[Answered] MATH225N Week 3 Assignment: Measures of Central Tendencies

Question 1

An art collector bought 20 paintings at an art fair, and wants to know the average price of the paintings she purchased at the fair. She adds the prices of all the paintings and divides this number by 20 to find an average price of $350. Is this price a sample mean or a population mean, and which symbol would be used to denote it?

Ans:

Population Mean μ

Sample Mean x¯¯¯

Question 2

Given the following list of data, find the median.

22,33,17,8,17,29,18,13,26,28

Ans

Question 3

Find the mode of the following number of times each machine in a car factory needed to be fixed within the last year.

2,5,6,12,14,12,6,2,5,3,14,5

Ans:

Question 4

A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by

63,71,60,59,74,60,60,75,58.

What is the population mean of the height of his grandchildren in inches? Round your answer to the nearest tenth of an inch and do not include units.

Ans:

Question 5

Find the mode of the following hourly wages (in dollars) of randomly selected employees at an accounting office.

15,15,18,15,11,18,7,17,17,7

Ans:

Question 6

Find the median of the following set of data.

36,22,24,30,44,13,21,34,18

Ans:

Question 7

A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5′2″. Is this a sample mean or a population mean, and which symbol would be used to denote it?

Ans:

Population Mean μ

Sample Mean x¯¯¯

Question 8

A track and field coach wants to study the average 100-meter dash time of his team. A random selection of half the team has a mean time of 13 seconds. Is this mean considered a sample mean or a population mean, and which symbol would be used to denote it?

Ans:

Population Mean μ

Sample Mean x¯¯¯

Question 9

Find the mode of the following number of countries randomly selected travelers visited in the past two years.

13,13,15,7,8,4,4,7,13

Ans:

Question 10

Find the mode of the following number of pastries eaten by each guest during a tea party.

2,15,19,5,9,9,9,2,9

Ans:

Question 11

Given the following list of tips (in dollars) earned in the last hour by waiters in a Japanese restaurant, find the median.

30,17,47,47,26,17,36,31,21,17

Ans:

Question 12

Find the median of the following set of data.

7,26,7,9,11,4,15,22

Ans:

 

Solution

Question 1

An art collector bought 20 paintings at an art fair, and wants to know the average price of the paintings she purchased at the fair. She adds the prices of all the paintings and divides this number by 20 to find an average price of $350. Is this price a sample mean or a population mean, and which symbol would be used to denote it?

Ans:

Population Mean μ

Sample Mean x¯¯¯

Question 2

Given the following list of data, find the median.

22,33,17,8,17,29,18,13,26,28

Ans: 20…………..please follow the link below to purchase the solution at $5