Name: 

Environment Canada compiled data on the number of lightning strikes per square kilometre in Alberta and British Columbia towns from 1999 to 2008.
0.42      0.04      0.81      0.40      0.03      0.74
0.28      0.03      0.70      0.23      0.03      0.66
0.13      0.02      0.61      0.12      0.01      0.58
0.10      0.00      0.49      0.07      1.08      0.43
0.05      0.91      0.42      0.04      0.88

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

Lightning Strikes (per square kilometre)	Frequency
0.00–0.19	13
0.20–0.39	2
0.40–0.59	6
0.60–0.79
0.80–0.99	3
1.00–1.19	1

Which histogram represents the following test scores?
Geography Test 2 Scores (our of 100)
94      85      77      67      54
93      83      72      64      52
90      83      72      64      48
88      81      70      62      45
86      80      68      59      45

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

At the end of a bowling tournament, three friends analyzed their scores.
Erinn’s mean bowling score is 92 with a standard deviation of 14.
Declan’s mean bowling score is 130 with a standard deviation of 18.
Matt’s mean bowling score is 116 with a standard deviation of 22.

Who had the highest scoring game during the tournament?

Environment Canada compiled data on the number of lightning strikes per square kilometre in Alberta and British Columbia towns from 1999 to 2008.
0.42      0.04      0.81      0.40      0.03      0.74
0.28      0.03      0.70      0.23      0.03      0.66
0.13      0.02      0.61      0.12      0.01      0.58
0.10      0.00      0.49      0.07      1.08      0.43
0.05      0.91      0.42      0.04      0.88

Determine the mean, to two decimal places.

Environment Canada compiled data on the number of lightning strikes per square kilometre in Alberta and British Columbia towns from 1999 to 2008.
0.42      0.04      0.81      0.40      0.03      0.74
0.28      0.03      0.70      0.23      0.03      0.66
0.13      0.02      0.61      0.12      0.01      0.58
0.10      0.00      0.49      0.07      1.08      0.43
0.05      0.91      0.42      0.04      0.88

Determine the standard deviation, to two decimal places.

A pear orchard has 20 trees with these heights, given in inches.
      110      83      104      95
      88      80      115      106
      97      100      98      93
      92      117      75      83
      122      115      89      105

Determine the standard deviation, to one decimal place.

A teacher is analyzing the class results for a physics test. The marks are normally distributed with a mean (µ) of 76 and a standard deviation (s) of 4.
Determine Guy’s mark if he scored µ + 2s.

Determine the percent of data to the left of the z-score: z = 1.44.

A poll was conducted about an upcoming election. The result that 44% of people intend to vote for one of the candidates is considered accurate within ±2.7 percent points, 19 times out of 20.
State the confidence interval.

The results of a survey have a confidence interval of 88.7% to 90.5%, 99 times out of 100.
Determine the margin of error.

Which sample size will have the greatest margin of error?

In a recent survey of high school students, one third of those surveyed said they would vote for Melissa as student council treasurer. The survey is considered accurate to within 5 percent points, 19 times out of 20.
If a high school has 1200 students, state the range of the number of votes Melissa should expect.

How would you graph the solution set for the linear inequality y + 5x 2?

Describe the boundary lines for the following system of linear inequalities.
{10y – 5x 0, 4x + 2y > 10, x   I, y   I}

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 is a constraint for this situation?

Which location best describes where would you find the optimal solutions to an objective function?

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 4
x – y 12
x + 3y 24

Objective function:
G = x – 2y

A butcher shop makes hamburger patties and sausages. Hamburger patties sell for $2 and sausage sell for $1.50. The butcher noticed that they always sell at least twice as many sausages as hamburger patties. Last week they sold 100 hamburger patties.
What is the maximum amount of profit they can make this week?

The ages of members in a hiking club are normally distributed, with a mean of 32 years and a standard deviation of 6 years. What percent of the members are between 32 and 44?

A poll was conducted about an upcoming election. The result that 52% of people intend to vote for one of the candidates is considered accurate within ±8.0 percent points, 19 times out of 20.
State the confidence interval.

How would you graph the solution set for the linear inequality 10y – 2x –20?

Determine two valid solutions for the following system of linear inequalities.
{3y – 8x 0, y > 2x – 5, x I, y I}

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

Constraints:
x 0
y 0
2x + y 10
x + y 20

Objective function:
J = –10(x + y)

Andrea and Raj are trying to control the number of text messages they send. They record the number they send every day in April.
Andrea: 22, 21, 24, 20, 31, 19, 13, 23, 16, 12, 17, 15, 14, 11, 8, 24, 19, 14, 19, 27, 22, 26, 25, 20, 24, 18, 28, 12, 18, 22
Raj: 12, 8, 9, 3, 2, 12, 33, 28, 32, 28, 29, 13, 16, 14, 30, 26, 31, 32, 32, 13, 16, 26, 18, 32, 26, 9, 10, 2, 8, 16

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

The results for the last round of the 2010 Canadian Open golf tournament are given below.
65      67      69      70      70      71      72      75
65      67      69      70      70      71      73      75
65      68      69      70      70      71      73      77
65      68      69      70      70      71      73
66      68      69      70      71      71      73
66      69      69      70      71      72      73
66      69      69      70      71      72      74
67      69      69      70      71      72      74
67      69      69      70      71      72      75
67      69      70      70      71      72      75
a) Are the golf scores normally distributed?
b) Explain how the measures of central tendency support your decision in part a).

The result of all the rolls in a game using four dice are recorded.

Sum	Frequency
4–6	5
7–9	13
10–12	31
13–15	35
16–18	29
19–21	11
22–24	2

a) Graph the data. Does the data appear to have a normal distribution?
b) Determine the mean and standard deviation of the data. Do these values validate your answer to part a)?

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 hardware store is ordering two types of Robertson wood screws.
• The #12 screws are sold in boxes of 50.
• The #14 screws are sold in boxes of 40.
• The store ordered fewer than 1000 screws in total, and at least five times as many boxes of #14 screws as #12 screws.
Determine two combinations of boxes of #12 and #14 screws the store could have ordered.