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]
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Question
- 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]
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