Name: 

Determine the median of the following test scores.
History Test 1 Scores (out of 100)
90      84      77      66
89      84      77      65
86      82      75      65
86      81      72      61
84      79      70      56

Environment Canada recorded the amount of rain (in millimetres) in Victoria, BC for two months.
0      0      9.0      0      0      1.0      0
0      0      7.6      0      0      5.8      0.6
0      0      0.4      0      0      0
0      0      0      0      0      0
0      0      0      0      0      0
0      0      0      0      0      0.4
0      5.8      0      0      1.6      0.2
0      6.0      0      0      0.2      0
0      0.2      0      0      1.0      0
0      2.8      0      0      26.0      0

What value goes in the third row of this frequency table?

Precipitation (mm)	Frequency
0–4.9	56
5.0–9.9	5
10.0–14.9
15.0–19.9	0
20.0–24.9	0
25.0–29.9	1

Environment Canada recorded the amount of rain (in millimetres) in Jasper, AL for two months.
0      0      0      3.8      9.0      0      0
0      0      0      0      0      0      7.4
0.2      0      1.2      0      2.2      0
0      0      6.4      2.0      4.6      0
0      1.0      0      1.2      0      0
0      0.4      0      3.4      0      1.6
0      0      0      0      1.2      5.0
0      1.4      0      0      0.2      7.2
1.4      4.6      0      5.8      1.2      0
0      0      0      3.2      0.6      0

What value goes in the first row of this frequency table?

Precipitation (mm)	Frequency
0–1.9
2.0–3.9	5
4.0–5.9	4
6.0–7.9	3
8.0–9.9	1

Which histogram represents the following test scores?
Geography Test 1 Scores (our of 100)
98      83      81      74      62
94      83      78      72      61
92      82      77      72      55
89      82      75      66      53
84      82      75      62      44

Which histogram represents the following test scores?
Geography Test 4 Scores (our of 100)
98      82      75      66      62
95      81      72      64      58
92      80      72      62      55
85      76      72      62      55
85      75      67      62      41

A company measured the lifespan of a random sample of 30 light bulbs. Times are in hours.
      985      1001      1024      1087      952
      910      938      931      1074      1081
      1078      1080      982      1108      1022
      937      922      1017      1093      1115
      880      1048      917      1086      935
      936      986      1038      954      966

Determine the mean, to one decimal place.

Environment Canada compiled data on the number of lightning strikes per square kilometre in Saskatchewan and Manitoba towns from 1999 to 2008.
2.03      1.31      0.25      1.03      1.20      0.17
0.99      1.01      0.24      0.94      0.92      0.09
0.86      0.71      0.05      0.81      0.63      0.01
0.80      0.58      0.00      0.72      0.49      0.52
0.43      0.46      0.40

Determine the standard deviation, to two decimal places.

Chinedu recorded the time it takes him to get to school using three different routes.

Hour	1	2	3	4	5
Route 1 (min)	13	15	12	12	16
Route 2 (min)	20	18	20	12	17
Route 3 (min)	16	17	15	17	22

On which route does Chinedu have a more consistent travel time?

Which description does not describe the normal curve?

The ages of participants in a bonspiel are normally distributed, with a mean of 40 and a standard deviation of 10 years. What percent of the curlers are between 20 and 30?

A poll was conducted about an upcoming election. The results are considered accurate within ±2.7 percent points, 19 times out of 20.
State the confidence level.

The results of a survey have a confidence interval of 56.0% to 64.6%, 9 times out of 10.
Determine the margin of error.

For which inequality is (–50, –50) a possible solution?

What is the boundary line for the linear inequality 3x – 6y < 18?

Which test point is in the solution set for the linear inequality
{(x, y) | 7x – 5y < 0, x R, y R}?

Identify the point of intersection for the following system of linear inequalities.
{10y – 5x 0, 4x + 2y > 10, x   I, y   I}

Which test point is in the solution set for the following system of linear inequalities?
{2x – 5y < 2, x + y < 0, x   R, y   R}

A football stadium has 60 000 seats.
• 70% of the seats are in the lower deck.
• 30% of the seats are in the upper deck.
• At least 40 000 tickets are sold per game.
• A lower deck ticket costs $100, and an upper deck ticket costs $60.
Let x represent the number of lower deck tickets.
Let y represent the number of upper deck tickets.
Which of the following points is in the feasible region?

The following model represents an optimization problem. Determine the maximum solution.
Restrictions:
x W
y W

Constraints:
y 0
x y + 10
2x + y 80

Objective function:
T = 2y – x

The following model represents an optimization problem. Determine the maximum solution.
Restrictions:
x   R
y   R

Constraints:
x > –10
y > –10
4x y
x + y 40

Objective function:
N = 3y + x

Environment Canada compiled data on the number of lightning strikes per square kilometre in Saskatchewan and Manitoba towns from 1999 to 2008.
2.03      1.31      0.25      1.03      1.20      0.17
0.99      1.01      0.24      0.94      0.92      0.09
0.86      0.71      0.05      0.81      0.63      0.01
0.80      0.58      0.00      0.72      0.49      0.52
0.43      0.46      0.40

If the interval width is 0.5 and starts at 0.00, which range of data has no entries?

Determine the z-score for the given value.
µ = 55, s = 1, x = 54.6

Which side of the boundary line is the solution set for the linear inequality 5y + 3x  0?

Is the point (0, 0) in the solution set for the following system of linear inequalities?
{7y – 2x 5, y > 3x – 5, x I, y I}

Determine two valid solutions for the following system of linear inequalities.
{x + y > 10, y < 15 – x, x I, y I}

Joannie and Alex are trying to control the number of text messages they send. They record the number they send every day in April.
Joannie: 32, 14, 22, 33, 18, 25, 26, 20, 32, 16, 18, 25, 31, 34, 3, 8, 32, 28, 25, 18, 32, 21, 9, 10, 27, 18, 29, 22, 15, 20
Alex: 24, 0, 3, 14, 29, 24, 25, 30, 12, 18, 22, 30, 16, 19, 7, 12, 26, 21, 22, 27, 5, 19, 18, 8, 21, 25, 20, 18, 13, 15

Compare the two sets of data using a frequency polygon with seven intervals.

Hila found the data below that shows the number of ways that each sum can be obtained when rolling four dice.

Rolling Four Dice
Sum	Frequency	Sum	Frequency	Sum	Frequency
4	1	11	104	18	80
5	4	12	125	19	56
6	10	13	140	20	35
7	20	14	146	21	20
8	35	15	140	22	10
9	56	16	125	23	4
10	80	17	104	24	1

a) Determine the mean and the standard deviation.
b) Draw a frequency polygon to show the data.
c) Does the data have a normal distribution? Explain.

In a pre-election survey in Winnipeg, 22% of those surveyed said they were undecided about whom to vote for in the mayoral election. The survey is considered accurate to within 4.4 percent points, 19 times out of 20.
a) Determine the confidence level and the confidence interval.
b) If there are 450 000 eligible voters in Winnipeg, state the range of the number of people who are undecided.

Odette is setting up her social networking page:
• She wants to have no more than 460 friends on her new social networking page.
• She also wants to have at least two school friends for every karate friend.
a) Define the variables and write a system of inequalities that models this situation.
b) Describe the restrictions on the domain and range of the variables.

A refinery produces oil and gas.
• At least 1.5 L of gasoline are produced for each litre of heating oil.
• The refinery can produce up to 8.5 million litres of heating oil and 4 million litres of gasoline each day.
• Gasoline is projected to sell for $1.05 per litre. Heating oil is projected to sell for $1.90 per litre.
The company needs to determine the daily combination of gas and heating oil that must be produced to maximize revenue. Create a model to determine this combination. What would the revenue be?
Optimization Model
Let g represent the number of millions of litres of gasoline.
Let h represent the number of millions of litres of heating oil.
Let R represent the total revenue from sales in millions of dollars.
Restrictions:
g Î R, h Î R
Constraints:
g 0
h 0
g 1.5h
g 4
h 8.5
Objective function to maximize:
R = 1.05g + 1.90h