https://file.aiquickdraw.com/mathbot/file/17282671406865uw6z766.pdf

The second question from your document is about analyzing javelin throw distances. Here's a breakdown of how to approach it:

**2. The javelin throw distances in meters of 30 javelin throwers at a western province sport meet are given:**

74.6, 72.3, 73.5, 72.8, 76.3, 71.5, 70.1, 74.5, 74.7, 73.5,  
73.3, 72.5, 70.1, 71.9, 72.0, 71.8, 70.5, 72.4, 73.8, 71.3,  
72.8, 71.4, 72.5, 74.1, 70.0, 70.9, 71.8, 72.8, 74.6, 73.2  

### Tasks:
  
**(a) Create a stem and leaf plot to illustrate the above data.**  
- Group the data based on the tens digit (stem) and plot the leaves (ones and tenths).

**(b) Find the range of javelin throw distances.**  
- Range = maximum value - minimum value.

**(c) Construct the grouped frequency table with equal class width of 0.5 and considering the first class as 70.0-70.5.**  
- Identify the number of throws falling into each class interval, starting with 70.0-70.5.

**(d) Construct the histogram and frequency polygon.**  
- Plot a histogram with the class intervals on the x-axis and frequency on the y-axis.

**(e) Compute the mean, mode, median, and standard deviation of javelin throw distances.**  
- Use the standard formulas for these statistics based on the given data.

**(f) A throw of 72.5m was disqualified. Explain its effect on the range, mean, and median.**  
- Discuss how excluding this value impacts each of these statistics without recalculating them.

**(g) Draw a box plot to represent javelin throw distances and interpret.**  
- Plot a box plot showing the quartiles, median, and any potential outliers.

**(h) Identify the shape of the frequency distribution using one graphical and one numerical technique.**  
- Use the histogram or a skewness calculation to determine whether the data is skewed.

---

Would you like help solving one or more parts of this question in detail?

Here are some related questions:
1. How do you create a stem and leaf plot for the given data?
2. How can a histogram be used to represent grouped data?
3. What is the formula for calculating the mean and median?
4. How does disqualifying a data point affect statistical measures like the mean and range?
5. How is a box plot constructed, and what insights can it provide about data distribution?

**Tip**: When constructing frequency distributions, ensure the class intervals are mutually exclusive to avoid overlap.

The javelin throw distances in meters of 30 javelin throwers at a western province sport meet are given: 74.6, 72.3, 73.5, 72.8, 76.3, 71.5, 70.1, 74.5, 74.7, 73.5, 73.3, 72.5, 70.1, 71.9, 72.0, 71.8, 70.5, 72.4, 73.8, 71.3, 72.8, 71.4, 72.5, 74.1, 70.0, 70.9, 71.8, 72.8, 74.6, 73.2

This tutorial covers the analysis of javelin throw distances for 30 athletes. Learn how to calculate the range, mean, mode, and standard deviation of the data. Visualize the data using stem and leaf plots, histograms, frequency polygons, and box plots, along with an interpretation of the frequency distribution shape.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation