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Module 2 Statistics Exam Questions and Answers, Exams of Nursing

Verified solutions to questions related to statistics, including frequency distribution, relative frequency, column and bar charts, pie charts, histogram, crosstabulation table, interquartile range, variance, standard deviation, z-score, left-skewed data, bell-shaped curve, empirical rule, covariance, and correlation coefficient. It also explains the purpose of a frequency distribution table and the steps to summarize quantitative data. useful for students studying statistics or related fields.

Typology: Exams

2022/2023

Available from 07/04/2023

MacLarenn
MacLarenn 🇺🇸

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Module 2 Statistics Exam Questions and Answers
(Verified Solutions)
frequency distribution - correct answers A tabular summary chart of data,
showing how frequently each of the various observations occurs in each
category or class
relative frequency - correct answers A ratio that compares the frequency
of each category to the total number of categories (multiply by 100 to get
relative frequency percentage)
What is the purpose of a frequency distribution table? - correct answers To
help us understand the data numerically by showing the frequency
distribution and relative percentage
What is the difference between a column chart and a bar chart? - correct
answers In a column chart, the rectangular shapes representing each
category are displayed vertically and lined up on the x-axis of the chart. The
y-axis represents the frequency.
The bar chart is the same as the column chart except the axis are
transposed.
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(Verified Solutions)

frequency distribution - correct answers ✅A tabular summary chart of data, showing how frequently each of the various observations occurs in each category or class relative frequency - correct answers ✅A ratio that compares the frequency of each category to the total number of categories (multiply by 100 to get relative frequency percentage) What is the purpose of a frequency distribution table? - correct answers ✅To help us understand the data numerically by showing the frequency distribution and relative percentage What is the difference between a column chart and a bar chart? - correct answers ✅In a column chart, the rectangular shapes representing each category are displayed vertically and lined up on the x-axis of the chart. The y-axis represents the frequency. The bar chart is the same as the column chart except the axis are transposed.

(Verified Solutions)

How does a pie chart visualize data? - correct answers ✅The wedges are easily seen to represent the individual classes of data with their respective proportions while the whole pie represents the total (n). What are the 3 steps to summarize quantitative data in a frequency distribution table? - correct answers ✅1) Determine the # of classes to be evaluated (consider the # of items in the data set & the range of the data)

  1. Determine the width of the classes (data range / # of classes)
  2. Determine the limits of each class (so that the # of classes from step 1 is correct) Histogram - correct answers ✅A graph of vertical bars representing the frequency distribution of a set of quantitative data. What columns should be shown in a frequency distribution table? - correct answers ✅Category | Calculation (#/n) | Rel. Freq. | Rel. Percentage Crosstabulation Table - correct answers ✅A tabular summary for two variables. Both variables can be categorical and/or quantitative

(Verified Solutions)

The __________ will be the only measure of central tendency for qualitative data. - correct answers ✅mode Data sets with two modes are called ________. Sets with more than two modes are called ________. - correct answers ✅bimodal / multimodal How do we find the mode of a data set? - correct answers ✅Set up a a frequency distribution table for the data with each value in the set. How do we find the mean of a data set? - correct answers ✅Sum of all values divided by the number of values recorded. How many quartiles can a data set be broken up into and what are they? - correct answers ✅3 - Q1, Q2 (equal to the median), Q What is the range of a data set? - correct answers ✅The range of a set of data is the difference between the highest and lowest values in the set.

(Verified Solutions)

Why is the range of a data set seldom used as the only measure of variability? - correct answers ✅it's only based on two observations and can be influenced by extreme values What is the interquartile range? - correct answers ✅The difference between the upper/third quartile and the lower/first quartile. Called "IQR" : 1QR = Q

  • Q What is variance and how is it calculated? - correct answers ✅It is the average of the squared deviations between each data value/observation (x1) and the mean. What's the equation for population variance? - correct answers ✅sum of the squared deviations divided by the entire population size (N) What's the equation for sample variance? - correct answers ✅sum of the squared deviations divided by the sample population size (n) The larger the variance, the more ________ the data. - correct answers ✅spread out/dispersed

(Verified Solutions)

bell shaped curve - correct answers ✅Symmetrical curve of normal distribution. Mean = median. Equal # of data values occurring on both sides of center Empirical Rule - correct answers ✅The rules given to interpret the standard deviation of a data set when it follows normal distribution/bell-shaped curve.

  • 68% of the data within a symmetrical distribution falls within +/- 1 standard deviation of the mean
  • 95% of the data fall within +/- 2 standard deviations of a mean
  • 99.7% of the data fall within +/- 3 standard deviations of the mean Covariance - correct answers ✅A measure of linear association between two variables. Positive values indicate a positive relationship; negative values indicate a negative relationship correlation coefficient - correct answers ✅a measure of the strength of the relationship between 2 variables (from -1 to +1).

(Verified Solutions)

  • A value of r close to +1 indicates a strong positive relationship between the two variables.
  • A value of r close to -1 indicates a strong negative relationship between the two variables.
  • A value of r close to 0 indicates little or no relationship between the two variables. Given a data point x, what does the z-score tell us about x? - correct answers ✅Given a data point x, the z-score tells us how many standard deviations x is from the mean.