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MATH225 Statistical Reasoning for the Health Sciences

Week 3 Assignment Measures of Central Tendency

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

Question Given the following list of the number of pencils randomly selected students used in a school year, find the median.

10,22,6,7,19,5,27

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 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 median of the following set of data.

35,43,18,35,29,27,19,19

Give your answer as a number only. For example, if you found the median was 34, you would enter 34.

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

Question An art collector bought 20 paintings at an art fair, and wants to know the average price of her new paintings. 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 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 Laura runs at the park after school and wants to know the mean number of miles she runs. The numbers for the miles run each day so far are listed below.

8,9,7,13,3,9,14

Find the mean number of miles she runs daily.

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 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 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

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