Description
Week 3: Measures of Central Tendency and Variation
Week | Assignments | Due Date |
Week 3 | Graded Discussion | Suggested Due Date—
Initial Post: Wednesday of Week 3
Due Date— Responses: Sunday of Week 3 [Have two posts on two different days] |
Knewton Homework Assignments
Measures of Central Tendency (Section 2.3) Understanding Measures of Central Tendency (Section 2.3 & 2.4) Distribution Shape (Section 2.6) Standard Deviation (Section 2.7) Quartiles and Box Plots (Section 2.2) |
Sunday of Week 3 | |
Lab #1—Displaying Data | Sunday of Week 3 |
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Week 3 Assignment – Measures of Central Tendency
Objectives
3.1 Measures of Central Tendency
- Find the mean of a set of data
- Find the median of a set of data
- Find the mode of a set of data
Activity 1
Question
Given the following list of minutes randomly selected customers waited in line to buy tickets for a play, find the median.
17,11,34,22,4,9,12,31,21,15
Answer
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Activity 2
Question
Given the following list of data, find the median.
1,3,1,23,2,4,22,13,26,8
Answer
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Activity 3
Question
Find the median of the following set of data.
32,19,21,16,27,15
Answer
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Activity 4
Question
Find the median of the following list of dollars spent per customer at a deli in the last hour.
21,7,13,8,16,30,10
Answer
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Activity 5
Question
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?
Select the correct answer below:
- Population Mean μ
- Sample Mean x¯¯¯
Answer
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Activity 6
Question
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
Answer
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Activity 7
Question
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
Answer
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Activity 8
Question
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
Answer
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Activity 9
Question
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
Answer
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Activity 10
Question
Find the median of the following set of data.
7,26,7,9,11,4,15,22
Answer
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Activity 11
Question
Find the median of the following set of data.
36,22,24,30,44,13,21,34,18
Select the correct answer below
Answer
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Activity 12
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
Answer
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Activity 13
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
Answer
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Activity 14
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
Answer
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Activity 15
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
Answer
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Activity 16
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?
Select the correct answer below:
- Population Mean μ
- Sample Mean x¯¯¯
Answer
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Activity 17
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.
Provide your answer below:
Answer
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Activity 18
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?
Select the correct answer below:
- Population Mean μ
- Sample Mean x¯¯¯
Answer
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Activity 19
Question
Given the following list of data, find the median.
22,33,17,8,17,29,18,13,26,28
Answer
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Activity 20
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
Answer
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Activity 21
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
Provide your answer below:
Answer
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Activity 22
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
Answer
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