Grade 12 Math: Histograms Worksheet
This worksheet focuses on understanding, interpreting, and constructing histograms, including analyzing data distribution, frequency, and relative frequency. Suitable for Grade 12 math students.
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Grade 12 Math: Understanding Histograms
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Date:
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Carefully read each question and provide your answers in the space provided. Show all your work for calculations.
The histogram below shows the distribution of scores on a recent Calculus exam for 50 students.
1. What is the modal class (the class with the highest frequency) for the exam scores?
2. How many students scored between 80 and 89 (inclusive)?
3. What percentage of students scored 90 or above?
Complete the following sentences about histograms.
4. Unlike a bar graph, a histogram displays data, meaning there are no gaps between the bars.
5. The of each bar in a histogram represents the frequency of data values within that class interval.
6. When constructing a histogram, the first step after collecting data is to determine the and the number of .
7. A researcher collected the following data on the ages of participants in a study: 22, 25, 25, 28, 30, 31, 32, 33, 35, 35, 36, 38, 40, 41, 42, 45, 48, 50, 52, 55. Construct a frequency distribution table with class intervals of width 5, starting from 20-24.
8. Based on your frequency distribution table from Question 7, describe the shape of the distribution (e.g., symmetric, skewed left, skewed right).
9. Which of the following is NOT a characteristic of a histogram?
Bars touch each other
Used for continuous data
Gaps between bars represent categories
X-axis represents class intervals
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