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,MIP2602 ASSIGNMENT 04 DUE 25AUGUST2023Question 1
1.1What type(s) of data are best for using the following?
1.1.1 A stem-and-leaf plot (2)
A stem-and-leaf plot is typically used to display numerical data, specifically
discrete data. It can be used for both small and large data sets.
1.1.2 A bar chart (2)
A bar chart is best used for visualizing categorical or discrete data. It is
suitable for comparing different categories or groups, such as comparing
sales by product category or comparing the population of different countries.
1.1.3 Pie chart (2)
Pie charts are best for displaying categorical data, specifically when
comparing the parts of a whole or the proportions of different categories.
This type of chart is visually effective for representing data that can be
divided into distinct categories and where the relationship between those
categories is important to understand.
1.1.4 Scatter plot (2)
- Continuous numerical data: Scatter plots are commonly used to visualize
the relationship between two continuous numerical variables, such as
plotting the age of individuals against their blood pressure readings.
- Discrete numerical data: Scatter plots can also be used to show the
relationship between two discrete numerical variables, such as plotting the
number of hours studied against the corresponding test scores.
1.1.5 Line graph (2)
- Time series data: Line graphs are typically used to display data that changes
over time, such as the daily temperature over a month or the stock prices
over a year.
- Continuous numerical data: Line graphs can also be used to show the
relationship between two continuous numerical variables, such as plotting
the population size of different cities against their average income.
, 1.1.6 A histogram (1)
- Continuous numerical data: Histograms are most commonly used to
represent the distribution of continuous numerical data, such as plotting the
heights of individuals in a population.
Note: Histograms can also be used to represent discrete numerical data by
grouping the values into bins and showing the frequencies of each bin.
1.1.7 Box-and-whisker plot (1)
A box-and-whisker plot is best for summarizing and visualizing numerical
data, specifically distributions of continuous variables. It allows for the
display of the minimum, first quartile, median, third quartile, and maximum
values of the data, along with any outliers. This type of plot is particularly
useful for comparing data across different groups or categories.
1.2How is the bar graph better than the pictograph? (4)
1. The bar graph provides a more precise representation of data. It uses a
numerical scale to measure values, allowing for more accurate comparisons
between different categories or groups. In contrast, the pictograph uses
symbols or pictures, which can be subjective and less precise.
2. The bar graph can accommodate a larger range of data. It can display any
number of data points, whereas the pictograph may be limited by the
number of available symbols or pictures.
3. The bar graph is more versatile in terms of the types of data it can
represent. It can display continuous or discrete data, as well as comparative
or categorical data. The pictograph, on the other hand, is mainly suitable for
categorical data, such as the number of items in different categories.
4. The bar graph allows for easier data interpretation. The clear and
straightforward nature of the bars on the graph makes it easier to
understand and interpret the data, especially for individuals who may not be
familiar with the specific symbols or pictures used in the pictograph.
1.3 When should we make use of scatter plot graphs? (1)
We should make use of scatter plot graphs when we want to visualize the
relationship between two continuous variables.
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