Frequency Distribution Worksheet
A Grade 12 Math worksheet covering frequency distributions, including constructing tables, histograms, and calculating measures of central tendency and dispersion.
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Frequency Distribution Worksheet
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Read each question carefully and provide detailed answers. Show all your work for calculations.
1. The following data represents the scores of 25 students on a recent math test:
85, 72, 90, 78, 92, 88, 75, 81, 95, 68, 83, 79, 91, 87, 70, 84, 89, 76, 93, 80, 77, 82, 94, 71, 86
Construct a grouped frequency distribution table with 5 classes of equal width. Include columns for class interval, tally, frequency, relative frequency, and cumulative frequency.
2. Using the frequency distribution table from Question 1, draw a histogram to visually represent the data.
3. For the following dataset: 12, 15, 18, 12, 20, 22, 15, 18, 12, 16
a) The mean is .
b) The median is .
c) The mode is .
4. Which of the following is true about a negatively skewed distribution?
The mean is greater than the median.
The tail is on the right side of the distribution.
The mode is typically greater than the median.
The majority of the data is concentrated on the higher end.
5. A cumulative frequency distribution shows the number of data points that fall below the upper boundary of each class interval.
True
False
6. A dataset has the following frequency distribution:
Class Interval | Frequency ----------------|---------- 10-19 | 5 20-29 | 8 30-39 | 12 40-49 | 7 50-59 | 3
Calculate the approximate standard deviation for this grouped data.