recognize and understand real-life problems that can be represented using the concepts of measures of position and apply these concepts in making decisions based on the statistical solutions obtained in the given set of unglouped data. In solving problems involving Measures of position for Ungrouped dataI follow these steps: a. Arrange the data in increasing or ascending order {lowest to highest). b. Locate the position of the score in the distribution. Use the formula to locate the position of each quantile. For quartile. OF E (n + 1) where: For decile. Dk=tn +1} n =tota| numberofdata For percentile. Pk =% (n + 1) k = quantile c lnterpolate the value obtain [if the result is not a whole number): Steps: 1: Sibtract the 2nd data from the 3rd data. 2: Multiply the result by the decimal part obtained in the second step {Position of quantile) and add the result in step 2 to the 2nd or smaller number. d. Interpret the results. GSGCl'D-LRMS-ESSLM, VJ. 2.00, Effecm Apr'Zl', 2021 Example 1. The owner of a coffee shop recorded the number of customers who came into his caf each hour in a day. The results were 14, 1D, 12. Q. 1?, 5. B, Q. 14, 10, and 11. Find the following: a. lower quartile b. upper quartile of the data c. 3'\" decile d. 30" percentile Suluilen: In orderto find the quartiles. we need to arrange the scores in ascending order 5, a. Q. Q, 10, 10. 11. 12, 14. 14. 1? a. Lower quartile: 25% of the data has a value S 01 or u can use the formula. Qt = :01 + 1). and round off to the nearest integer. Q, = }(11 + 1) = (12)= % = 3. 01 is the avd element. Therefore. 01 = 9. Hence, 9 customers came to the coffee shop on the first 3 hours of the day. l). Upper quartile: \"(5% of the data has a value 5 Q: or you can use the formula. Qk=(n+1). Q,=(11+1)=(12)==9 03 is the 9'\" element. Therefore, 03 = 14. Hence. 14 customers came to the coffee shop during last hour of the day. c. 3" deeile Using the formula, D]. = 110'\" + 1). and round off to the nearest integer. 3 3 35 c, = (11+1)= E(12) = =31: lnterpolate: 3.6'\" is between 3'\" and 4Ih position, 9 and 9. therefore. D: = 9. Hence, 9 customers Game to the coffee shop during the 4'h hour of the day. d. an\" percentile Using the formula, Pk = (:1 + 1). and round off to the nearest integer. F El] 11 1 El] 1?. 960 96 wm' \"m' PM\" lnterpolate: 9.6'" is between 9" and 10'h position. 14 and 14. Therefore, Fee = 14. Hence. 14 customers came to the coffee shop. Example 2: A year ago. Angela began working at a computer store. Her supenrisor asked her to keep a record of the number of sales of computer parts she made each month. The following data set is a list of her sales for the last 12 months: 34, 47,1, 15, 57, 24, 2t), 11, 19, 50, 23, 37 GSGCfD-LWS-ESSLM, VJ. 2.00, Effective W21, 2021 Use Angela's sales records to find: a) the lower quartile b) the 8th decile c) the 45th percentile Solution(a): 1. arrange the data in ascending order: 1, 11, 15, 19, 20, 24, 28, 34, 37, 47, 50, 57 2. locate the position of the score in the distribution. a. Position of the lower quartile (Q1), Q1 = = (12 + 1) = -(13) = = 3.25 Interpolate: 3.25th is between 3"d and 4th position, 15 and 19. 19 - 15 = 4 (.25) = 1, then 15 + 1 = 16, therefore Q1 = 16. Hence, 16 computer parts were sold by Angela on the 3"d month. Direction: Fill in the blanks with the correct answer. Solution(b): b. Position of the 8 decile (Da), Da = (12 + 1) = (13) = 10 Interpolate: this between 10th and 11th position, and 50 - 47 = 3 (.4) = .3, then 47 + .3 = 47.3, therefore Ds =_ . Hence, an estimated 47.3 computer parts were sold by Angela between 10th and 11th month. Solution(c): C. Position of the 45" percentile (P45), PAS = 585 100 _) = 45 (13) =- 10 Interpolate: 5.85th is between and position, 20 and 24. 24 - 20 = 4 (.85) = 3.4, then 20 + 3.4 = 23.4, therefore P45 = 23.4. Hence, Let Us Do Activity 1: You're My Universe! The scores of Miss Universe candidates from the 10 judges were recorded as follows: 8.5, 9.0, 7.5, 8.5, 8.0, 9.5, 10.0, 8.0, 7.0, 8.5 . Find the upper quartile. 2. What is the Ds of the judges' score? GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021 3. Find the 40"h percentile or P40. Let Us Apply Activity 2: Puzzled?... Complete Me. Directions: Complete the Cross-Quantile Puzzle by finding the specified measures of position. Use linear interpolation. (In filling the boxes, disregard the decimal point. For example, 14.3 should be written as 143 Given: The following are the scores of Grade 10 - SPJ students of Lagao NHS in a 30 - item Mathematics quiz: 26, 29, 27, 25, 20, 26, 25, 30, 25, 27, 27, 29, 26, 24, 25, 27, 25, 27, 24, 25, 30, 29, 27. Across: Down: 1. D7 1. Q2 2. Q1 2. Do 90(n+1) 4. P52 100 5. Do 4. P, 6. PAO 6. P35 7. Q3 7. P25