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Lesson 2: Histograms — Practice Questions

  1. 1. Which of the following is a key feature that distinguishes a histogram from a bar chart?

    • A. Bars in a histogram have gaps between them
    • B. Bars in a histogram touch each other with no gaps
    • C. Histograms only display categorical data
    • D. Histograms show individual data points
  2. 2. Using the push-up data {12, 15, 18, 14, 20, 13, 19, 16, 14, 17}, what is the frequency for the interval $14$–$17$? ___

  3. 3. A histogram of daily temperatures uses bins $60$–$64$, $65$–$69$, $70$–$74$, and $75$–$79$ with frequencies $4$, $7$, $5$, and $2$. What is the total number of observations? ___

  4. 4. A teacher records 200 student quiz scores and wants to display the distribution. Which bin width would show the MOST detail about where scores cluster?

    • A. A bin width of 50
    • B. A bin width of 25
    • C. A bin width of 10
    • D. A bin width of 5
  5. 5. From the data set {42, 47, 45, 50, 43, 48, 46, 44, 49, 41}, which interval contains the highest frequency if bins are $41$–$44$, $45$–$48$, and $49$–$52$?

    • A. $41$–$44$
    • B. $45$–$48$
    • C. $49$–$52$
    • D. All intervals have equal frequency
  6. 6. In a histogram showing the weights of dogs at a clinic, what does the height of a single bar represent?

    • A. The number of dogs within a specific weight interval
    • B. The average weight of all dogs at the clinic
    • C. The heaviest dog's weight
    • D. The range of weights from lightest to heaviest
  7. 7. A histogram shows the number of books read by students in a month. The intervals are 0-2, 3-5, and 6-8. The tallest bar is above the 3-5 interval. The most frequent number of books read is in the range ___.

  8. 8. A histogram of daily temperatures shows that the bar for the $60-69$ degree interval is shorter than the bar for the $70-79$ degree interval. What can be concluded?

    • A. There were fewer days with temperatures in the $60-69$ degree range.
    • B. The average temperature for the month was exactly 75 degrees.
    • C. The temperature never dropped below 60 degrees.
    • D. Temperatures in the $60-69$ degree range are always colder.
  9. 9. A histogram tracks the cost of weekly groceries. The bar above the interval from 100 to 120 dollars has a frequency of 25. This means that ___ families had weekly grocery costs in that range.

  10. 10. A histogram of employee commute times shows most bars are clustered over intervals from $10$ to $30$ minutes, with very short bars for intervals above $45$ minutes. What does this suggest?

    • A. Most employees have a commute time between $10$ and $30$ minutes.
    • B. No employee has a commute longer than 45 minutes.
    • C. The average commute time is exactly 20 minutes.
    • D. Longer commutes are more common than shorter ones.