STATISTICS WORKSHEET

Part A : 

Decide whether each of the situations below could yield variable data.

Questions : 

1.  Your sister wants to know the typical weight for an adult cat.

2.  You want to know how tall your friend is.

3.  You want to know how far your house is from school.

4.  A car owner wants to know how much money people usually pay for a new tire.

5.  How many students were in line for lunch at the cafeteria today at 12:30 ?

Part B : 

Questions : 

6.  For which of the situations in part A can you write a statistical question? Write questions for these situations.

7.  Choose one of the questions you wrote in part B . How might you find answers to this question ? What units would you use for the answers ?

Part C : 

Questions : 

8.  The town council members want to know how much recyclable trash a typical household in town generates each week. 

Tell whether the situation could yield variable data. If possible, write a statistical question.

9.  Describe how a statistical question yields an answer with variability. Give an example.

10.  An antique collector wants to know the age of a particular chair in a shop.

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

11.  How tall do the people in your immediate and extended family tend to be?

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

12.  How tall is Sam ? 

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

13.  How much did your classmates typically spend on music downloads last year ?

Determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer.

Part D : 

Word list is given below, select the word or phrase list that best completes each sentences :

Mean     Median     Mode     Interquartile range    box plot

Five number summary    quartiles     outlier      dot plot

range     histogram    statistical question

1)  The ______ is the length of an interval containing half the data values.

2)  A ____ is a visual display that uses the five number summary.

3)  Three measures of center are  _____, ____ and _____

4)  A ________ is a visual display then uses adjacent rectangular bars to show the frequency of data points in certain intervals.

5)  The _______ of the data set is the length of an interval that includes the minimum value, the first quartile, the third quartile, and the maximum value of the data set.

6) The data value that is significantly far from the measures of the center might be an ______

7)  A ______ is a visual display that shows the frequency of each data point on the number line.

8)  A __________ anticipates variability in the responses.

Part E : 

1) Juan's first four test scores of the term were 60, 70, 80 and 90. The mean of the first four test scores is 75. Juan takes two more tests this term, but his mean test score stays the same, what could those test scores be ?

a)  70 and 90    b)  60 and 90

c)  70 and 75   d) 60 and 80

Answers

1. Variable 

2. Not variable 

3. Not variable 

4. Variable 

5. Not variable 

6.  

1 and 4

(i) How much does a typical adult cat weigh ?

(ii) How much does a tire usually cost ?

7. Sample answers :

(a) Weigh a sample of adult cats and find the mean or median weight in pounds.

(b) Ask people who recently bought a tire how much they paid in dollars, and find the mean or median.

8. Variable data

Sample answer :

How many pounds of recyclable trash does each household generate ?

9. A statistical question has many different, or variable answers. Sample example: How old are my friends’ pets ?

10. Not statistical

11. Statistical

Units : feet and inches or centimeters

12. Not statistical

13. Statistical

Units : dollars

1)  quartiles

2)  box plot

3)  Mean, median and mode

4)  Histogram

5) five number summary

6) Outlier

7)  Dotplot

8)  Statistical question

Mean of first four test scores = (60 + 70 + 80 + 90)/4

= 300/4

= 75

Option a :

Let the new test scores be 70 and 90. Then, the new mean score

= (60 + 70 + 80 + 90 + 70 + 90)/6

= 76.6

So, option a is correct.

Option b :

Let the new test scores be 60 and 90. Then, the new mean score

= (60 + 70 + 80 + 90 + 60 + 90)/6

= 450/6

= 75

So, option b is correct.

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