You obtain the following data: 75, 83, 64, 75, 64, 80, 64, 56, 52, 64, 58, 52, 60, 78, 89, 56, 56. (a) Arrange the data in a Frequency Distribution with the following classes: 50-59; 60-69; (b) Draw the corresponding Histogram. (c) Draw the corresponding Stem-and-Leaf Diagram. 70-79; 80-89. (d) Find the Mean, Median, Mode, Midrange, Range, and Standard Deviation.

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## Frequency Distribution and Statistical Analysis

### Given Data:
75, 83, 64, 75, 64, 80, 64, 56, 52, 64, 58, 52, 60, 78, 89, 56, 56

### Tasks:

#### (a) Frequency Distribution
Arrange the data into a frequency distribution using the following classes:
- 50-59
- 60-69
- 70-79
- 80-89

#### (b) Histogram
Draw the corresponding Histogram based on the frequency distribution created in part (a). The histogram should represent the frequency of data points within each class interval.

#### (c) Stem-and-Leaf Diagram
Create a Stem-and-Leaf diagram for the given data. This diagram will help visualize the distribution of data while maintaining the actual data values.

#### (d) Statistical Measures
Calculate the following:
- Mean
- Median
- Mode
- Midrange
- Range
- Standard Deviation

This exercise requires arranging the data, visualizing it through diagrams, and calculating various statistical measures to understand the data's characteristics.
Transcribed Image Text:## Frequency Distribution and Statistical Analysis ### Given Data: 75, 83, 64, 75, 64, 80, 64, 56, 52, 64, 58, 52, 60, 78, 89, 56, 56 ### Tasks: #### (a) Frequency Distribution Arrange the data into a frequency distribution using the following classes: - 50-59 - 60-69 - 70-79 - 80-89 #### (b) Histogram Draw the corresponding Histogram based on the frequency distribution created in part (a). The histogram should represent the frequency of data points within each class interval. #### (c) Stem-and-Leaf Diagram Create a Stem-and-Leaf diagram for the given data. This diagram will help visualize the distribution of data while maintaining the actual data values. #### (d) Statistical Measures Calculate the following: - Mean - Median - Mode - Midrange - Range - Standard Deviation This exercise requires arranging the data, visualizing it through diagrams, and calculating various statistical measures to understand the data's characteristics.
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