Statistics Problems !

  1. Please show all of your work when answering the following:I.       Use Chebyshev’s theorem to find what percent of the values will fall between 183 and 227 for a data set with a mean of 205 and standard deviation of 11. II.     Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 297 and standard deviation of 18. 2. Nine college students had eaten the following number of times at a fast food restaurant for dinner in the last ten days: 8, 0, 7, 1, 2, 3, 3, 8, 1 Find the mean, median, mode, range, and midrange for these data.  Please show all of your work. 3. A Math test has a mean of 49 and standard deviation of 10.0. Find the corresponding z scores for: I. a test score of 62 II. a test score of 30 4. Rank the following data in increasing order and find the position and value of the 67th percentile.  Please show all of your work.  2   7   3   7   9   3   1   8   0   3   5   9 5. The following data lists the average monthly snowfall for January in 15 cities around the US: 20    9     35    46    44    17    32    2530    14    28    14    9     15    20 Find the mean, variance, and standard deviation.  Please show all of your work. 6. Starting with the data values 70 and 100, add three data values to the sample so that the mean is 90, the median is 91, and the mode is 91.  Please show all of your work.