Quantitative Data Analysis Worksheet
A Grade 12 Math worksheet focusing on quantitative data analysis, including measures of central tendency, dispersion, and graphical representation.
Includes
Standards
Topics
Quantitative Data Analysis
Name:
Date:
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Read each question carefully and provide accurate and complete answers. Show all your work where applicable.
1. The following data represents the scores of 10 students on a math test: 78, 85, 92, 78, 88, 95, 72, 80, 85, 90.
a) Calculate the mean score.
b) Determine the median score.
c) Identify the mode of the scores.
2. The standard deviation is a measure of the central tendency of a dataset.
True
False
3. A histogram is suitable for displaying categorical data.
True
False
4. Which of the following measures is most affected by outliers?
Median
Mode
Mean
Range
5. What type of graph is best suited for displaying the distribution of a continuous quantitative variable?
Bar chart
Pie chart
Histogram
Line plot
6. Consider the dataset: 12, 15, 18, 20, 25.
a) Calculate the range of the dataset.
b) Calculate the standard deviation of the dataset (round to two decimal places).
7. The following box plot represents the distribution of daily temperatures (in Celsius) in a city during a month.
a) What is the median temperature?
b) What is the interquartile range (IQR)?
c) Are there any potential outliers in this dataset?
8. A researcher collected data on the heights of 50 randomly selected adults. The data is approximately normally distributed with a mean of 170 cm and a standard deviation of 5 cm.
a) Approximately what percentage of adults would have a height between 165 cm and 175 cm?
b) What does a standard deviation of 5 cm tell us about the data?