The histogram to the right represents the weights (in kilograms ) of a group of students. Which of the following statements is most likely true about the distribution of weights shown in the histogram?
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 56m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 17m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - ExcelBonus23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - ExcelBonus28m
- Confidence Intervals for Population Means - ExcelBonus25m
- 8. Sampling Distributions & Confidence Intervals: Proportion2h 10m
- 9. Hypothesis Testing for One Sample5h 8m
- Steps in Hypothesis Testing1h 6m
- Performing Hypothesis Tests: Means1h 4m
- Hypothesis Testing: Means - ExcelBonus42m
- Performing Hypothesis Tests: Proportions37m
- Hypothesis Testing: Proportions - ExcelBonus27m
- Performing Hypothesis Tests: Variance12m
- Critical Values and Rejection Regions28m
- Link Between Confidence Intervals and Hypothesis Testing12m
- Type I & Type II Errors16m
- 10. Hypothesis Testing for Two Samples5h 37m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - ExcelBonus28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - ExcelBonus12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - ExcelBonus9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - ExcelBonus21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - ExcelBonus12m
- Two Variances and F Distribution29m
- Two Variances - Graphing CalculatorBonus16m
- 11. Correlation1h 24m
- 12. Regression3h 33m
- Linear Regression & Least Squares Method26m
- Residuals12m
- Coefficient of Determination12m
- Regression Line Equation and Coefficient of Determination - ExcelBonus8m
- Finding Residuals and Creating Residual Plots - ExcelBonus11m
- Inferences for Slope31m
- Enabling Data Analysis ToolpakBonus1m
- Regression Readout of the Data Analysis Toolpak - ExcelBonus21m
- Prediction Intervals13m
- Prediction Intervals - ExcelBonus19m
- Multiple Regression - ExcelBonus29m
- Quadratic Regression15m
- Quadratic Regression - ExcelBonus10m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA2h 29m
2. Describing Data with Tables and Graphs
Histograms
Multiple Choice
Which of the following best describes a key difference between a histogram and a bar graph?
A
Both histograms and bar graphs require the data to be .
B
A bar graph is used only for data, while a histogram is used only for data.
C
A histogram always has between the bars, while a bar graph never has .
D
A histogram displays the of data within intervals, while a bar graph displays the of data in categories.
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Verified step by step guidance1
Step 1: Understand the purpose of a histogram. A histogram is used to display the frequency distribution of continuous numerical data, where data is grouped into intervals or bins.
Step 2: Understand the purpose of a bar graph. A bar graph is used to display frequencies or counts of discrete categories, which can be categorical or numerical but are distinct and separate groups.
Step 3: Recognize the visual difference. In a histogram, bars are adjacent with no gaps because the intervals represent continuous data ranges. In a bar graph, bars are separated by gaps to emphasize the distinct categories.
Step 4: Analyze the options given. The key difference is that histograms represent continuous data intervals, while bar graphs represent discrete categories, which aligns with the correct answer.
Step 5: Summarize the key distinction: A histogram shows frequency distribution over continuous intervals without gaps, whereas a bar graph shows frequency of distinct categories with gaps between bars.
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