Concept explainers
Determine whether each statement is true or false.
___________ 1. A set of data has just one mean and just one median, but it can has e more than one mode. [7.3b, c, d]
To check: Whether the statement “A set of data has just one mean and just one median, but it can have more than one mode” is true or false.
Answer to Problem 1MC
The statement “A set of data has just one mean and just one median, but it can have more than one mode” is True.
Explanation of Solution
Mode: The mode of a set of data is the number or numbers that occur most often. If each number occurs the same number of times, there is no mode.
It is known that mean is the average of all the given numbers whereas the median is the middle number of the data.
So, there will be only one mean and median for the given data.
From the definition of mode, it is noted that there can be more than one mode for a given set of data.
Therefore, the given statement is True.
Want to see more full solutions like this?
Chapter 7 Solutions
Basic College Mathematics
- Sports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter freestyle in the Olympics from 1984 through 2012. 1984,55.92 2000,53.83 1988,54.93 2004,53.84 1992,54.64 2008,53.12 1996,54.50 2012,53.00 (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t=84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (d) Compare the linear model you found in part (b) with the linear model you found in part (c).arrow_forwardMarket supply The following table shows the quantity S of wheat, in billions of bushels, that wheat supplies are willing to produce in a year and offer for sale at a price P, in dollars per bushel. S = quantity of wheat P = price 1.0 1.35 1.5 2.40 2.0 3.45 2.5 4.50 In economics, it is customary to plot S on the horizontal axis and P on the vertical axis, so we will think of S as a variable and of P as a function of S. a. Show that these data can be modeled by a linear function, and find its formula. b. Make a graph of the linear formula you found in part a. This is called the market supply curve. c. Explain why the market supply curve should be increasing. Hint: Think about what should happen when the price increases. d. How much wheat would suppliers be willing to produce in a year and offer for sale at a price of 3.90 per bushel?arrow_forwardMortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for 30-year fixed-rate mortgages since 1970. y=Year r=Mortgagerate 1975 9.05 1980 13.74 1985 12.43 1990 10.13 1995 7.93 2000 8.05 2005 5.87 2010 4.69 2015 3.84 a. Explain in practical terms the meaning of r(2003). b. Use the table to estimate the value of r(2003).arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning