Free Printable MID TERM STA MDC 2025

1.

Data is defined as

a)

distinct pieces of information

b)

similar pieces of data

c)

similar pieces of data

d)

finding wrong information

2.

Quantitive data takes on _____ values

a)

proper

b)

normal

c)

numeric

d)

odd

3.

Data type:

Ratings on a survey (Poor, Ok, great)

a)

quantitative

b)

categorical

4.

Data type:

Income

a)

Categorical

b)

quantitative

5.

Data do not have an order or ranking

a)

ordinal

b)

nominal

6.

data take on a ranked ordering

a)

ordinal

b)

nominal

7.

Discrete data type is

a)

data can be split into smaller and smaller units, and still a smaller unit exists

b)

data that only takes on countable values

c)

data that comes in order

d)

data that cannot be split into smaller units

8.

data can be split into smaller and smaller units, and still a smaller unit exists

a)

data types

b)

discrete

c)

continuous

d)

nominal

9.

type of dog breeds (German Shepard, Collie, etc) is

a)

nominal

b)

discrete

10.

Four aspects to Quantitative data:

a)

measures of center->shape of data->measures of spread->outliers

b)

measures of center->shape of data->measures of spread->median

c)

measures of center->shape of spread->measures of data->outliers

d)

measures of bottom->shape of data->measures of spread->outliers

e)

None of above

11.

mean, median, mode

a)

measures of data

b)

measurements

c)

measures of center

d)

calculator for statistics

e)

calculator for statistics

12.

The median splits our data so that ___% of our values are lower and____% higher.

(a)

13.

If we have ____ numbers, the median is the number in the direct middle.

a)

odd

b)

even

c)

normal

14.

If we have ____ numbers, the median is the average of the two values in the middle.

a)

regular

b)

odd

c)

even

15.

most frequently observed value in our dataset.

a)

median

b)

mode

c)

repetitive

d)

mean

16.

What is the mode?

1, 1, 2, 2, 3, 3, 4, 4, 5, 5

a)

2

b)

3

c)

1, 2, 3, 4, 5

d)

No mode

17.

universal language used by academic and industry professionals to convey mathematical ideas.

a)

notation

b)

connotation

c)

problem

d)

datasets

18.

represented by capital letters

a)

Random Variables

b)

Defined variables

19.

What is aggregation?

a)

way to turn odd numbers into fewer numbers

b)

way to turn even numbers into fewer numbers

c)

way to turn all numbers into fewer numbers

d)

way to turn multiple numbers into fewer numbers

20.

Is summation is a common aggregation?

a)

not sure

b)

yes

c)

no

21.

The frequency distribution above shows the grades earned by 144 students in Math. What is the relative frequency of those who earned a C? Round to the nearest hundredth.

a)

$0.44$

b)

$0.76$

c)

$2.25$

d)

$1.31$

22.

The frequency distribution above shows the grades earned by 144 students in Math. What is the cumulative frequency of those who earned at least a D? Round to the nearest whole number.

a)

$144$

b)

$132$

c)

$64$

d)

$110$

23.

Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these.

a)

Symmetric

b)

Skewed Right

c)

Skewed Left

d)

Uniform

24.

Ten students were asked how many times each week they buy lunch at school. The results are shown below.

2, 1, 5, 2, 3, 3, 5, 3, 4, 2

Which of the following dot plots correctly represents this data?

a)

b)

c)

25.

The shape of the data above is.

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

26.

The appropriate measure of central tendency is ________ and the value is located at ___________.

a)

mode

b)

mean ; left

c)

median; left

27.

The percent of data falling between 1 standard deviation below and above the mean is

a)

68%

b)

34%

c)

95&

d)

99.7%

28.

The percent of data falling between 2 standard deviations below and above the mean is

a)

95%

b)

68%

c)

99.7%

d)

13.5%

29.

The percent of data falling between 3 standard deviations below and above the mean is

a)

81.5%

b)

68%

c)

99.7%

d)

95%

30.

A normal distribution has a mean of 35 and a standard deviation of 8. What percent of data points are between 27 and 43?

a)

34%

b)

68%

c)

81.5%

d)

95%

31.

The mean math score of 11th graders is 94, with a standard deviation of 3. Use the Empirical Rule to find the percentage of adults with scores between 88 and 100 . (Assume the data set has a bell-shaped distribution.)

a)

97.5%

b)

68%

c)

95%

d)

81.5%

32.

Use the data set given below to find the mean, median and mode respectively.
$34,\ \ \ \ 51,\ \ \ \ 50,\ \ \ \ \ 43,\ \ \ \ 56,\ \ \ 32,\ \ \ \ 48,\ \ \ \ \ 56,\ \ \ \ 61,\ \ \ \ 51$

a)

$48.2$ $44.2$ $51,\ 56$

b)

$48.2$ $50.5$ $51,\ 56$

c)

$46.2$ $51,\ 56$ $50.5$

d)

$53.5$ $51,\ 56$ $48.2$

33.

Use the data set given below to find the range and IQR.
$34,\ \ \ 51,\ \ \ \ 50,\ \ \ \ 43,\ \ \ \ 56,\ \ \ 32,\ \ \ \ 48,\ \ \ \ \ 56,\ \ \ \ 61,\ \ \ 51$

a)

$range=29\ and\ IQR\ =\ 13$

b)

$range\ =\ 13\ and\ IQR\ =\ 17$

c)

$range\ =\ 27\ and\ IQR\ =\ 13$

d)

$range\ =\ 13\ and\ IQR\ =\ 8$

34.

What is the z-score corresponding to a grade point of 87, when the mean is 79 and the standard deviation is 2.25?

a)

$7.38$

b)

$73.78$

c)

$3.56$

d)

$-3.56$

35.

Find the z-score of the value 234 when the mean is 189 and standard deviation is 18.3.

a)

$2.46$

b)

$-2.46$

c)

$0.73$

d)

$1.14$

36.

Match a dot plot that describe the data set below.
$24,\ \ \ 24,\ \ \ 26,\ \ \ 28,\ \ \ 30,\ \ \ \ 24,\ \ \ 27,\ \ \ 29,\ \ \ \ 26,\ \ \ 30$

a)

b)

c)

37.

Describe the distribution of the given data set above.

a)

Skewed left

b)

Skewed right

c)

Symmetric

d)

Uniform

38.

What is the best description for the shape of the data above?

a)

Skewed left

b)

Skewed right

c)

Symmetric

d)

Uniform

39.

What measures of central tendency best describes the date above?

a)

mode

b)

median

c)

mean

d)

range

40.

What measures of central tendency best describes the date above?

a)

mean

b)

mode

c)

median

d)

range

41.

How many outcomes are in the sample space for tossing one coin?

a)

1

b)

2

c)

4

d)

8

42.

Which of the following are possible samples spaces for tossing 2 coins? (May be more than one correct answer)

a)

{H, T, H, T}

b)

{HH, HT, TH, TT}

c)

{H, T}

d)

{T, H}

e)

{TT, HH, TH, HT}

43.

Which one is the sample space for flipping 3 coins?

a)

{H, T}

b)

{H1, H2, H3, T1, T2, T3}

c)

{HHH, TTT, HTH, THT, TTH, HHT}

d)

{HHH, TTT, HTH, THT, TTH, HHT, HTT, THH}

44.

Slips of paper marked with the numbers 1, 2, 3, 4, and 5 are placed in a box. After mixing, two slips are drawn. How many possible outcomes are there?

a)

5

b)

10

c)

15

d)

25

45.

An unprepared student takes a 3-question true/false quiz in which he guesses the answers to all 3 questions. What is the probability he gets all 3 correct?

a)

1/2

b)

1/3

c)

1/6

d)

1/8

46.

You give the answer to a probability problem as 6/5. The teacher marks it wrong. Why?

a)

It should have been 5/6.

b)

Its not written as a percent.

c)

Its more than 1.

d)

Its not written as a decimal.

47.

Which of these cannot be considered a probability of an outcome?

a)

1/3

b)

-1/5

c)

0.80

d)

112%

e)

1

48.

Roll a die one time. Find P(rolling a 4).

a)

1/4

b)

2/3

c)

1/6

d)

1/2

49.

Roll a die one time. Find P(even number).

a)

1/2

b)

1/3

c)

3/6

d)

2/6

50.

Roll a die one time. Find P(a number less than 7).

a)

0

b)

1

c)

7/6

d)

1/6

51.

Roll a die one time. Find P(a number greater than 3 or odd).

a)

0

b)

1/2

c)

5/6

d)

1/6

52.

Draw one card from a standard deck. Find P(ace)

a)

1/13

b)

1/4

c)

4/13

d)

1/52

53.

Draw one card from a standard deck. Find P(diamond)

a)

8%

b)

25%

c)

31%

d)

2%

54.

Draw one card from a standard deck. Find P(ace of diamonds)

a)

1/13

b)

1/4

c)

4/13

d)

1/52

55.

Draw one card from a standard deck. Find P(4 or club)

a)

17/52

b)

2/13

c)

4/13

d)

1/26

56.

Draw one card from a standard deck. Find P(black and a 10)

a)

17/52

b)

2/13

c)

4/13

d)

1/26

57.

Rolling a pair of dice, find P(rolling doubles).

a)

1/2

b)

1/12

c)

1/6

d)

1/9

58.

Rolling a pair of dice, find P(sum > 9).

a)

1/2

b)

1/12

c)

1/6

d)

1/9

59.

Rolling a pair of dice, find P(sum is 7 or 11).

a)

50%

b)

16%

c)

17%

d)

22%

60.

Rolling a pair of dice, find P(sum is 5).

a)

11%

b)

25%

c)

17%

d)

22%

61.

Which of the following is NOT an assumption of the Binomial distribution?

a)

All trials must be independent.

b)

Each trial must be classified as a success or a failure.

c)

All trials are dependent on each other.

d)

The number of successes in the trials is counted.

62.

Which of the following is false about binomial probabilities?

a)

Their distributions are approximately symmetric.

b)

Trials must be fixed.

c)

Events musts be independent.

d)

The probability of success must be 0.50

63.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

64.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?

a)

0.088

b)

0.697

c)

0.214

d)

0.303

65.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

a)

0.316

b)

0.282

c)

0.001

d)

Not here

66.

Binomial or Not Binomial?

Rolling a dice ten times and recording the number shown each time

a)

Binomial

b)

Not Binomial

67.

Binomial or Not Binomial?

Rolling a dice ten times and recording how many threes are rolled

a)

Binomial

b)

Not Binomial

68.

You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over 7 or more pedestrians?

a)

0.98

b)

0.02

c)

0.95

d)

0.05

69.

If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?

a)

.9423

b)

.1316

c)

.0577

d)

.0739

70.

It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens?

a)

.961

b)

.118

c)

.882

d)

.039

71.

Suppose again that 20% of fish are "legal" and that you catch a random, independent sample of 14 fish. What is the expected (mean) number of fish that are legal to keep?

a)

.20

b)

2.8

c)

5

d)

7

72.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally

a)

3.42

b)

1.03

c)

0.072

d)

0.199

73.

If you were to flip a coin 20 times, what is the probability you would get at most 13 heads?

a)

.9423

b)

.1316

c)

.0577

d)

.0739

74.

The probability that a school bus will be late to school is 0.15. Find the probability that in 5 school’s days, the bus will be late

(a) exactly 2 days, (b) at least once.

a)

(a) 0.1382 ; (b) 0.5563

b)

(a) 0.2372 ; (b) 0.5663

c)

(a) 0.1352 ; (b) 0.4563

d)

(a) 0.2682 ; (b) 0.4593

75.

In Vietnam, the probability of rain is 70%. Find the probability of it raining at most 2 days in a week.

a)

.9712

b)

0.0250

c)

.0287

d)

.2988

76.

Assuming that breakdowns in electricity supply occur ramdomly with mean of one breakdown every 10 weeks. Find the probability of at least 2 breakdowns in any period of one week

a)

0.0047

b)

0.9953

c)

0.0002

d)

1.000

e)

0.0045

77.

The mean number of accidents per month at a certain intersection is 3.What is the probability that in any given month exactly 4 accidents will occur at this intersection?

a)

0.815

b)

0.647

c)

0.168

d)

0.352

78.

Poisson distribution expresses the probability of events occurring in a fixed interval of _______ or _______.

a)

time, distance

b)

time, space

c)

distance, space

79.

Paul expected to receive 4 emails in a week.Find the probability of receiving 6 emails for the next 2 weeks?

a)

0.1221

b)

0.1912

c)

0.3134

d)

0.6866

e)

0.8088

80.

Suppose it has been observed that, on average,180 cars per hour pass a specified point on a particular road in the morning rush hour. Due to impending roadworks it is estimated that congestion will occur closer to the city centre if more than 5 cars pass the point in any one minute. What is the probability of congestion occurring?

give your answer to 4 decimal places

(a)

81.

The average number of homes sold by the Acme Realty company is 2 homes per day. What is the probability that exactly 3 homes will be sold tomorrow?

give your answer to 3 decimal places.

(a)

82.

Suppose the average number of lions seen on a 1-day safari is 5. What is the probability that tourists will see fewer than four lions on the next 1-day safari?

give your answer to 4 decimal places

(a)

83.

Ronald Properties is a global company specializing in rental office accommodation. An analysis of lease records at their Durban branch has established that, on average, five lease agreements are signed per day for office space in the Durban metropolitan area.

What is the probability that, on a given day, the Durban branch will sign only three lease agreements for office space?

(give your answer o 4 decimal places)

(a)

84.

Ronald Properties is a global company specializing in rental office accommodation. An analysis of lease records at their Durban branch has established that, on average, five lease agreements are signed per day for office space in the Durban metropolitan area.

What is the probability that, on a given day, the Durban branch will sign at most two lease agreements for office space?

(give your answer o 4 decimal places)

(a)

85.

A shop sells radios at a rate of 2.5 per week.

Find the probability that in a two-week period the shop sells at least 7 radios.

Give your answer to 4 decimal places.

(a)

86.

Some river water contains on average 500 microbes per litre. A large bucket of the water is collected and after it has been well stirred a $1\ cm^3$ sample is examined.

Find the probability of there being no microbes in this sample.

Give your answer to 4 decimal places.

(a)

87.

Some river water contains on average 500 microbes per litre. A large bucket of the water is collected and after it has been well stirred a $1\ cm^3$ sample is examined.

Find the probability of there being at least 4 microbes in the sample.

Give your answer to 4 decimal places.

(a)

88.

A technician is responsible for a large number of machines. Minor adjustments have to be made to these machines and these occur at random and at a constant rate of 7 per hour. Find the probability that in a particular hour the technician makes 4 or fewer adjustments.

give your answers to 4 decimal places.

(a)

89.

A technician is responsible for a large number of machines. Minor adjustments have to be made to these machines and these occur at random and at a constant rate of 7 per hour. Find the probability that during a half-hour break no adjustments will be required.

give your answers to 4 decimal places.

(a)

90.

During office hours, telephone calls to a single telephone in an office come in at an average rate of 18 calls per hour. Assuming that a Poisson distribution can be applied, find the probability that in a 5-minute period there will be fewer than 2 calls.

give your answer to 4 decimal places.

(a)

91.

During office hours, telephone calls to a single telephone in an office come in at an average rate of 18 calls per hour. Assuming that a Poisson distribution can be applied, find the probability that in a 5-minute period there will be more than 3 calls.

give your answer to 4 decimal places.

(a)

92.

Some river water contains on average 500 microbes per litre. A large bucket of the water is collected and after it has been well stirred a $1\ cm^3$ sample is examined.

Explain the importance of stirring the water before taking the sample.

a)

The stirring avoids the possible problem of the microbes occurring in clusters. It should mean that they occur independently and singly.

b)

Stirring makes the water clearer and easier to examine.

c)

stirring helps the microbes swim faster so that they can hide in the water and not collected in the sample.

d)

Stirring is a requirement for the experiment.

93.

Identify the distribution defined:

The number of cars randomly arriving at a car wash during a 20-minute interval.

a)

Poisson

b)

Binomial

c)

Geometric

d)

Hyper geometric

94.

Identify the distribution defined:

If electricity power failures occur with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.

a)

Poisson

b)

Binomial

c)

Geometric

d)

Hyper geometric

95.

Given that on average 10 people are killed by sharks worldwide each year. Find the probability that 1 or 2 people are killed in a year.

a)

.0023

b)

.0005

c)

.0028

d)

.9972

MID TERM STA MDC 2025

Total questions: 95

Worksheet time: 6hrs 6mins

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