Question

determine whether each statement is true or false. if the statement is false, explain why.

1. in the construction of a frequency distribution, it is a good idea to have overlapping class limits, such as 10 - 20, 20 - 30, 30 - 40.
2. histograms can be drawn by using vertical or horizontal bars.
3. it is not important to keep the width of each class the same in a frequency distribution.
4. frequency distributions can aid the researcher in drawing charts and graphs.
5. the type of graph used to represent data is determined by the type of data collected and by the researcher’s purpose.
6. in construction of a frequency polygon, the class limits are used for the x axis.
7. data collected over a period of time can be graphed by using a pie graph.

select the best answer.

1. what is another name for the ogive?

a. histogram
b. frequency polygon
c. cumulative frequency graph
d. pareto chart

Explanation:

1. In a frequency - distribution, class limits should not overlap to avoid confusion in data classification. So, the statement is false.
2. Histograms can indeed be drawn using either vertical or horizontal bars to represent the frequency of data in different classes. So, the statement is true.
3. Keeping the class - width the same in a frequency distribution is important for accurate representation and analysis. So, the statement is false.
4. Frequency distributions organize data, which helps in creating various charts and graphs. So, the statement is true.
5. The choice of graph depends on the nature of data (e.g., categorical, numerical) and the researcher's goal. So, the statement is true.
6. In a frequency polygon, class mid - points are used on the x - axis, not class limits. So, the statement is false.
7. Pie graphs are used to show the proportion of different categories in a whole, not data collected over time. Time - series data is better represented by line graphs. So, the statement is false.
8. The ogive is also known as the cumulative frequency graph. It shows the cumulative frequency of data values.

Answer:

1. False
2. True
3. False
4. True
5. True
6. False
7. False
8. c. Cumulative frequency graph