3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows: 3.2 1.9 2.7 2.4 2.8 2.9 3.8 3.0 2.5 3.3 1.8 2.5 3.7 2.8 2.0 3.2 2.3 2.1 2.5 1.9 Calculate the standard deviation, percentile deviation and the range.
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- 12. Stem and leaf Plot: (Sample )Variable: Gas $ Key: 12 = 1:2 1 : 2 2 : 3 : 4 : 5 : 55 6 : 7 : 88 8 : 9 12a. Use the above Stem and leaf plot and calculate the range. 12b. Use the above Stem and leaf plot and calculate the Quadratic Mean. 12c. Calculate the upper fence. 12d. Estimate the standard deviation.Given Samples A and B below, Sample A: 4.9 4.6 4.8 2.7 4.2 2.0 2.1 3.1 5.0 Sample B: 3.2 2.4 3.8 4.2 4.9 5.0 3.6 4.4 2.3 a. Calculate the mean and standard deviation for each sample. Sample A: X A = 0.00; s A = 0.00 Sample B: x B= 0.00 ; s B = 0.00 Round to two decimal places if necessary b. Calculate the coefficient of variation for each sample. Sample A: CV A = 0.00% Sample B: CV B = 0.00% Round to two decimal places if necessary c. Which sample is more variable? Sample A Sample B Neither sample is more variable than the otherUse the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, 8.00, is added to those listed in the data set, do the measures of variation change much? 3.30 2.77 2.80 1.96 1.69 2.54 2.43 3.44 3.92 1.58 2.87 1.63 2.56 3.95 2.50 2.44 1.82 2.19 2.44 2.99 2.92 2.35 1.98 3.06 2.78 3.86 2.95 2.07 1.86 2.36 2.37 3.46 3.45 1.54 2.54 1.49 2.22 3.06 2.27 3.20 1.96 1.91 2.40 2.95 2.61 1.49 2.16 2.33 1.91 2.70 2.92 1.80 3.66 2.69 1.43 3.60 3.13 2.56 1.54 1.41 2.83 2.85 2.20 1.68 3.18 1.38 1.73 2.37 1.15 2.35 2.46 1.81 2.01 3.00 1.94 2.42 1.85 2.24 2.35 3.22 3.97 2.10 1.48 2.31 2.31 2.62 2.55 2.20 2.77 2.46 2.69 3.57 2.84 2.75 3.26 1.74 4.72 3.23 2.36 2.00 3.83 2.41 2.88 2.67 2.32 2.80 2.80 2.40 3.41 2.34 1.49 2.41 2.45 2.50 2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data value, the range is 3.573.57. (Type an integer or…
- The following data represents the number of children in each household on Wisteria Lane. 1, 3, 4, 0, 0, 1, 2, 3, 2, 2 Match the correct value with the correct measure of spread. 1.04 1. Range 4 2. Interquartile Range 1.32 3. Mean Absolute Deviation 4. Standard DeviationFind the sample standard deviation, coefficient of variation, and range. (Round your standard deviation to four decimal places and your coefficient of variation to two decimal places.) Given the following: 1.9, 2.4, 5.7, 4.5, 1.9, 8.5, 3.9, s CV % rangeUse the following Frequency table to calculate the standerd deviation. Class Frequency 2……4 4 5……7 6 8…….10 3 11…..13 2 14…..16 5
- A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 The 75th percentile is 5 8.5 9 10The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean ( ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.In a 2014-15 softball season, a player marked the following runs in 12 different one-day matches: 84, 25, 74, 53, 40, 31, 64, 71, 18, 63, 88, and 49. Find the standard deviation of these data. O 21.99 O 24.11 none of these O 21.31