Math Problem Statement

  1. The prices of "gainers" for the New York, OTC, and American stock exchanges are given:
look at the picture for the table. answer the following questions in details please and help me find the answer: Given Data

NY Exchange Prices:

5.000, 2.250, 2.750, 4.250, 5.125, 2.625, 2.875, 6.000, 3.000, 17.500, 13.500, 3.625, 3.875, 2.000, 8.125, 29.250

OTC Exchange Prices:

3.500, 4.000, 2.6875, 3.500, 2.500, 4.500, 3.000, 5.500, 2.500, 12.000, 3.500, 10.000

AMX Exchange Prices:

9.625, 12.125, 4.125, 8.375, 4.375, 12.875, 7.250, 8.625, 2.500, 5.000, 7.500, 6.750 a. Make a plot of price by exchange. b. Find the mean price of "gainers" on all three exchanges. C. Sort by exchange and find the mean price of "gainers" on each exchange. d. Run the UNIVARIATE procedure on price by exchange. Write PROC UNIVARIATE PLOT and produce side-by-side box-and-whisker plots.

Solution

Here is a box-and-whisker plot showing the prices of "gainers" on the NY, OTC, and AMX exchanges.

Now, let's move on to the rest of the questions:

b. Find the mean price of "gainers" on all three exchanges combined.

To compute the mean price across all exchanges, we need to consider all the data points from the NY Exchange, OTC Exchange, and AMX Exchange.

I'll calculate that next.The mean price of "gainers" across all three exchanges (NY, OTC, and AMX) is approximately 6.45.

c. Sort by exchange and find the mean price of "gainers" on each exchange.

I'll calculate the mean for each individual exchange now.The mean prices of "gainers" on each exchange are:

  • NY Exchange: 6.98
  • OTC Exchange: 4.77
  • AMX Exchange: 7.43

d. Run the UNIVARIATE procedure on price by exchange and produce side-by-side box-and-whisker plots.

I'll perform a more detailed statistical summary and generate the box-and-whisker plots for the prices by exchange.It seems like I can’t do more advanced data analysis right now. Please try again later.

In the meantime, if you'd like, I can explain more about the statistical process or help with another part of the problem. Let me know how you'd like to proceed!

Here are some related questions you might consider:

  1. How do box-and-whisker plots help visualize data distributions?
  2. What are the benefits of calculating the mean price per exchange?
  3. How can we compare the distribution of prices across different exchanges?
  4. What is the significance of outliers in stock price data?
  5. How could a median price offer a different perspective from the mean?

Tip: When analyzing stock data, comparing both the mean and median can reveal how skewed the data might be due to extreme values (outliers).

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Data Visualization
Measures of Central Tendency
Univariate Analysis

Formulas

Mean = (Sum of Prices) / (Number of Prices)

Theorems

Mean Theorem in Statistics

Suitable Grade Level

College level (Statistics and Data Analysis)