Week 1 Assignment

# 3 3 4 1 2 1 2 4 3 2 6 1 2 1 1 1 3 2 1 1 3 1 1 4 6 7 1

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3 3 4 1 0 2 0 1 2 0 4 0 0 3 2 6 0 0 0 1 0 2 1 0 1 1 3 2 1 0 1 3 1 1 0 4 6 7 0 1 Construct a frequency distribution for this set of data, showing the absolute frequencies, relative frequencies, and cumulative relative frequencies. # of falls Frequency Relative Frequency Percent of Total Cumulative Relative Frequency Cumulative Percent of Total 0 13 0.325 32.5 0.325 32.5 1 11 0.275 27.5 0.6 60 2 5 0.125 12.5 0.725 72.5 3 5 0.125 12.5 0.85 85 4 3 0.075 7.5 0.925 92.5 6 2 0.05 5 0.975 97.5 7 1 0.025 2.5 1 100 6. Using information from the frequency distribution in Exercise 5, answer the following: a. What percentage of the nursing home residents had at least 1 fall? 67.5% b. What number of falls was the most frequent in this sample? 0 falls (with a frequency of 13) then 1 fall (with a frequency of 11). 2

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Alexandra Gaskins BST 322 29 August 2016 c. What number of falls was least frequent in this sample? 7 falls d. What percentage of residents had 2 or fewer falls? 72.5% e. What is the total size of the sample? 40 residents f. Are there any outliers in this data set? Yes 7. Would it be advantageous to group the data in Exercise 5 before constructing a frequency distribution? Why or why not? If the frequency distribution were computed manually, grouping the data would be necessary. StatCrunch does this step simultaneously when calculating the frequency distribution (see table on #5, column labeled “# of falls” on the left). You can see where this step is necessary and advantageous to calculate all frequency categories. Example: In this data, “2 falls” were recorded 5 times. You would need to group the number “2”recorded in your data in order to discover the total number recorded. From there, you are able to conclude the frequencies. 8. Draw a graphic of the frequency distribution of the data in Exercise 5 using StatCrunch. Copy and Paste your graphic from StatCrunch into your Word document submission. Describe the shape of the frequency distribution in terms of modality and skewness. Is the number of falls normally distributed? The modality of the frequency distribution is unimodal (1 peak/ high point in the data). It’s skewness shows positive asymmetric distribution (highest point to the left & lowest to the right). The number of falls are not normally distributed, because the graph does not reflect a bell-shaped curve. 9. The following set of numbers represent the scores of 30 psychiatric inpatients on a widely used measure of depression. What are the mean, median, and mode for these data?
• Summer '16
• Stewart
• Statistics, Frequency distribution, systolic blood pressure, Alexandra Gaskins

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