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Chapter 2.1 to 2.5 STAT130

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  • Question 3 πŸ“ˆ Which bar chart type allows us to compare multiple groups easily? A) Simple Bar Chart B) Stacked Bar Chart C) Compound Bar Chart D) Pie Chart
    βœ… Answer: C) Compound Bar Chart
  • Question 10 πŸ“Š What is the standard deviation used for?
    βœ… Answer: It measures how spread out the data values are from the mean.
  • Question 9 πŸ“Š The range of a dataset is calculated by: A) Adding all values together B) Subtracting the smallest value from the largest C) Finding the most frequent value D) Dividing the sum by the number of values
    βœ… Answer: B) Subtracting the smallest value from the largest
  • Question 11 πŸ“Š What is a frequency distribution?
    βœ… Answer: A table that shows how often each value (or range of values) appears in a dataset.
  • Question 6 πŸ“‰ True or False: A histogram is a type of bar chart with gaps between bars.
    βœ… Answer: False (Histograms have no gaps)
  • Question 13 πŸ“Š What formula is used to determine the number of classes (k) in a frequency distribution? A) Range Γ· 2 B) Sturges’ Rule: k = 1 + 1.44 ln(n) C) (Max + Min) Γ· 2 D) Number of data points Γ· 5
    βœ… Answer: B) Sturges’ Rule: k = 1 + 1.44 ln(n)
  • Question 21 πŸ“Š What does standard deviation measure?
    βœ… Answer: How spread out the data is from the mean.
  • Question 12 πŸ“Š If the lowest value in a dataset is 10 and the highest is 50, what is the range?
    βœ… Answer: 50 - 10 = 40
  • Question 1 πŸ“Š What type of chart is best for showing trends over time? A) Bar Chart B) Line Graph C) Pie Chart D) Stem-and-Leaf Plot
    βœ… Answer: B) Line Graph
  • Question 16 πŸ“Š What is the mean of this dataset: 4, 6, 8, 10, 12?
    βœ… Answer: (4+6+8+10+12) Γ· 5 = 8
  • Question 2 πŸ“‰ What does a Pareto chart display? A) Individual and cumulative frequencies B) Only individual frequencies C) The relationship between two variables D) Skewness of data
    βœ… Answer: A) Individual and cumulative frequencies
  • Question 17 πŸ“Š If you have a bimodal dataset, what does it mean?
    βœ… Answer: The dataset has two modes (most frequently occurring values).
  • Question 19 πŸ“Š If the mean = 40 and the median = 30, is the dataset skewed?
    βœ… Answer: Yes, positively skewed (mean > median means a right-skewed distribution).
  • Question 23 πŸ“Š If the range of a dataset is 40 and it has 8 classes, what is the class width?
    βœ… Answer: 40 Γ· 8 = 5 (always round up if needed)
  • Question 15 πŸ“Š If the class limits are 10-19, 20-29, 30-39, what are the class midpoints?
    βœ… Answer: (10+19)/2 = 14.5 (20+29)/2 = 24.5 (30+39)/2 = 34.5
  • Question 22 πŸ“Š What is the formula for sample variance?
  • Question 7 πŸ“Š How do you remove gaps between bars in an Excel histogram? A) Change chart type B) Reduce bar width to 50% C) Set gap width to 0% D) Use a line graph instead
    βœ… Answer: C) Set gap width to 0%
  • Question 5 πŸ“Š What is the formula for the mean (π‘₯Μ„)?
    βœ… Answer: (Sum of all values) Γ· (Total number of values)
  • Question 4 πŸ”’ What is the mode of this dataset: 5, 7, 8, 7, 9, 10, 7, 5, 8?
    βœ… Answer: 7 (It appears the most times)
  • Question 20 πŸ“Š What measure of central tendency is best for qualitative data (e.g., survey responses)?
    βœ… Answer: Mode (It shows the most common category).
  • Question 14 πŸ“Š How do you calculate class width?
    βœ… Answer: Range Γ· Number of classes (always round up).
  • Question 8 πŸ“Š What is the median of this dataset: 12, 14, 15, 16, 18?
    βœ… Answer: 15 (Middle value when sorted)
  • Question 24 πŸ“Š True or False: A dataset with a higher standard deviation is more spread out.
    βœ… Answer: True
  • Question 25 πŸ“Š What does a positively skewed dataset look like?
    βœ… Answer: The tail is longer on the right (most values are on the lower end).
  • Question 18 πŸ“Š True or False: The median is affected by extreme values (outliers).
    βœ… Answer: False (The median is resistant to outliers, unlike the mean.)