Statistics Math Quiz #1

Mr. Schmidt is teaching statistics and the data lists are long. Finding the mean would take a long time so he has decided students may bring a calculator from home to use on the unit test. What can he do to ensure that all students have a device? A Give advance notice to bring calculators and provide devices for those who do not have one. B Require students to borrow from a friend or rent one for the test. C Allow students to share devices during the test. D Only allow students with their own device to use it.

A. Give advance notice to bring calculators and provide devices for those who do not have one. Give students an opportunity to bring their own and allow them to borrow one if they forget or do not have one.

What is the median and mean of the data set below? 10, 8, 5, 3, 7, 4, 5, 9, 2, 3, 7, 3, 8, 6, 4, 1, 2, 1, 10, 3 A median: 4.5; mean: 5.05. B median: 3.5; mean: 5.05 C median: 7.0; mean: 5.05 D

A. median: 4.5; mean: 5.05 Remember that before you can find the median, the data must be arranged in order from least to greatest or greatest to least. 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 10, 10 Since there is an even number of terms (20) the median is the average of the two middle scores: (4+5)÷2=4.5(4+5)÷2=4.5 The mean is the sum of all of the numbers in the data set divided by 20, the number of items in the data set: 101÷20=5.05101÷20=5.05

List A (not shown) consists of integers that are greater than 60, and may appear more than once in the list. List B consists of the integers in list A and 3 additional integers that are each less than 60. Which of the following statements about the centers or spreads of lists A and B must be true? A The mode in list B is less than the mode in list A B The mean in list B is less than the mean in list A. C The median in list B is less than the median in list B. D The range in list B is less than the range in list A.

B The mean in list B is less than the mean in list A. The mean in list B will be less than list A since the numbers introduced in list B will bring the mean, or average, down from the original list A.

Mrs. Chen's class shares how much allowance they earn each week for doing chores at home. Eight of the nine students receive the following amounts: $15, $12, $13, $18, $20, $8, $14, $6 If the median of the data set is $13 and the range of the data set is $14. Which of the following could be the missing student's allowance? A $19 B $11 C $5 D $14

B. $11 If $11 is added, the data set becomes: $6, $8, $11, $12, $13, $14, $15, $18, $20. The median, the middle number when placed in ascending order, is $13$. The range is $20-$6=$14.

A journalist in a town with a population of 15,200 takes a random sample of 200 people and finds that 60 of them read the local newspaper. Based on this sample, which of the following is the best estimate for the number of people in the town that read the local newspaper? A 5 B 4500 C 450 D 45

B. 4500 Of the 200 people sampled, 6020020060​ or 30% read the paper. To find 30% of the town's population: (0.30)(15200)=4560(0.30)(15200)=4560. Therefore about 4500 people read the local paper.

Which of the following is a statistical question? A How tall is Mrs. Hill? B When do students have gym class? C What time is 6th grade lunch? D How many students are absent today?

B. When do students have gym class? A statistical question has a variety of answers and students may have gym at a variety of times during the day. This is a statistical question.

What is the median of the data set below? 15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15 A 44 B 54 C 48 D 47

C 48 The median is the middle value of the data set, once the data set is arranged from the lowest to the highest value. The median of the data set is 48. To find the median, simply arrange the data set from least to greatest and find the middle value: 15, 15, 18, 19, 31, 48, 54, 67, 74, 82, 94. Since there are 11 values, the 6th value - or middle value - is the median.

Mrs. Azul had each of her first graders separate a small bag of M&Ms into groups by color, arrange the groups into side by side bars, and determine which color they had the most of. What concept is Mrs. Azul introducing to her first-grade class? A range B mean C mode. D median

C.mode Mrs. Azul is having her students arrange their data (M&Ms) into bars in order to compare the heights or lengths of the bars. This is a visual representation of the bar that is the longest or has the most M&Ms - the mode. A good way for students to remember mode is to think about the word most. The mode is the piece of data (M&Ms in this case) that occurs the most frequently.

A mathematics teacher determines that the median score for the most recent test was 80 percent. Which of the following is the most accurate interpretation of the result? A The most common score on the test is 80 percent. B The highest score on the test was 80 percent. C The average score on the test is 80 percent. D Half the students scored an 80 percent or below.

D. Half the students scored an 80 percent or below. Median is the middle number in a data set. It is calculated by arranging the numbers from least to greatest and finding the number in the middle; if there is not one middle number, then the median is the average of the two numbers. For example, in the data set 1, 2, 3, 4 the median is 2.5 because 2.5 is the average of 2 and 3. If the median score is 80, then it can be assumed half the students scored below 80 and half the students scored above 80.

Mrs. John's class is struggling with statistical questions. What activity can best help them master this concept? A Give them 2 lists with examples of non-statistical questions in one column and statistical questions in the other.. B Move on to the next concept and revisit this during the test review. C Spend a day reteaching the concept using the same materials in the first lesson. D Give them a list of non-statistical questions and guide them to reword the questions to become statistical.

D.Give them a list of non-statistical questions and guide them to reword the questions to become statistical. Guiding them through this practice allows students to ask questions and recognize misunderstandings