Math 131 he goal of this lab is to find descriptive statistics/tutorialoutlet
- 1. MATH 131 he goal of this lab is to find descriptive statistics FOR MORE CLASSES VISIT tutorialoutletdotcom MATH 131 Lab 3 8/16 The goal of this lab is to find descriptive statistics for your quantitative data. Part 1: V2, Quantitative Data (3 points) Use the list of all 40 numbers from Lab 1, column V2 for this part of the lab. A. Identify the name of the quantitative variable V2 that you are using _Peak Position_______. B. Use StatCrunch or Minitab to find Mean Median Mode Standard Deviation 7.9 3 1 9.35 Minimum Value Maximum Value Q1 Q3 1 33 1 11.75 Descriptive Statistics: Peak Position Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Mode Peak Position 40 0 7.90 1.48 9.35 1.00 1.00 3.00 11.75 33.00 1 C. Using the appropriate numbers from B above, make a box-and- whisker plot for your data.
- 2. What does this plot tell you about your data? Boxplot of Peak Position 35 30 Peak Position 25 20 15 10 5 0 1 MATH 131 Lab 3 The data is positively skewed. 8/16 (2 Points) D. Looking at your list in B, list your Minimum, Maximum and Mean data values. List below and then find the z-score for each. Data Value, x z-score ( z= Minimum 1 -0.726 Maximum 33 2.642 Mean 7.9 0 x−´x ) s E. How do -scores indicate a data value is above the mean? z __positive__value___________________. below the mean? _________negative value________________. What -score always corresponds to the mean? ________zero___________________. z (2 Points) F. Use Chebychev's Theorem to write a statement about the interval from 2 standard deviations below the mean to 2 standard deviations above the mean. List the specific interval you used for your data. Interpret the result in the context of your data. Based on chebyshevs theorem, about 75% of the data should be within two standard deviations from the mean. interval for my data Lower bound= -10.88 Upper bound =26.6 Values within the interval = 36 % of values within the interval = 90% The data is not consistent with chebyshevs theorem. Part 2: V3, Quantitative Data (3 Points) A. What is the name of your V3 variable? ____Weeks On Chart________________________ 2 MATH 131
- 3. Lab 3 8/16 B. Fill in the values in the chart below using the frequency distribution in Lab 2, Part 3. You may not need all of the rows below. C. Use the appropriate values in the table to find the mean for your grouped data. Show your computations. Remember ∑ (x ∙ f ) ´x = n Data Groups, using V3 Frequenc y f Class Midpoint 1-20 21-40 41-50 51-70 71-90 91-110 111-130 131-150 6 1 3 3 5 8 4 10 10.5 30.5 40.5 60.5 80.5 100.5 120.5 140.5 Total Mean= x 40 87.25 D. Use StatCrunch or Minitab to find the mean and standard deviation of the raw data.
- 4. (from Lab 1). Descriptive Statistics: Weeks on Chart Variable Mean StDev Weeks on Chart 40 0 77.28 49.64 E. Compare the answers in C and D. What accounts for any difference? 3 x∙f 63 30.5 121.5 181.5 402.5 804 482 1405 3490 MATH 131 8/16 Lab 3 For the frequency distribution, the result is an estimate as compared to that of the Minitab output which is exact as it is based on individual scores StatCrunch directions Minitab directions 1. Stat 2. Summary stats 3. Columns 1. Stat 2. Basic Stat 3. Display descriptive statistics *********************************************