(Answered)MATH225N Week 3 Assignment: Measures of Central Tendency

Question

Each person in a group shuffles a deck of cards and keeps selecting a card until an ace appears. Find the mode of the following number of cards drawn from a deck until an ace appears.

14,10,7,14,9,9,10,12,9,7,12

 

Question

Find the mode of the following amounts of exercise (in hours) randomly selected runners completed during a weekend.

2,14,14,4,2,4,1,14,4,4,8

 

Question

Given the following list of the number of pens randomly selected students purchased in the last semester, find the median.

13,7,8,37,32,19,17,32,12,26

 

Question

Given the following list of data, find the median.

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

 

Question

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?

¯¯¯

Question

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.

 

Question

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

 

Question

Find the median of the following set of miles per gallon for randomly selected sports cars.

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

Question

Find the median of the following set of data.

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

Question

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?

Question

Jon loves to go bird watching at a nearby animal sanctuary. Find the mean of the following numbers of birds he spotted at the sanctuary in the last few days.

14,10,17,11,9,15,6,14

Question

Find the mode of the following list of points earned on a 16 point quiz given during a finance class.

7,7,3,2,7,16,12,16,12

Solution:

Question

Each person in a group shuffles a deck of cards and keeps selecting a card until an ace appears. Find the mode of the following number of cards drawn from a deck until an ace appears.

14,10,7,14,9,9,10,12,9,7,12

 Correct answer: mode =9 cards

Question

Find the mode of the following amounts of exercise (in hours) randomly selected runners completed during a weekend.

2,14,14,4,2,4,1,14,4,4,8

Correct answer mode=4 hours

Question

Given the following list of the number of pens randomly selected students purchased in the last semester, find the median.

13,7,8,37,32,19,17,32,12,26

Correct answer: median =18 pens

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