Station 1: SID.1 & 2

  1. Create a dot plot for the following data:

2, 3, 6, 2, 7, 4, 3, 3, 3, 2, 6, 1, 6, 4, 3, 2, 4, 5

a)Describe the shape of the data.

b)Calculate the mean & median.

c)What is the best measure of center? Why?

  1. Create a histogram for the following data:

8, 2, 4, 7.5, 10, 11, 5, 6, 8, 12, 11, 9, 6.5, 10.5, 13

d)Describe the shape of the data.

e)What is the best measure of center? Why?

  1. Create a box plot for the following data:

14
15
16
16
17 / 17
17
17
17
18 / 18
18
18
18
18 / 19
19
19
20
20 / 20
20
20
20
21 / 21
22
23
24
24 / 29

a)List the following: Min, Q1, Median, Q2, Max, IQR

b)Are there any outliers?

(Hint: lower outliers: Q1-1.5*IQR

Upper outliers: Q3 +1.5*IQR)

c)What percentage of the data falls between the min & Q1? Q1 & Q3? Min & max?

Station 2: SID.2

  1. The number of runs scored by the Lions for six games is shown below. (Multiple Choice)

5, 9, 1, 5, 2, 7

If the Lions scored 13 runs in their seventh game, which statement is true?

A. The median and the mean both remain the same.

B. The mean and the median both increase.

C. The median increases and the mean remains the same.

D. The mean increases and the median remains the same.

  1. Read the following and answer the questions.

The Caldwell Family and the Greaves Family both have 8 family members.

The ages of the Blue Family are 32, 2, 27, 39, 9, 54, 10, and 5

The ages of the Salmon Family are 22, 20, 3, 5, 27, 48, 42, and 15

  1. What is the MAD for the Blue Family?
  2. What is the MAD for the Salmon Family?
  3. What do these 2 MADs tell you about their families? How do they compare and what do they tell you in the context of the problem?

  1. Tell whether the following is true or false for the box and whisker plot above.
  2. Over half of all the parents of elementary school students are 40 or younger. T or F
  3. The range of the ages of the parents of elementary students is 20 years. T or F
  4. The ages of parents of elementary school students fall within a smaller range than the ages of parents of high school students. T or F
  5. The ranges for both elementary and high school parents are the same. T or F
  6. The majority of the parents of high school students are 35 or older. T or F
  7. A majority of all the parents are 30 years or older. T or F

Station 3: SID.5

  1. Use the table to answer questions #1 – 8.

a)How many girls play sports?

b)How many boys read?

c)How many students Watch TV overall?

d)What is the marginal frequency of students who listento music?

e)What percentage of students play sports?

f)What percentage of girls watch TV?

g)What fraction represents the number of boys who listen to music?

Curfew: Yes / Curfew: No / Total
Chores: Yes / 13 / 5 / 18
Chores: No / 12 / 3 / 15
Total / 25 / 8 / 33

a)List the joint frequencies and the marginal frequencies for the following table.

b)Create a relative frequency table for the above information

c)What percentage of students who have chores do not have a curfew?

d)What percentage of students who have a curfew have to do chores?

Station 4: SID.6, 7, & 8

  1. The scatter plot below shows data collected on the outdoor temperature and the profit at an ice cream shop.

a)Describe the relationship between the data.

b)Guess the correlation coefficient.

If the equation for the line of best fit is ,

c)What is the slope of the line? Describe it in the context of the problem.

d)What is the y-intercept of the problem? Describe it in the context of the problem.

  1. Tell the relationship (correlation) of the following graphs AND guess the correlation coefficient.

a)b)

c) d)

3. Based on the scatter plot below, answer the following questions.

a) Describe the relationship of the data

b) What would you estimate the slope to be and why?

c) What would you estimate the y-intercept to be? Why?

d) Guess the correlation coefficient.

Station 5: SID.8

  1. From the information given,
  1. Determine if the correlation is positive, negative or none.
  1. Estimate the correlation coefficient.
  1. Is there causation? Why or why not?
  1. A history teacher asked her students how many hours of sleep they had the night before a test. The data above shows the number of hours the student slept and their score on the exam. The graph is a scatter plot from the given data.
  1. Determine if the correlation is positive, negative, or none.
  1. Estimate the correlation coefficient.
  1. Is there causation? Would this information affect your behavior the night before a test?
  1. The following chart shows violent crime rates compared to high school graduation for all fifty states.
  1. Determine if the correlation is positive, negative, or none.
  1. Estimate the correlation coefficient.
  1. Is this an illustration of cause and effect, or are these two variables simply correlated?

Station 6: Vocab

  1. When data is skewed, you want to use______as a measure of central tendency.
  1. Outliers have the least effect on which measure of central tendency. (mean, median, mode, range)
  1. Mean is always the best measure of central tendency.T or F
  1. What does MAD measure?
  1. If Macy’s department store wants to know which Nike Shoe customers purchase the most, which measure would they need? (mean, median, mode, or range)
  1. For a given set of data, the mean was 25 and the median was 26. Choose the best answer to describe the data.

a. median is the best measure of central tendency for the given data.

b. The data is skewed

c. Both a and b

d. None of the above

  1. Which measure of center represents the fiftieth percentile, or the middle point in a set of numbers arranged in order of magnitude (numerical order)?
  1. If the Henry County Police Department wants to know the average number of accidents per year, which measure would they need? (mean, median, mode or range)
  1. Is this statement true or false? Any time a set of data has a large MAD, it means that the data must be skewed to the left or right.