MDM 4U Assignment #1 COMM 7
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1 MDM 4U Assignment #1 KU 12 APPS 14 COMM 7 TIPS 10 Question 1. Use the following data to complete the frequency table below. Table 1. Height of High School Students in cm Table 2. Frequency table Determine a reasonable and consistent interval range. Interval Ranges Tally Frequency 2) Use table 2 and create a histogram on graph paper. [8]KU
2 Question 2: The following are jump heights (in cm) from eleven different cats. Illustrate the data with a box and whisker plot using the number line below. Show all of your calculations. 72, 40, 95, 58, 62, 35, 56, 65, 74, 68, 90 [4]KU Question 3: What is the difference between continuous and discrete data? [2]COM Question 4: What is the difference between ordinal data and nominal data? [2]COM Question 5: For the 5 types of bias from lesson 1.6, which ones do you think will occur the most frequently and why? [3]COM
3 Question 5: (DATA IS ON THE FOLLOWING PAGE) a) Create a stem and leaf plot of the age of female tennis players when they won Wimbeldon from 1968 to What does the stem and leaf plot show you? [5] APP b) Calculate the mean, median and mode. [3]APP c) Determine the number of wins for each female tennis player and complete the frequency table. Number of Wins Tally Frequency [2]APP d) Calculate the mean for the data in part c) to determine the average number of wins. (hint: this is grouped data). [2] APP d) Which graph is more useful to you, the stem-and-leaf graph or the bar graph? Why? [2] APP
4 Womens Singles Champions, Wimbledon, 1968 to 2007 Year Womens Champion Age 1968 Billie Jean King Billie Jean King Billie Jean King Ann Haydon-Jones Margaret Smith Court Evonne Goolagong Billie Jean King Billie Jean King Chris Evert Virginia Wade Martina Navrátilová Martina Navrátilová Evonne Goolagong-Cawley Chris Evert-Lloyd Martina Navrátilová Martina Navrátilová Martina Navrátilová Martina Navrátilová Martina Navrátilová Martina Navrátilová Steffi Graf Steffi Graf Martina Navrátilová Steffi Graf Steffi Graf Steffi Graf Conchita Martínez Steffi Graf Steffi Graf Martina Hingis Jana Novotná Lindsay Davenport Venus Williams Venus Williams Serena Williams Serena Williams Maria Sharapova Venus Williams Amélie Mauresmo Venus Williams 27
5 Question 6: You have been hired by LowTech Enterprises, a company that manufactures phones to choose a battery supplier. LowTech offers a warranty program that guarantees 200 recharges of their players; that is, LowTech will repair or replace any phone that does not recharge 200 times. The original supplier of the battery was supplier X. Their competition, Supplier Y, wants to be the new exclusive battery supplier for LowTech. You choose a random sample of twenty batteries from each supplier and experimentally determine the number of recharges for each battery. The data from your experiment is as follows (the number given is how many times each battery was capable of being recharged): Supplier X: 254, 259, 256, 253, 252, 250, 250, 249, 256, 254, 250, 251, 250, 248, 248, 254, 258, 255, 258, 255 Supplier Y: 257, 306, 179, 245, 192, 164, 325, 283, 289, 293, 287, 305, 155, 267, 331, 192, 265, 279, 312, 274 X claims that their batteries will last for an average of 253 recharges, while Y claims that their batteries will last for an average of 260 recharges. Which battery supplier would you recommend? Justify your choice by considering appropriate measures of central tendency (mean, median, mode, standard deviation, range, IQR) [10] TIPS
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