FTCE 5-9 Test Prep Center for Teaching and Learning.

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FTCE 5-9 Test Prep Center for Teaching and Learning

Competency 7 Practice 1a. What is the mean test score for the 6 scores: 89, 93, 87, 86, 85, 94?

Competency 7 Practice 1b. The average annual wind speed for the 5 windiest cities in the U.S. is given below in miles per hour. What is the mean of these annual wind speeds? 15.4, 14.0, 13.5, 13.1, 12.9

Competency 7 Practice 1c. What is the median age of the 7 children whose ages are: 11, 10, 13, 11, 12, 16, 14

Competency 7 Practice 1d. Given below are the daily high temperatures for one winter week in Albany, New York. What is the mode of these temperatures: 39, 42, 34, 37, 39, 44, 41?

Competency 7 Practice 2a. Which measure of central tendency should be used? SEA College would like to prove that students with a college degree make more money on average than people with no degree. According to their data, the salaries are: $50,000, $50,000, $55,000, $45, 000, $49,000 and $200,000. Would it be best for the SEA to tell students the mean or median of the data if they want to show a high average of pay.

Competency 7 Practice 2b. Which measure of central tendency should be used? Tom is graduating from SEA College and would like a realistic estimate of the amount of money most new graduates earn. According to the data at SEA, the starting salaries of the last five graduates were: $50,000, $50,000, $55,000, $45, 000, $49,000 and $200,000. Would it be best for Tom calculate the mean or the median to find the most realistic view of starting salaries?

Competency 7 Practice 2c. Which measure of central tendency should be used? Brianna is arguing with her brother, T.J., about who is on the better soccer team. She’s using the data from their last five games. The table below shows their scores. Brianna says her team is better because they have the highest average of points. Is this correct? What measure of central tendency could T.J. use to prove her wrong?

Competency 7 Practice 2c. Which measure of central tendency should be used? Brianna is arguing with her brother, T.J., about who is on the better soccer team. She’s using the data from their last five games. The table below shows their scores. Brianna says her team is better because they have the highest average of points. Is this correct? What measure of central tendency could T.J. use to prove her wrong?

Competency 7 Practice 2d. Which measure of central tendency should be used? Mr. Brown recorded the hours his students spend on homework. The times in hours were: 1, 1.25, 1, 1.5, 1, 3.5, 1.25, 1.5, 1, 1, 1, 1.5, 1, 1.25, 1.75, 1.25,1. If Mr. Brown wants a clear view of how long the average student takes to complete homework, should he calculate the mean or median? Could the mode be used? Explain.

Competency 7 Practice 3a. What is the best graph to use to track changes over short and long periods of time?

Competency 7 Practice 3b. What is the best graph to use to compare parts to a whole?

Competency 7 Practice 3c. What is the best graph to use to compare different groups?

Competency 7 Practice 3d. What is the best graph to use to show data when people cannot read a chart?

Competency 7 Practice 4a. A purse contains four $5 bills, five $10 bills and three $20 bills. Two bills are selected without the first selection being replaced. Find probability of first selecting a $5 bill, then selecting a second $5 bill.

Competency 7 Practice 4b. If a dice is thrown twice, find the probability of getting two 5’s.

Competency 7 Practice 4c. Suppose you roll a six-sided die. Find the odds that you roll a number greater than four.

Competency 7 Practice 4d. Find the size sample space if you tossed 3 coins.

Competency 7 Practice 4e. If a dice is rolled once, what is the probability that it will show an even number?

Competency 7 Practice 4f. A bag contains 4 white counters, 6 black counters, and 1 green counter. What is the probability of drawing a white counter and a black counter?

Competency 7 Practice 4g. A deck of cards contains 52 cards, 13 from each suit. If a card is flipped over, what is the probability that it is a spade or that it is a face card (J, Q, K) of any suit?