2. Please show all of your work when answering the following:

Use Chebyshev's theorem to find what percent of the values will fall between 222 and 286 for a data set with a mean of 254 and standard deviation of 16.

Use the Empirical Rule to find what two values 95% of the data will fall between for a data set with a mean of 216 and standard deviation of 12.

1. To determine the mean from the frequency table, you must first find the mid-point of each category. For example, the mid-point of the first category (61-63) is 62. You then multiply each mid-point by the frequency for that category. Sticking with the (61-63) category, you would multiply 62 by 19. Add all of the products together and divide by the sum of all frequency values.

Mean = 4, 221/63

= 67

To determine variance, we will use the following formula:

variance = sum of (x - mean)^2*f/n

where x is a mid-point value of a category, where f is the frequency of that category and n is the total frequency.

Standard deviation is simply the square root of the variance, so ...

Solution Summary

Seven complete solutions for statistics problems related to descriptive statistics (mean, median, mode, range, variance, standard deviation, percentile and more). Includes a step by step solution for a problem related to Chebyshev's theorem.

... Standard Deviation, Frequency Distribution, Correlation, Z ... k = 2 Therefore, from Chebyshev's theorem, 1 − ! = 1 ... Regression Statistics Multiple R 0.284471475 R ...

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... the given data with columns for intervals and frequencies. ... 6 of 9 Choose the correctly constructed frequency polygon ... 9 of 9 In a certain distribution, the mean ...

...Theorem to describe the distribution of this ... Fill in Relative and Cumulative Frequencies on the ... Absences Frequency Relative Frequency Cumulative Frequency 0-9 ...

... Assume that the distribution is normal. ... Table A Table B Classes Frequency Classes Frequency 2.3-2.9 24 2.3 ... and standard deviation for the two distributions above ...

... in the areas of Basic Statistics, Regression analysis ... 3. a) Use Chebyshev's theorem to find what percent ... are given the following frequency distribution for the ...

... mean is 50 with a standard deviation of 6. Use Chebyshev's theorem to tell ... Prepare a frequency distribution with a column for intervals and frequencies. ...

... Assume that the distribution is normal. ... B. Table A Table B Classes Frequency Classes Frequency 2.3-2.9 ... and standard deviation for the two distributions above. ...

... top to bottom, here are the frequency distribution, histogram, and ... Number Frequency 1 1 2 5 3 3 4 6 5 ... a histogram, and ogive using relative frequencies for the ...