Name: Class: Date: Univariate Multiple Choice Pre-Test. Multiple Choice Identify the choice that best completes the statement or answers the question.

Transcription

1 Name: _ lass: _ ate: Univariate Multiple hoice Pre-Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1 When using a control chart, which of the following is NOT a signal to determine if the data is out-of-control? a single point outside the control limits four successive points above/below the centerline a obvious persistent pattern two nonsuccessive points 2 standard deviations above/below the centerline 2 Ms. Jones records the value of several variables for each student in her math class. Which one of these variables is categorical? score on the final exam (out of 100 points). total number of points earned in the class (out of 500). report card grade (,,,, or E) the number of classes the student has missed. 3 onsider these 8 observations: {7, 3, 2, 6, 6, 9, 9, and 12}. What is the median? The mean age of five people in a room is 30 years. One of the people, whose age is 50 years, leaves the room. The mean age of the remaining four people in the room:

2 In a statistics class with 136 students, the professor records how much money each student has in his or her possession during the first class of the semester. The histogram below is of the data collected. 5 Using the data given, the percentage of students with under $10 in their possession is closest to: 45% 65% 55% 75% 6 Using the data given, the number of students with over $30 in their possession is closest to: consumer group surveyed the prices for a certain item in five different stores and reported the average (mean) price as $15. We visited four of the five stores and found the prices to be $10, $15, $15, and $25. ssuming that the consumer group is correct, what is the price of the item at the store that we did not visit? $10 $20 $15 $25 lgebra II Univariate Pre-Test Page 2

3 8 The grade point averages (GP) of 7 randomly selected students are: The mean GP for these students is: distribution of 6 scores has a median of 21. If the highest score is increased 3 points, the new median will be: It cannot be determined with the information given 10 If you add 5 to each value in a data set, then the standard deviation will: ecrease by 5 Stay the same Increase by 5 It depends on the values in the data set 11 You record the age, marital status, and income of a sample of 1263 women. The number of variables you have recorded is: 1263 three - age, marital status, and income four age, marital status, income, and two age and income. Marital status number of women. is not a variable because it doesn t have a unit like dollars or years. 12 The average salary of all female workers is $35,000. The average salary of all male workers is $41,000. What must be true about the average salary of all workers? It must be $38,000 It must be lower than $38,000 It must be higher than $38,000 It could be any number between $35,000 and $41,000. lgebra II Univariate Pre-Test Page 3

4 13 onsider a normal distribution, what is true about the relationship between the mean and the median? The distribution is symmetrical, and the mean is greater than the median. The distribution is symmetrical, and the mean is smaller than the median. The distribution is symmetrical, and the mean is equal to the median. There is no way to tell from the information given. 14 scientist is weighing each of 30 fish. She obtains a mean of 30 g and a standard deviation of 2 g. fter completing the weighing, she finds that the scale was misaligned and always under reported every weight by 2 g; that is, a fish that really weighed 26 g was reported to weigh 24 grams. What are the mean and standard deviation after correcting for the error in the scale? 28g and 2g 32g and 2g 28g and 4g 32g and 4g 15 The five-number summary for scores on a statistics exam is 11, 35, 61, 70, 79. In all, 380 students took the test. bout how many students had scores between 35 and 61? lgebra II Univariate Pre-Test Page 4

5 16 Ms. lackshoe made a side-by-side distribution of test scores in her class. The distributions are separated by gender: male or female student. Here are the distributions: What can be said about these distributions? Male students had a higher median score and IQR Male students had a lower median score and IQR Male students had a higher median score and a lower IRQ Male students had a lower median score and a higher IRQ 17 The box plot shows the recorded high temperatures for Traverse ity over the past month. Which of the following would be the most accurate measures of central tendency for the data? High Temperatures ( F) the median or mode the mean or range the median or range the mean or median 18 Students in a class were asked how many pets they had at home. Their answers are given below: 0, 0, 0, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8 What is the range of pet answers in the survey? lgebra II Univariate Pre-Test Page 5

6 19 The specifications for manufacturing a steel rod stipulate that the length must be ± inches. Which measurement is an allowable length? The diagram below shows the number of students in each Spanish lass at Eastern High. ased on the diagram, the median class size is: Which of the following is a discrete quantitative variable? height IQ weight age 22 Which measure of center is best for categorical data? mean mode median range lgebra II Univariate Pre-Test Page 6

7 23 Which of the following methods can be used to display categorical data: bar graph histogram boxplot control chart 24 Which of the following measures of center and variation describe the data set below: 35, 34, 40, 55, 65, 72, 77, 34, 55, 62, 33, 55, 62 mean is and population standard deviation is mean is and population standard deviation is mean is and population standard deviation is mean is and population standard deviation is Mr. Smith s iology class collected data on students shoe size. elow is a diagram of the collected data: Using this diagram, what can be said about the mean and median? the mean is greater than the median the mean and median are equal the median is greater than the mean It cannot be determine with this type of plot 26 Which of the following is a quantitative variable? eye color gender GP favorite subject lgebra II Univariate Pre-Test Page 7

8 27 Using the normal distribution below, what percent is represented by the shaded region? µ = 6,σ = % 95% 99.7% 50% 28 five number summary includes: mean, mode, median, standard deviation, and range minimum, first quartile, mean, third quartile, and maximum minimum, first quartile, third quartile, maximum, and standard deviation minimum, first quartile, median, third quartile, and maximum 29 Which measure of center is most effected by an outlier? mean mode median range 30 onsider a distribution that has a couple of high outliers, what is true about the relationship between the mean and the median? The distribution is skewed to the right, and the mean is greater than the median. The distribution is skewed to the right, and the mean is smaller than the median. The distribution is skewed to the right, and the mean is equal to the median. There is no way to tell from the information given. lgebra II Univariate Pre-Test Page 8

9 31 Is the distribution below considered symmetrical or skewed? What is the mean and standard deviation of the distribution? symmetrical, µ = 2.5,σ = 0.25 symmetrical, µ = 2.5,σ = 0.5 skewed, µ = 2.5,σ = 0.25 skewed, µ = 2.5,σ = 0.5 lgebra II Univariate Pre-Test Page 9