WEEK 1 Topic: MEASURES OF POSITION Performance Task #1 (Ungrouped Data) Learning Activity on WORKSHEET #1 (Quarter 4/ Week #1) page 4 A. Compute the Mean of the following Ungrouped Data Mrs. Marasigan is a veterinarian. One morning, she asked Name: Grade & Section: her secretary to record the service time for 15 customers. 1. 82, 85, 79, 78, 89, 87, 88, 89, 75, 77 LET'S SOLVE Times (in minutes) taken to solve 'logic' question The following are service times in minutes. 2. 12, 17, 20, 13, 18, 15, 14, 17, 11 Calculating each average measure 27 19 14 15 9 18 16 11 16 20, 35, 55, 28, 46, 32, 25, 56, 55, 28, 37, 60, 47, 52, 17 Calculate the following using the given data. 3. 5.8, 4.9, 7.4, 6.5, 5.6, 6.3, 8.1, 6.8 members of a class were set a 'logic' 4 20 10 14 11 9 13 15 13 4. A survey of prices of 6-cubic-feet refrigerators were taken as Php6340, Php6600, question and the times (in minutes) each 1. 21 12 2 17 15 14 10 11 10 12 Php6200, Php6450, Php6500, Php6600, Php6100, Php6450 student took to solve it were noted. 2. D, 5. The following students took a test and here are their scores: Jenny - 8, 7, 10, 12, 11, 8, 9, 8, 7, 5 3. DJ Christy - 5, 8, 7, 4, 5, 7, 9, 5, 6, 3 - The MEAN value of a set of data is; sum of values "number of values 4. P30 Cherrie - 9, 7, 12, 13, 11, 12, 10, 12, 12, 8 1. What is the mean (to 2 decimal places) of the times given in the table? Jojo - 7, 9, 12, 7, 13, 8, 8, 8, 7, 6 5. Pro Lanie - 10, 11, 11, 7, 7, 8, 10, 11, 7, 10 - The MEDIAN is the middle value of an ordered set of data. Who among those students got the highest mean? (i) Write down the times in the table above in ascending order, i.c. smallest first. Who got the lowest mean? (ii) How many values are there? (iii) What is the median? B. In a class of 50 students taking Elementary Statistics, 25 are boys and 25 are girls. In a periodical test in the subject the scores were as follows: - The MODE is the value which occurs most often, i.e. the most popular (most common). 75 54 71 48 34 84 32 27 63 29 3. What is the mode of the times in the table above? 72 63 66 56 56 56 29 71 55 37 68 29 49 69 62 55 18 56 42 41 4. Which of the three measures do you think is most representative of the average time? Give your reasons. 42 41 79 72 59 29 70 43 60 61 36 52 81 38 47 50 66 37 56 70 Dress sizes sold in one week In a clothes shop, the sizes of a particular dress sold during 10 14 12 Find the mean, median and Mode of these grouped data. one week were noted and are shown in the table opposite. 16 12 10 14 5. Find the mean, mode and median for this data. 16 14 18 14 6. Which measure is of most use to the sales staff? 12 16 10 10 16 16 18 14 16 8 The wages of factory employees are shown in the table. Factory wages paid per week 10 employees are paid Php 410 7. Find the mean, mode and median of the weekly wages. 35 employees are paid Php 430 8. Which of these measures is the most useful? employees are paid Php 500 employees are paid Php 530