Chapter 4 Lab: Using Technology to Calculate Statistics to Describe Data For this week's lab, please complete the following questions. You can delete the portions that are only instructions to make it easier to read. Please include your name on your work, submit your work in the Moodle link in Week 4. Activity #1: Calculating Statistics in StatCrunch We are going to enter the small set of temperature data from the Handout and then calculate the mean, median, mode, range, and standard deviation. Log into MyStatLab, and select StatCrunch/StatCrunch website/Open StatCrunch. Label the top as Temperatures (where it says var1), and then enter these values in the column below that: 32 35 28 34 29 33 26 1. Sometimes it's easier to examine data if they are listed in order from smallest to greatest. StatCrunch can do that for us. Sort the data in ascending order: Data Sort. What is the smallest value? What is the largest value? What is the range? 2. Use StatCrunch to find the number of pieces of data in your set (this is n), the mean, median, mode, range, and standard deviation of the data. Stat Summary Stats Columns. (Your results will be the same whether you select the original list or the sorted list). Please use the CTRL button and the slide bar to only calculate these statistics. Cut and paste your results here. The directions are in the Options menu on the table with your results (and in the Chapter 3 lab). 3. Which is the best measure of central tendency (mean, median, or mode) and why? Your answer should use your vocabulary from Chapter 2 to describe the kind of numbers this data set. 4. How does the standard deviation help your understanding of the set of data when you use it and the mean together? 5. Do the \"by hand\" calculations for standard deviation below and include your work and results in the lab when you submit it. Were you able to work through the steps correctly? If not, can you go back and find your arithmetic or process error and fix it, since you have the correct answer to compare it to? If not, can you show me your \"by hand\" work so I can help you figure out where you went wrong? Note: If you are having trouble figuring out how to use StatCrunch, please visit their Help menu. There are many documents, examples, and videos that can help. If that fails, ask for help! Standard Deviation: A measure of the dispersion of a set of data from its mean. These are the steps to calculate it by hand. I recommend using a table to keep track of your values; we will practice this below. Step 1: List the values and find the mean (column 1). Step 2: Find the distance between each value and the mean (column 2). Step 3: Find the squares (second power) of all the deviations from the mean (column 3). Step 4: Add all the squares of the deviations from the mean (bottom of column 3). Try this: The daily temperatures (in degrees Fahrenheit) one week in January were 32 35 28 34 29 33 26 Find the mean and the standard deviation of the temperature. Temperatures Distance from mean Square the distances Mean: Sum of these: Step 5: Divide this sum by the total number of data values minus 1: ____________________ There are SEVEN temperatures, so we divide by SIX in Step 5. Step 6: The standard deviation is the square root of this quotient. The last step is to SQUARE ROOT that weird mean. Use the key or use an exponent of .5: __________________