Descriptive Statistics (2–3 pages) The researchers investigating energy drink consumption and alcohol use want to know a bit more about how much caffeine is consumed by participants. The following...

1 answer below »


Descriptive Statistics
(2–3 pages)


The researchers investigating energy drink consumption and alcohol use want to know a bit more about how much caffeine is consumed by participants. The following dataset contains 30 participants’ caffeine consumption for a week, measured in milligrams.


270, 761, 707, 908, 891, 842, 866, 925, 305, 614, 890, 744, 599, 668, 383, 476, 922, 577, 477, 922, 617, 850, 260, 706, 270, 532, 922, 395, 683, 86


Submit calculations of the following measures of central tendency and measures of variability by hand. Write your responses in your own words. It is acceptable to number your answers, but do not copy and paste the questions into your answer document.



Note: Be sure to fully explain how you arrived at your answers and support your responses with evidence from the text and Learning Resources.


1. Compute and interpret the following hand-computed statistics for the given scenario. For each measure you compute by hand, include an explanation of your calculations (explain the steps) and what that measure tells you about the caffeine consumption of the sample. For example, each of your answers might look something like this:

“The mean of this sample is ______ milligrams of caffeine consumed in a week.The mean is calculated by _________________.The mean tells me that participants in the sample consumed ____________ in the first week.”



a. Mean


b. Median


c. Mode


d. Range


e. Deviation of the highest score from the mean


f. Estimated population standard deviation



2. Compute the following statistics for the given scenario:


a. ∑X2. (The sum of the squared Xs).
Explain your calculations, but you do not need to interpret this result in relation to the scenario.


b. (∑X)2.

(The squared sum of X).
Explain your calculations, but you do not need to interpret this result in relation to the scenario.


c. Compute the mean in SPSS and report them in your answer document. Note: Your hand-calculated mean and standard deviation may differ somewhat from the calculations in SPSS due to rounding.


d. Compute the standard deviation in SPSS and report them in your answer document. Note: Your hand-calculated mean and standard deviation may differ somewhat from the calculations in SPSS due to rounding.



3. Answer the following questions about the data:


a. Identify the type of distribution (positive skew, negative skew, or normal distribution) the data create. Explain how you know the type of distribution and what it tells you about the sample.


b. Without redoing any calculations, think critically about how each measure would be affected if the lowest score was eliminated from the dataset. Explain if each measure (mean, median, mode, deviation of the highest score from the mean, and standard deviation) would increase, decrease, or stay the same.

Answered 1 days AfterMay 06, 2021

Answer To: Descriptive Statistics (2–3 pages) The researchers investigating energy drink consumption and...

Atreye answered on May 08 2021
150 Votes
Problem 1:
(a)
The mean is calculated below:
Interpretation: the mean of the dataset is 635.6 milligrams of caffeine consumed in a week. The m
ean is calculated by dividing the sum of all observations by total number of observations. The mean explains that participants in the sample consumed 635.6 milligrams of caffeine on average in the first week.
(b)
The median is calculated below:
The total number of observations is 30.
As 30 is even number, median will be the average of 15th and 16th value of the sorted data.
Sorted data is:
86, 260, 270, 270, 305, 383, 395, 476, 477, 532, 577, 599, 614, 617, 668, 683,706,707,744, 761, 842, 850, 866, 890, 891, 908, 922, 922, 922, 925
Interpretation: the median of the dataset is 675.6 milligrams of caffeine consumed in a week. The median is calculated by taking the average of nth and th value of the sorted data where n is the total number of observations. The median explains that half of the participants’ caffeine consumption lie below 675.6 milligrams and half of the participants’ caffeine consumption lie above 675.6 milligrams.
(c)
The mode is calculated below:
922 is the mode as it has the highest frequency 3.
Interpretation: the mode of the dataset is 922 milligrams of caffeine consumed in a week. The mode is calculated by taking the value of the dataset with highest frequency. The mode explains that 922 milligrams is the most frequent consumption of caffeine.
(d)
The...
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here