Problem-Solving and Data Analysis: One-variable data-Distributions and measures of center and spread — Quiz 3

Questions in this quiz (10)

1. Data set A has $$15$$ values and is represented by a dot plot. Data set B is created by adding $$46$$ to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

   • $$The\ median\ of\ data\ set\ B\ is\ greater\ than\ the\ median\ of\ data\ set\ A,\ and\ the\ range\ of\ data\ set\ B\ is\ equal\ to\ the\ range\ of\ data\ set\ A.$$
   • $$The\ median\ of\ data\ set\ B\ is\ greater\ than\ the\ median\ of\ data\ set\ A,\ and\ the\ range\ of\ data\ set\ B\ is\ greater\ than\ the\ range\ of\ data\ set\ A.$$
   • $$The\ median\ of\ data\ set\ B\ is\ equal\ to\ the\ median\ of\ data\ set\ A,\ and\ the\ range\ of\ data\ set\ B\ is\ greater\ than\ the\ range\ of\ data\ set\ A.$$
   • $$The\ median\ of\ data\ set\ B\ is\ equal\ to\ the\ median\ of\ data\ set\ A,\ and\ the\ range\ of\ data\ set\ B\ is\ equal\ to\ the\ range\ of\ data\ set\ A.$$

2. The histograms summarize the distributions of number of units sold, in thousands, for company A and company B. Which statement best compares the standard deviations of number of units sold for these companies?

   • $$The\ standard\ deviation\ of\ number\ of\ units\ sold\ for\ company\ A\ is\ less\ than\ the\ standard\ deviation\ of\ number\ of\ units\ sold\ for\ company\ B.$$
   • $$The\ standard\ deviation\ of\ number\ of\ units\ sold\ for\ company\ A\ is\ greater\ than\ the\ standard\ deviation\ of\ number\ of\ units\ sold\ for\ company\ B.$$
   • $$The\ standard\ deviation\ of\ number\ of\ units\ sold\ for\ company\ A\ is\ equal\ to\ the\ standard\ deviation\ of\ number\ of\ units\ sold\ for\ company\ B.$$
   • $$There\ is\ not\ enough\ information\ to\ compare\ the\ standard\ deviations.$$

3. The two box plots show the distribution of number of books read over the summer by the students in two different English classes. What is the positive difference between the ranges of number of books read over the summer for the two classes?

   • 4

4. The high temperatures, in degrees Fahrenheit, over $$7$$ days are:$$82,79,81,83,81,80,84$$Which of the following is NOT equal to $$81$$ degrees Fahrenheit?

   • $$Median\ of\ the\ temperatures$$
   • $$Mean\ of\ the\ temperatures$$
   • $$Mode\ of\ the\ temperatures$$
   • $$Range\ of\ the\ temperatures$$

5. Five countries have land areas, in square kilometers:$$3,18,25,60,4$$What is the mean land area, to the nearest whole number?

   • $$18$$
   • $$22$$
   • $$24$$
   • $$30$$

6. For the data set:$$12,15,18,21,x$$The mean and median are equal. Which value is NOT possible for $$x$$?

   • $$6$$
   • $$12$$
   • $$18$$
   • $$24$$

7. Data set P consists of $$40$$ integers between $$100$$ and $$200$$. Data set Q consists of all values in P plus the number $$20$$. Which must be less for data set P than for data set Q?$$I$$. Mean$$II$$. Median

   • $$I\ only$$
   • $$II\ only$$
   • $$I\ and\ II$$
   • $$Neither\ I\ nor\ II$$

8. Percent values:$$18.5,22.1,24.7,26.9,29.3,31.0,34.2$$The median for all states is $$27.5\%$$. What is the difference between the median of this data and $$27.5\%$$?

   • $$0.6\%$$
   • $$0.8\%$$
   • $$1.0\%$$
   • $$1.2\%$$

9. A class has the following ages and frequencies:Which is the correct order?

   • mode < median < mean
   • median < mode < mean
   • mode < mean < median
   • mean < median < mode

10. Data set A has $$60$$ values with mean $$40$$. Data set B has $$90$$ values with mean $$70$$. What is the mean of the combined data set?

    • 58