QMST chapter 3 hw

The salary of first-year teachers at a local elementary school First, select the correct measure of center and then select the justification for your choice. Correct measure of center mean median mode Justification The salaries of teachers are qualitative data. The salaries of teachers are quantitative data with no outliers. The salaries of teachers are quantitative data with outliers.

mean The salaries of teachers are quantitative data with no outliers.

Consider the following data. 1, 1, −8, −8, 7, 1, −8 Copy Data Step 1 of 3 : Determine the mean of the given data.

1 + 1 + (-8) +(-8) + 7 + 1 + (-8) = -14 = -14 / 7 = -2

Decide if the following statement is true or false. Explain why. If the standard deviation of a data set is zero, then all entries in the data must equal zero. False; the standard deviation can never be zero because it measures the distance from the mean and distances are always greater than zero. True; since the standard deviation is equal to the mean, all the data values must be zero. False; if the standard deviation is zero, then all of the data values are equal to the mean. True; since the standard deviation is a measure of how spread out the data are, a standard deviation of zero means that all data values must be zero.

False; if the standard deviation is zero, then all of the data values are equal to the mean.

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 10, 9, 5, 8, 7, 7, 8, 8, 9, 40 Range: Population variance: Population standard deciation:

Range: Range=Largest−Smallest 40 - 5 = 35 Population variance: Population standard deciation:

It is possible to have a standard deviation of 450,000. Decide if the following statement is true or false. Explain why. False; standard deviations can never be whole numbers since they are computed from a square root. True; by definition, the only value the standard deviation cannot be is zero. True; the standard deviation can be any value greater than or equal to zero. False; a standard deviation can only assume a value between zero and one.

True; the standard deviation can be any value greater than or equal to zero.

Decide if the following statement is true or false. Explain why. It is possible to have a standard deviation of −1−1 for some data set. True; the standard deviation is a measure of how far the data are away from the mean. A negative value only means that the data are generally less than the mean. False; the standard deviation is equal to the variance squared and squared values cannot be negative. False; since the standard deviation is an average distance and is computed from a square root, it cannot be negative. True; by definition, the only value the standard deviation cannot be is zero.

False; since the standard deviation is an average distance and is computed from a square root, it cannot be negative.

Decide if the following statement is true or false. Explain why. The population variance and sample variance are the same value for the same set of data. False; the sample variance is equal to the population variance minus one. True; both the population variance and the sample variance have the same formula. Since the formulas are the same, the values are the same. False; the population variance and sample variance have different denominators in their formulas, so these values are almost always different. True; a sample is always taken from the population, so the sample variance and the population variance will always be equal.

False; the population variance and sample variance have different denominators in their formulas, so these values are almost always different.

Clara is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices. Masterful Pocketwatches: Standard deviation of stock prices =$9.72 Handy Prosthetics: Standard deviation of stock prices =$1.03 Based on the data and assuming these trends continue, which company would give Clara a stable long-term investment? Masterful Pocketwatches; the larger standard deviation indicates that Masterful Pocketwatches has less variability in its closing prices than Handy Prosthetics. Masterful Pocketwatches; the larger standard deviation indicates that Masterful Pocketwatches has a greater mean closing price than Handy Prosthetics. Handy Prosthetics; the smaller standard deviation indicates that Handy Prosthetics has a greater mean closing price than Masterful Pocketwatches. Handy Prosthetics; the smaller standard deviation indicates that Handy Prosthetics has less variability in its closing prices than Masterful Pocketwatches.

Handy Prosthetics; the smaller standard deviation indicates that Handy Prosthetics has less variability in its closing prices than Masterful Pocketwatches.

Consider the following data: 1, 1, −12, 10, 10, 10, 1 Copy Data Step 1 of 3 : Calculate the value of the sample variance. Round your answer to one decimal place.

mean: 1 + 1 + (−12) + 10 + 10 + 10 + 1 / 7 = 3 Data xixi Deviations xi−x‾‾xi−x‾ Squared Deviations (xi−x‾‾)2(xi−x‾)2 11 1−3=−21−3=−2 44 11 1−3=−21−3=−2 44 −12−12 −12−3=−15−12−3=−15 225225 1010 10−3=710−3=7 4949 1010 10−3=710−3=7 4949 1010 10−3=710−3=7 4949 11 1−3=−21−3=−2 44 Total 00 384384

The salary of players on a professional baseball team First, select the correct measure of center and then select the justification for your choice. Correct measure of center mean median mode Justification The salaries of baseball players are qualitative data. The salaries of baseball players are quantitative data with outliers. The salaries of baseball players are quantitative data with no outliers.

median The salaries of baseball players are quantitative data with outliers.

The salary of players on a professional baseball team First, select the correct measure of center and then select the justification for your choice. Correct measure of center mean median mode Justification Justification The salaries of baseball players are qualitative data. The salaries of baseball players are quantitative data with outliers. The salaries of baseball players are quantitative data with no outliers.

median The salaries of baseball players are quantitative data with outliers.

The size of popcorn containers sold at a local movie theater First, select the correct measure of center and then select the justification for your choice. Correct measure of center mean median mode Justification The popcorn sizes are quantitative data with outliers. The popcorn sizes are quantitative data with no outliers. The popcorn sizes are qualitative data.

mode The popcorn sizes are qualitative data.

The rating of professors on a scale from 1 to 5 (with 1 being the worst and 5 being the best) First, select the correct measure of center and then select the justification for your choice. Correct measure of center mean median mode Justification The ratings of professors are quantitative data with no outliers. The ratings of professors are qualitative data. The ratings of professors are quantitative data with outliers.

mode The ratings of professors are qualitative data.

Consider the following data. 1, 1, −8, −8, 7, 1, −8 Copy Data Step 3 of 3 : Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist. Selecting an option will display any text boxes needed to complete your answer. no mode unimodal bimodal multimodal

multimodal: -8, 1

Calculate the GPA of a student with the following grades: A (15 hours), C (10 hours), F (6 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.

x‾= (15)(4.0)+(10)(2.0)+(6)(0.0 )/ (15 + 10+ 6) = 80 / 31 ≈ 2.58