Assignment 1

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School

Algonquin College *

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2311

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Statistics

Date

Apr 3, 2024

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docx

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Uploaded by ElderSheep2185

1 Name : Ayah Alasttal Assignment 1 (6%) This assignment relates to the Course Learning Requirement CLR1 Understand data description and presentation. Objective of this Assignment : Evaluate basic statistical concepts and the graphical representation of data. Instructions: Use Word or Excel to complete the following exercises. Please show all your work. 1) What is the level of measurement for these items related to the newspaper business? (6 points) a) The number of papers sold each Sunday during 2014. Ratio b) The number of employees in each of the departments, such as editorial, advertising, sports, and so on. Ratio c) A summary of the number of papers sold by county. Ratio d) The number of years with the paper for each employee. Ratio e) The number of male and female employees. Ratio f) The height of each employee. Ratios 2) For each of the following, determine whether the group is a sample or a population. (4 points) a) The participants in a study of a new diabetes drug. Sample b) The drivers who received a speeding ticket in Halifax last month. Population c) Those on welfare in Victoria, B.C. Population d) The 30 stocks reported as a part of the Toronto Stock Exchange (TSX). Sample 3) Consider some box office sales with its associated box office budget (total amount available to spend making the picture). Is the variable "box office sales" ... (3 points) a) qualitative or quantitative? Quantitative b) discrete or continuous? Discrete

2 c) What is the level of measurement for this variable? Ratio 4) The National Household Survey conducted by Statistics Canada in 2011 reports: (6 points) Aboriginal Identity Number First Nations 851 560 Metis 451 795 Inuit 59 445 Other 26 475 Multiple identities 11 415 a) Construct a bar chart for the data. b) Create a table and add relative frequencies. Aboriginal Identity Number Relative Frequency Percentage First Nations 851,560 0.608 60.8% Metis 451,795 0.323 32.3% Inuit 59,445 0.042 4.2% Other 26,475 0.019 1.9% Multiple Identities 11,415 0.008 0.8% c) Construct a pie chart for the data.

3 5) The Quick Change Oil Company has a number of outlets. The numbers of oil changes at the Oak Street outlet in the past 20 days are in the table below: (7 points) 65 98 55 62 79 59 51 90 72 56 70 62 66 80 94 79 63 73 71 85 a) How many classes would you recommend? 2 K ≥ n, n = 20 k (recommended classes number) must be higher than 20. 2 5 = 32 Then, k the number of the recommended classes is 5. b) What class interval would you suggest? (round to nearest one) i = class interval, k = 5, max value = 98, min value = 51 i ≥ max value – min value / k i ≥ (98 – 51) / 5 i ≥ 9.4 The class intervals I suggest is 10 c) What lower limit would you recommend for the first class? I would recommend 50 as the lower limit for the first class. d) Organise the information into a frequency distribution and determine the relative frequency distribution (round to nearest 100-th). Class intervals Frequency Relative Frequency

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4 50 – less than 60 4 0.20 60 – less than 70 5 0.25 70 – less than 80 6 0.30 80 – less than 90 2 0.10 90 – less than 100 3 0.15 TOTAL 20 1.00 e) Comment on the shape of the distribution. The shape is positively skewed. 6) The following chart shows the number of patients admitted daily to Memorial Hospital through the emergency room: (5 points) a) What is the midpoint of the 2 up to 4 class? 3 Midpoint = (lower point + highest point) / 2 Midpoint = (2+4) / 2 Midpoint = 3 b) How many days were 2 up to 4 patients admitted? 28 c) Approximately how many days were studied? Approximately 86 d) What is the class interval? 2 e) What is this chart called? Frequency polygon 7) The following chart shows the selling price, in thousands of dollars, of houses sold last month in Corner Brook, Newfoundland: (6 points)

5 a) How many homes were studied? 200 b) What is the class interval? 50 c) One hundred homes sold for less than what amount? 200K d) About 75% of the homes sold for less than what amount? 250K e) Estimate the number of homes in the $150,000 up to $200,000 class. 50 f) About how many homes sold for less than $225,000? 150 8) Stop-One.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days. (6 points) Lead Time (days) Frequenc y 0 to under 5 6 5 to under 10 7 10 to under 15 12 15 to under 20 8 20 to under 25 7 Total 40 a) Convert the frequency distribution to a more-than cumulative frequency distribution. Lead Time (days) Frequency More-than cumulative frequency 0 to under 5 6 40 5 to under 10 7 34 10 to under 15 12 27 15 to under 20 8 15 20 to under 25 7 7 Total 40

6 b) Develop cumulative frequency polygons based on part a. c) About 25% of the orders were filled in how many days or more? 18 days (15 to under 20 )

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