27 Questions
100 Views

# Statistics Chapter 2 Homework Flashcards

Created by
@SlickBinary8749

• 2
• 3 (correct)
• 7
• 8

• 5
• 11
• 12
• 10 (correct)

• 5
• 7 (correct)
• 11
• 10
• ### For the following distribution, what is the width of each class interval?

<p>5</p> Signup and view all the answers

### What kind of frequency distribution graph shows the frequencies as bars, with no space between adjacent bars?

<p>a histogram</p> Signup and view all the answers

### What kind of frequency distribution graph shows the frequencies as bars that are separated by spaces?

<p>a bar graph</p> Signup and view all the answers

### What term is used to describe the shape of a distribution in which the scores pile up on the left-hand side of the graph and taper off to the right?

<p>positively skewed</p> Signup and view all the answers

### For the scores shown in the accompanying stem and leaf display, what is the highest score in the distribution?

<p>84</p> Signup and view all the answers

### If the following scores were placed in a stem and leaf display, how many leaves would be associated with a stem of 6?

<p>3</p> Signup and view all the answers

### It is customary to list the score categories in a frequency distribution from the highest down to the lowest.

<p>True</p> Signup and view all the answers

### A grouped frequency distribution table lists one interval as, 20-29. The width of this interval is 9 points.

<p>False</p> Signup and view all the answers

### Construct a frequency distribution for the blood types for 40 people.

<p>O: 19, A: 13, B: 5, AB: 3</p> Signup and view all the answers

### Find the value of the missing entry in the relative frequency table.

<p>0.4</p> Signup and view all the answers

### If a histogram has a bar that is taller than the others, then:

<p>the bar corresponds to the class interval containing the most observations.</p> Signup and view all the answers

### Identify the overall shape of the distribution from the given stem and leaf plot.

<p>bell-shaped</p> Signup and view all the answers

### Which of the following is a technique for improving a stemplot with very few stems but many leaves?

<p>splitting stems.</p> Signup and view all the answers

### What is the difference between a bar chart and a histogram?

<p>The bars on a bar chart do not touch while the bars of a histogram do touch.</p> Signup and view all the answers

### The class width is the difference between:

<p>the upper class limit and the lower class limit of a class</p> Signup and view all the answers

### Find (a) the number of classes and (b) the class width for community hospital admissions.

<p>4, 100</p> Signup and view all the answers

### Find (a) the number of classes and (b) the class width for live multiple births.

<p>6, 5</p> Signup and view all the answers

### A ____________________ is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency.

<p>Pareto chart</p> Signup and view all the answers

### Determine the original set of data from the given stem and leaf plot.

<p>56, 45, 78, 98, 64, 56, 79, 80, 97, 47, 59, 86, 67, 52, 41, 70, 82, 52, 40, 64, 61, 80</p> Signup and view all the answers

### Compute the relative frequency for the back, elbow, and knee categories respectively.

<p>0.4, 0.0333, 0.1667</p> Signup and view all the answers

### When a data set is skewed left the mean is substantially smaller than median.

<p>True</p> Signup and view all the answers

### When a data set is symmetric the mean is roughly equal to the median.

<p>True</p> Signup and view all the answers

### When a data set is skewed right the mean is substantially larger than the median.

<p>True</p> Signup and view all the answers

### When a data set is symmetric the mean is substantially larger than the median.

<p>False</p> Signup and view all the answers

## Study Notes

### Frequency Distributions

• To find the number of students with scores lower than a specific value, sum frequencies of intervals below that value.
• For X = 80 in exam scores: Students scoring below 80 equals the sum of intervals 75-79 (2) and 70-74 (1), totaling 3.
• For X = 20 in another distribution, count intervals below 20, which includes the scores 15-19 (5) and 10-14 (4), leading to 10 total.

### Class Intervals

• Class interval width calculated as the difference between the upper and lower limits of a class.
• For the interval 20-25, the width is 5.
• Correct class width is crucial for creating accurate frequency distributions.

### Graphical Representations

• A histogram displays frequencies as contiguous bars; there is no space between bars.
• A bar graph shows frequencies as separate bars with spaces in between.
• The shape of distribution can be skewed positively (tail on right) or negatively (tail on left).
• A bell-shaped distribution indicates a normal distribution in data.

### Stem and Leaf Displays

• The highest score in a stem and leaf display can be identified by finding the largest leaf.
• Count leaves associated with each stem to understand data distribution—stem 6 corresponds to three leaves (62, 64, 66).

### Frequency Distribution Characteristics

• It is customary for frequency distributions to be organized from highest to lowest.
• A grouped frequency distribution class width must be calculated accurately to reflect intervals.

### Statistical Terminology

• A Pareto chart displays bars in descending order of frequency, aiding in identifying the most significant categories.
• Relative frequency conveys the proportion of each category in comparison to the total.

### Data Distribution Analysis

• Left skewed data means mean < median, while right skewed means mean > median.
• Symmetric distributions have closely aligned mean and median values.
• When analyzed, they help understand trends and deviations in data sets.

### Classifications and Averages

• A distribution's classification can involve identifying the number of classes and their widths using specific criteria.
• Multiple births data reflects the complexity of statistics through intervals and frequency counts.

### Practice Scenarios

• Engaging in exercises to determine class intervals, both through calculations of widths and identification of frequencies, enhances statistical competency.
• Regularly correct affirmations regarding relationships between means and medians across varying distributions solidifies foundational knowledge.

## Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

## Description

Test your knowledge of frequency distributions with these flashcards focused on Chapter 2 of your statistics course. Each card presents a different scenario where you calculate the number of students or individuals below a specific score. Perfect for mastering key concepts in statistics!

## More Quizzes Like This

Use Quizgecko on...
Browser
Information:
Success:
Error: