Exam 1: An Introduction to Data and Functions

Use the following to answer questions The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week. -What percentage of 13 - 17 year old males exercise more than 2 hours per week?

Two friends, Alfredo and Bob, are playing golf. Although they are about the same at driving the ball onto the green, Al is better at putting. On the 9th hole, Bob makes a 5 and Al hits into the lake and then gets stuck in a sand trap. By the time he gets to the green and makes it to the hole, his score is 12. Here are the scores for the 9 holes: Find each of the following (if necessary, round to 2 decimal places): A) Al's mean B) Al's median C) Bob's mean D) Bob' median E) Who is the better golfer "on average"? (Explain your answer.)

Find the mean of the data set below. 37, 69, 52, 40, 25, 64, 49, 73, 33, 66

The equation defines y as a function of x.

For the following data: 76, 74, 92, 86, 81, 84, 88, 78, 81, 77, 94, 16, 86, 81, 89, 80, 75, 84, 93, 90, 88, 91, 81, 76, 92 Which of the following should be considered an outlier?

Determine whether the ordered pair, (-2,3), satisfies the equation.

Find an equation that represents the relationship between x and y in this table:

Jeremy has instructed his accountant to split any deposits into his retirement account into the investments as shown in the pie chart. If Jeremy deposits $11,000 into his retirement account, how much will his accountant allocate to bonds?

On what interval is this graph decreasing. State your answer in interval notation.

Use the following to answer questions The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week. -What percentage of 13 - 17 year old males exercise 3 hours or less per week?

Use technology to graph the function and then determine the interval on which the graph is concave upward. State your answer in interval notation. y = 3.5x⁴ - 21x²

The table shows starting salaries from a survey of recent college graduates: What is the relative frequency of a graduate having a salary between $16,000 and $20,000? Round your answer to 2 decimal places.

The following table gives values for a function y=f(x). For what value(s) of x does f(x)=-9 ?

Use the following to answer questions The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week. -What percentage of 13 - 17 year old females exercise more than 5 hours per week?

Which graph most likely illustrates the average daily temperature as a function of time (in months). Assume the horizontal axis represents time.

The histogram below was created use the ages of members of a certain family. Find the relative frequency of the family members in the 31-40 age range.

In a group of seven people the heights, in inches, of six are know to be 72, 69, 65, 67, 72, and 61. If the median height of all seven people is 67, then what must the seventh (from largest to smallest) height be?

Over what interval is the function concave up? Write your answer in interval notation.

Find the value that correctly completes the ordered pair, (2,__) for the equation.

Which graph displays the solutions to the equation below?