Math Praxis Practice Test (5003) (Answered 100% Correctly, Well Elaborated) Six children have collected these amounts in their piggy banks: $10, $33, $45, $23, $1, and $68. What is the median of their savings? a. $28 b. $33 c. $23 d. $66 answer: a. $28 Rearrange the numbers in increasing order: 1, 10, 23, 33, 45, and 68. The median of a sequence of numbers is the middle value. Since there are six numbers, there are two values in the middle 23 and 33 and, therefore, the median is the average of these values. The median is 28. What do you call questions that have more than one possible answer, and require collection of data to reach a valid answer? a. probing questions b. statistical questions c. non -statistical questions b. rhetorical questions answer: b. statistical questions A non -statistical question just has one answer that does not change. A rhetorical question does not require to be answered. Probing questions require elaboration of the topic. The weights of twenty trouts were recorded: 12, 13, 13, 1 4, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, and 34. If the weight of the heaviest trout is removed from the data, which statistical parameter will drastically change? a. range b. median c. mean d. mode answer: a. range Since the mean , median, and mode are measures of center, outliers will not have much effect. The range will be greatly affected since it measures the difference between the highest and lowest. Which of the following is the term used for the intersection of the x -axis an d the y -
axis? a. quadrant b. coordinate c. abscissa d. origin answer: d. origin Abscissa refers to the x -axis, while ordinate refers to the y -axis. Quadrant refers to the four sections in the Cartesian plane that are divided by the two axes. What shape is obtained by drawing the polygon whose vertices are the points of coordinates (2,0), (0,2), ( -2,0), and (0, -2)? a. square b. rectangle c. parallelogram d. trapezoid answer: a. square The polygon determined by the four points is a square What quadrant or axis does the point A= (0, -2) belong to? a. first quadrant b. second quadrant c. y-axis d. third quadrant answer: c. y -axis The point A=(0, -2) lies on the negative direction of the y -axis. Therefore, it does not belong to any quadrant . A ten -sided dice is thrown three times. What is the probability that the die will fall on the same number? a. 2/1000 b. 3/100 c. 3/1000 d. 1/1000 answer: d. 1/1000 The three events of throwing the die are independent. Each probability of obtaining a specific face is 1/10. Therefore, the probability of obtaining the same number is (1/10)(1/10)(1/10)=1/1000. If two fair six -sided number cubes are thrown, in which region will the sum of the two number cubes most likely to appear? blue region: 1-4
axis? a. quadrant b. coordinate c. abscissa d. origin answer: d. origin Abscissa refers to the x -axis, while ordinate refers to the y -axis. Quadrant refers to the four sections in the Cartesian plane that are divided by the two axes. What shape is obtained by drawing the polygon whose vertices are the points of coordinates (2,0), (0,2), ( -2,0), and (0, -2)? a. square b. rectangle c. parallelogram d. trapezoid answer: a. square The polygon determined by the four points is a square What quadrant or axis does the point A= (0, -2) belong to? a. first quadrant b. second quadrant c. y-axis d. third quadrant answer: c. y -axis The point A=(0, -2) lies on the negative direction of the y -axis. Therefore, it does not belong to any quadrant . A ten -sided dice is thrown three times. What is the probability that the die will fall on the same number? a. 2/1000 b. 3/100 c. 3/1000 d. 1/1000 answer: d. 1/1000 The three events of throwing the die are independent. Each probability of obtaining a specific face is 1/10. Therefore, the probability of obtaining the same number is (1/10)(1/10)(1/10)=1/1000. If two fair six -sided number cubes are thrown, in which region will the sum of the two number cubes most likely to appear? blue region: 1-4
