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Quiz Instructions

Instructions: This assignment is regarding measures of central tendency. It is related to your Chapter 2 (Salkind) material. It is not timed but assignment must be submitted by the specified due date. 

 

Always save a copy of your responses to the individual assignments before you submit them (either by taking a picture of your answers or by copying and pasting your answers into a word document). You will need them for you discussion assignment and you will not always have access to your responses after you submit them. 

QUESTION 1

Below are some data from 19 college students about the total number of hours they slept on Wednesday night (the data are made up, but they do actually reflect real patterns of what sleep looks like in college students!). You'll need these data to answer the next several questions.

Number of hours slept on Wednesday Night:

8
7
8
7
7
6
5
5
6
6
7
5
8
9
8
8
7
7
9

A) What is the mean for number of hours slept on Wednesday (round your answer to three decimal points).

7

B) What is the mode for number of hours slept on Wednesday night?

The Mode is 7

C) What is the median for number of hours slept on Wednesdsay night?

Arranging the numbers in ascending order: 5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9

The median is 7

QUESTION2

Below are some data from 19 college students about the total number of hours they slept on Saturday night (the data are made up, but they do actually reflect real patterns of what sleep looks like in college students!). You'll need these data to answer the next several questions.

Number of Hours Slept on Saturday Night

10
10
8
9
6
7
7
9
10
2
7
8
9
3
9
9
10
8
9

A) What is the mean for number of hours slept on Saturday night? (round your answer to three decimal points)

7.895

B) What is the mode for number of hours slept on Saturday night?

The mode is 9

C) What is the median for number of hours slept on Saturday night?

Arranging the numbers in ascending order: 2,3,6,7,7,7,8,8,8,9,9,9,9,9,9,10,10,10,10

The median is 9

QUESTION

Is the Mean a good representation of the data for Wednesday night? How about for Saturday Night? Does it give you a good sense of what the data are like? Why or why not? For this question, I want you to think about when we would or would not want to use the mean, and think about whether the data seem to fit that situation or not. There are a few ways to answer this question correctly, as long as you justify your response with correct information, you will get credit. 

The mean for the Saturday is not a good representation compared to that of Wednesday. For the Wednesday night, the mean provides a good representation of the data since the distribution of data appears to be symmetrical. In this case, the highly symmetrical distribution shape gives similar value for three measure of central tendency (mean, median, and mode) which is evident in Wednesday night data.

QUESTION:

Is the Mode a good representation of the data for Wednesday night? How about for Saturday Night? Does it give you a good sense of what the data are like? Why or why not? There are a few ways to answer this question correctly, as long as you justify your response with correct information, you will get credit. 

On Wednesday night, there is symmetrical distribution of data based on the outcomes of the median, mode, and the mean. Therefore, mode is a good representation of data for the Wednesday night. This is a similar situation for the Saturday night since mode gives the best measure that describes the number of hours slept than the mean.

QUESTION

Is the Median a good representation of the data for Wednesday night? How about for Saturday Night? Does it give you a good sense of what the data are like? Why or why not? There are a few ways to answer this question correctly, as long as you justify your response with correct information, you will get credit. 

For Wednesday, it give a symmetrical representation for the three central tendency while for the Saturday it gives symmetrical representation to the mode alone. However, for the two nights, the median is a good representation of the data since it gives a good sense of what appears above and below it for both nights.

QUESTION

What do you notice about the difference between the amount of sleep people seem to get on Wednesday versus Saturday nights?

`Based on the data, people appear to have slept fewer hours on Wednesday than on Saturday night. The median and mean are higher for Saturday than on Wednesday.

QUESTION

Which measure of central tendency (the mean, median or the mode) best describes the pattern of data for Wednesday night? What about for Saturday night? Explain and defend your answer. 

For Wednesday night, the measure of central that best describe the pattern of data is the mean. There is normal distribution of data for the Wednesday night makes the mean to be the best measure to be used. O the other hand, the Saturday night has different value for the mean as opposed to the mode and median. The median value, therefore, best explains the number of hours slept on Saturday compared to the mean and mode.