a) A wedding photographer made $500 on average in the 5 years it has been operational. A sample of 12 months were analyzed and it was found that he made an average of $620. Does the value $500 refer to the parameter or to the statistic? [1] ii. Is the value $620 a parameter or a statistic? [1] iii. State two advantages of using a sample statistic rather than a parameter. [2] b) For each the following variables, state which is quantitative and which is qualitative. If it is quantitative, state whether it is discrete or continuous. i. The amount of flour added to bake a pie [2] ii. The temperature of a glass of milk [2] iii. The addresses of all patients at a dental office c) Choose the level of measurement described below [1] i. Rate how satisfied are you with your customer service (ordinal, interval) [1] ii. The distance Madison runs every morning (interval, ratio) [1] iii. The Magazine that sells the most copies in a month (nominal, ordinal) [1] ECON1005 Introductory Statistics Question 2 [4 mark] A small Fashion Boutique sells its clothing in four size categories: Baby, Toddler, Big Kids and Adults. All the clothes are on a clothing Rack but are not organised by size. The manager wants to select a sample of 30 items of clothing to determine the average price per clothing item. Identify the sampling techniques suggested by each of the methods A, B, C and D Number each outfit and select according the number you obtain when you dip in a bag [1] Select a number of outfits from each size category in proportion to the total number of clothing item in that size. [1] Select every 5th off the rack until a sample of 30 is selected. [1] Select the first 30 outfits off the rack. [1] Question 3 [24 marks] a) The following stem-and leaf display of the dividend yields ($) for common stocks Stem-and-Leaf Display N = x Leaf Unit = 10.0 5 2 33444 11 2 668899 (14) 3 00112223344444 y 3 56778899 12 4 0002344 5 4 66789 Determine the value of x and y. [2] ii. What is the value of highest value? [1] iii. Find the modal yield of this data set. [1] b) The following data shows how many employees showed up to work every day for two weeks 12 18 09 16 11 10 08 10 13 11 15 17 16 11 Calculate the interquartile range [2] ii. Calculate the mean [3] iii. Calculate the sample standard deviation [4] c) The table below shows the weight of 20 books in grams. Weight Frequency 6-10 4 11-15 6 16-20 7 21-25 3 Using the table above to calculate the sample mean of the dataset. [3] ii. the mode of the dataset. [4] iii. the sample variance of the dataset. [4]

a) A wedding photographer made $500 on average in the 5 years it has been operational. A sample of 12 months were analyzed and it was found that he made an average of $620. Does the value $500 refer to the parameter or to the statistic? [1] ii. Is the value $620 a parameter or a statistic? [1] iii. State two advantages of using a sample statistic rather than a parameter. [2] b) For each the following variables, state which is quantitative and which is qualitative. If it is quantitative, state whether it is discrete or continuous. i. The amount of flour added to bake a pie [2] ii. The temperature of a glass of milk [2] iii. The addresses of all patients at a dental office c) Choose the level of measurement described below [1] i. Rate how satisfied are you with your customer service (ordinal, interval) [1] ii. The distance Madison runs every morning (interval, ratio) [1] iii. The Magazine that sells the most copies in a month (nominal, ordinal) [1] ECON1005 Introductory Statistics Question 2 [4 mark] A small Fashion Boutique sells its clothing in four size categories: Baby, Toddler, Big Kids and Adults. All the clothes are on a clothing Rack but are not organised by size. The manager wants to select a sample of 30 items of clothing to determine the average price per clothing item. Identify the sampling techniques suggested by each of the methods A, B, C and D Number each outfit and select according the number you obtain when you dip in a bag [1] Select a number of outfits from each size category in proportion to the total number of clothing item in that size. [1] Select every 5th off the rack until a sample of 30 is selected. [1] Select the first 30 outfits off the rack. [1] Question 3 [24 marks] a) The following stem-and leaf display of the dividend yields ($) for common stocks Stem-and-Leaf Display N = x Leaf Unit = 10.0 5 2 33444 11 2 668899 (14) 3 00112223344444 y 3 56778899 12 4 0002344 5 4 66789 Determine the value of x and y. [2] ii. What is the value of highest value? [1] iii. Find the modal yield of this data set. [1] b) The following data shows how many employees showed up to work every day for two weeks 12 18 09 16 11 10 08 10 13 11 15 17 16 11 Calculate the interquartile range [2] ii. Calculate the mean [3] iii. Calculate the sample standard deviation [4] c) The table below shows the weight of 20 books in grams. Weight Frequency 6-10 4 11-15 6 16-20 7 21-25 3 Using the table above to calculate the sample mean of the dataset. [3] ii. the mode of the dataset. [4] iii. the sample variance of the dataset. [4]

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 2 [4 mark]

A small Fashion Boutique sells its clothing in four size categories: Baby, Toddler, Big Kids and Adults. All the clothes are on a clothing Rack but are not organised by size. The manager wants to select a sample of 30 items of clothing to determine the average price per clothing item.

Identify the sampling techniques suggested by each of the methods A, B, C and D

Number each outfit and select according the number you obtain when you dip in a bag

[1]

Select a number of outfits from each size category in proportion to the total number of clothing item in that size. [1]
Select every 5^th off the rack until a sample of 30 is selected. [1]
Select the first 30 outfits off the rack. [1]

Question 3 [24 marks]

a) The following stem-and leaf display of the dividend yields ($) for common stocks

Stem-and-Leaf Display

N = x Leaf Unit = 10.0

5 2 33444

11 2 668899

(14) 3 00112223344444 y 3 56778899 12 4 0002344

5 4 66789

Determine the value of x and y. [2] ii. What is the value of highest value? [1] iii. Find the modal yield of this data set. [1]

b) The following data shows how many employees showed up to work every day for two weeks

12 18 09 16 11 10 08

10 13 11 15 17 16 11

Calculate the interquartile range [2] ii. Calculate the mean [3] iii. Calculate the sample standard deviation [4]

c) The table below shows the weight of 20 books in grams.

Weight	Frequency
6-10	4
11-15	6
16-20	7
21-25	3

Using the table above to calculate

the sample mean of the dataset. [3] ii. the mode of the dataset. [4] iii. the sample variance of the dataset. [4]

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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i. The amount of flour added to bake a pie	[2]
ii. The temperature of a glass of milk	[2]
iii. The addresses of all patients at a dental office c) Choose the level of measurement described below	[1]
i. Rate how satisfied are you with your customer service (ordinal, interval)	[1]
ii. The distance Madison runs every morning (interval, ratio)	[1]
iii. The Magazine that sells the most copies in a month (nominal, ordinal)	[1]