StatisticsProbability FinalExam StudyGuide 2021-2022

STATISTICS & PROBABILITY GRADE 10
2023-24
STUDY GUIDE
Name: Date (dd-mm-yyyy): -----------
S-ID.A.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate
population percentages. Recognize that there are data sets for which such a procedure is not appropriate.
Use calculators, spreadsheets, and tables to estimate areas under the normal curve.
1. The following data corresponds to the number of songs downloaded in the app
Musicians every hour in the cities where the app is operating:
37 , 84 , 70 , 64 , 24 , 93 , 25 , 39 , 82 , 49, 82, 20, 45, 60
a) Please create a box-and-whisker plot of the data

b) Please state the values for the minimum, maximum, Q1, Q2 and Q3 and then explain
what the numbers mean within the context.
c) You have been hired to determine if the company is making money. According to the
Financial Director, when 55 songs or more are downloaded per hour the company
starts making money. What would you tell the owner of the company?
2. The box-and-whisker plots below show the normal precipitation (in inches) each month
in Dallas and in Houston, Texas.
a) For how many months is Houston’s precipitation less than 3.5 inches?
b) Compare the precipitation in Dallas with the precipitation in Houston (use both the
median and the IQR)
3. Consider the following three data sets A, B and C.

A = {9,10,11,7,13}
B = {10,10,10,10,10}
C = {1,1,10,19,19}
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a) Calculate the mean of each data set.
b) Calculate the standard deviation of each data set.
c) Which set has the largest standard deviation?
4. The scores of the students in the English exam are as follows:

Class A: 92,88,80,68,52
Class B: 92,92,92,52,52
Based on the mean and standard deviation of the two sets, compare the English
performance of class A and class B.
S-CP.B.8 Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) =
P(B)P(A|B), and interpret the answer in terms of the model.
1. There are only red marbles and green marbles in a bag. There are 5 red marbles and 3
green marbles. Dwayne takes at random a marble from the bag. He does not put the
marble back in the bag. Dwayne takes at random a second marble from the bag.
Make a tree diagram to illustrate the various possibilities relating to choosing two
marbles. Then, find out the probability that Dwayne takes marbles of different colors.
2. A box contains 3 defective light bulbs and 7 good bulbs. a) Construct a tree diagram
illustrating the various possibilities relating to 3 consecutive bulbs being drawn at
random from the box without replacement. b) Find the probability that at least one
good bulb is drawn from the box.
3. 50 students were asked in a survey whether they use texts or social media. 20 students
said they only use texts. 8 students said they only use social media. 17 students said they
use both texts and social media.
a) Put this information on the Venn diagram

b) How many of the students in the survey do not use texts or social media?
c) One of the students in the survey is chosen at random. What is the probability that this
student uses texts?
4. Last year, there were 36 pupils in a class. Of these pupils, 20 studied French, 9 studied
German and 3 studied both French and German. A pupil was chosen at random from the
class. Find the probability that the pupil studied French but not German. Please justify your
answer by organizing the information on a Venn diagram.
S-CP.B.9 Use permutations and combinations to compute probabilities of compound events and solve
problems.
1. How many arrangements can be made of the letters P, Q, R, S, T, taking two letters at a
time, if no letter can be repeated.
2. Ten people take part in a chess competition. How many games will be played if every
person must play each of the others?
3. How many different basketball teams, each consisting of 3 boys and 3 girls, can be
formed from 7 boys and 5 girls? If Luis and Juanita want to be in the same team, what
is the probability that they will be on the same team?
4. There are 5 women and 4 men in a club. A team of four has to be chosen. How many
different teams can be chosen? If a team is chosen at random, what is the probability
that the team has: (a) at least one woman, (b) four women, (c) four men?
5. A 4 digit PIN is selected. What is the probability that there are no repeated digits? The
pin will be formed by using these numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
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STATISTICS & PROBABILITY GRADE 10

Name: Date (dd-mm-yyyy): -----------

37 , 84 , 70 , 64 , 24 , 93 , 25 , 39 , 82 , 49, 82, 20, 45, 60

a) Please create a box-and-whisker plot of the data

3. Consider the following three data sets A, B and C.

4. The scores of the students in the English exam are as follows:

a) Put this information on the Venn diagram

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