Use The Data Table To Answer Questions 8-11.${ \begin{tabular}{|c|} \hline States Traveled To Or Lived In \ \hline 2, 4, 6, 2, 5, 1, 11, 7, 2, 1, 5, 2, 1, 9, 12 \ \hline \end{tabular} }$8. Order The Data From Least To Greatest.
Introduction
In this article, we will be using a data table to answer a series of questions. The data table provided contains a list of numbers representing states traveled to or lived in. Our task is to order the data from least to greatest. This requires us to analyze the data, identify the smallest and largest numbers, and then arrange the data in the correct order.
The Data Table
| States Traveled To or Lived In |
|---|
| 2, 4, 6, 2, 5, 1, 11, 7, 2, 1, 5, 2, 1, 9, 12 |
Step 1: Identify the Numbers
The first step in ordering the data is to identify the individual numbers in the data table. We can see that the numbers are: 2, 4, 6, 2, 5, 1, 11, 7, 2, 1, 5, 2, 1, 9, 12.
Step 2: Remove Duplicates
The next step is to remove any duplicate numbers from the list. We can see that the number 2 appears three times, the number 1 appears three times, and the number 5 appears twice. We can remove these duplicates by creating a new list that only includes each number once.
Step 3: Order the Numbers
Now that we have removed the duplicates, we can order the numbers from least to greatest. We can start by identifying the smallest number, which is 1. We can then identify the next smallest number, which is 2. We can continue this process until we have ordered all of the numbers.
The Ordered Data
Here is the ordered data from least to greatest:
1, 1, 1, 2, 2, 2, 4, 5, 5, 6, 7, 9, 11, 12
Answer to Question 8
The ordered data from least to greatest is: 1, 1, 1, 2, 2, 2, 4, 5, 5, 6, 7, 9, 11, 12.
Answer to Question 9
To answer question 9, we need to identify the number of times each number appears in the data table. We can see that the number 1 appears three times, the number 2 appears three times, and the number 5 appears twice.
Answer to Question 10
To answer question 10, we need to identify the range of the data. The range is the difference between the largest and smallest numbers. In this case, the largest number is 12 and the smallest number is 1, so the range is 12 - 1 = 11.
Answer to Question 11
To answer question 11, we need to identify the median of the data. The median is the middle value in the ordered data. Since there are an odd number of values, the median is the middle value, which is 2.
Conclusion
Introduction
In our previous article, we used a data table to answer a series of questions. We ordered the data from least to greatest, removed duplicates, and identified the number of times each number appears in the data table. We also identified the range and median of the data. In this article, we will continue to answer your questions about data analysis.
Q&A Session
Q: What is the mode of the data?
A: The mode is the value that appears most frequently in the data. In this case, the number 2 appears three times, which is the most frequent value. Therefore, the mode of the data is 2.
Q: How do I calculate the mean of the data?
A: The mean is the average of the data. To calculate the mean, you need to add up all the values and then divide by the number of values. In this case, the sum of the values is 1 + 1 + 1 + 2 + 2 + 2 + 4 + 5 + 5 + 6 + 7 + 9 + 11 + 12 = 68. There are 14 values in the data, so the mean is 68 / 14 = 4.86.
Q: What is the interquartile range (IQR) of the data?
A: The IQR is the difference between the 75th percentile and the 25th percentile. To calculate the IQR, you need to first order the data and then find the median. The median is the middle value, which is 2. The 25th percentile is the value below which 25% of the data falls, and the 75th percentile is the value below which 75% of the data falls. In this case, the 25th percentile is 2 and the 75th percentile is 7. Therefore, the IQR is 7 - 2 = 5.
Q: How do I create a histogram of the data?
A: A histogram is a graphical representation of the data. To create a histogram, you need to divide the data into bins and then count the number of values in each bin. In this case, you can divide the data into bins of 1-2, 3-4, 5-6, 7-8, 9-10, and 11-12. The number of values in each bin is: 4, 2, 4, 2, 1, 1. You can then plot the bins on a graph and use the height of each bin to represent the frequency of the data.
Q: What is the standard deviation of the data?
A: The standard deviation is a measure of the spread of the data. To calculate the standard deviation, you need to first calculate the mean and then find the difference between each value and the mean. In this case, the mean is 4.86. The differences between each value and the mean are: -3.86, -3.86, -3.86, -2.86, -0.86, 0.86, 2.86, 4.86, 6.86, 8.86, 10.86, 12.86, 14.86. You can then calculate the variance by squaring each difference and then averaging the results. The variance is 34.86. The standard deviation is the square root of the variance, which is 5.89.
Conclusion
In this article, we answered your questions about data analysis. We discussed the mode, mean, interquartile range, histogram, and standard deviation of the data. We also provided examples of how to calculate these values. We hope that this article has been helpful in answering your questions about data analysis.