Statistics and Probability for 6th Grade: Learn and Test Your Skills

Question 1

In a story, which type of character experiences the most significant transformation and development?

Accepted Answer

Dynamic characters

Answer

Round characters

Answer

Static characters

Answer

Foil characters

Question 2

In a novel, the protagonist undergoes a significant change from being timid and insecure to becoming brave and confident. Which type of character development is this an example of?

Accepted Answer

Character Arc

Answer

Static Character

Answer

Flat Character

Answer

Character Foil

Question 3

Which of these shows character development?

Accepted Answer

A character who learns and changes their behavior

Answer

A character who doesn't change

Answer

A character with a secret identity

Answer

A character who dies

Question 4

In stories, which element is most important for creating a well-developed character?

Accepted Answer

Personality traits and motivations

Answer

Physical appearance

Answer

The setting of the story

Answer

The sequence of events in the story

Question 5

Which of the following is a characteristic of a static character?

Accepted Answer

Remains unchanged throughout the story

Answer

Undergoes a major transformation

Answer

Introduced late in the story

Answer

Provides comic relief

Question 6

Which of the following is NOT a method for developing characters in a story?

Accepted Answer

Character's social media posts

Answer

Character's actions

Answer

Character's thoughts

Answer

Author's direct statements

Question 7

A survey of 100 students found that 60 play video games. What percent of the students play video games?

Accepted Answer

60%

Answer

40%

Answer

100%

Question 8

In a music survey, 25 out of 100 students chose pop as their favorite genre. What is the probability of a student randomly picking pop music, rounded to the nearest hundredth?

Accepted Answer

0.25

Answer

0.50

Answer

0.75

Answer

1.00

Question 9

In a box plot, what does the lower quartile represent?

Accepted Answer

The value that separates the bottom 25% of the data from the rest

Answer

The smallest value in the dataset

Answer

The middle value in the dataset

Answer

The value that occurs most frequently in the dataset

Question 10

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 11

Which of these is NOT a measure of the center of a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 12

In a study, the mean of a data set was 15, while the median was 18. What does this tell us about the data distribution?

Accepted Answer

The data is skewed towards higher values, with some outliers lower than 18.

Answer

The data is evenly spread around the mean of 15.

Answer

The data is skewed towards lower values, with some outliers higher than 15.

Answer

The mean is always greater than or equal to the median.

Question 13

In a standard six-sided die, what is the likelihood of rolling a 6?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 14

Find the mean of this data set: 5, 8, 10, 12

Accepted Answer

9

Answer

8

Answer

10

Answer

11

Question 15

Which of these variables describes a non-numerical characteristic?

Accepted Answer

Eye color

Answer

Age

Answer

Height

Answer

Weight

Question 16

In a standard six-sided die, what is the chance of rolling an even number?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 17

Which measure describes how spread out the data is?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 18

What is the chance of rolling a 6 on a standard six-sided die?

Accepted Answer

1 out of 6

Answer

1 out of 2

Answer

1 out of 3

Answer

1 out of 4

Question 19

What is the chance of an event happening called?

Accepted Answer

Probability

Answer

Mean

Answer

Median

Answer

Mode

Question 20

Which of these is a measure of how spread out data is, rather than where the center of the data is?

Accepted Answer

Range

Answer

Mean

Answer

Mode

Answer

Median

Question 21

What is the primary reason for using sampling techniques in data collection?

Accepted Answer

To select a subset of the population that accurately represents the entire population

Answer

To ensure that the data collected is biased towards a specific group

Answer

To obtain a sample that is not representative of the population being studied

Answer

To collect data that is inaccurate and unreliable

Question 22

Which measure of central tendency is most influenced by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 23

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 24

When you flip a coin, what is the chance of it landing on the side opposite heads?

Accepted Answer

50%

Answer

0%

Answer

100%

Question 25

How do you calculate the probability of an event?

Accepted Answer

Divide the number of favorable outcomes by the total number of possible outcomes

Answer

Count the number of ways the event can happen

Answer

Find the average of the data

Question 26

What is a key feature of a well-designed survey question?

Accepted Answer

Free of bias

Answer

Complex and confusing

Answer

Vague and general

Question 27

Which of the following is **not** a type of data?

Accepted Answer

Text

Answer

Categorical

Answer

Quantitative

Answer

Ordinal

Question 28

Which measure of central tendency is most appropriate for ordinal data?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 29

A survey asks students to rate their favorite subject on a scale of 1 to 5. What type of data is being collected?

Accepted Answer

Ordinal

Answer

Categorical

Answer

Quantitative Discrete

Answer

Quantitative Continuous

Question 30

A bag contains 5 red marbles and 3 blue marbles. If two marbles are drawn at random, what is the probability of drawing **both** red?

Accepted Answer

2/15

Answer

1/15

Answer

1/6

Answer

2/6

Question 31

A medical study claims that a new drug reduces the risk of heart disease by 20%. What does this mean?

Accepted Answer

People taking the drug are 20% less likely to develop heart disease.

Answer

People taking the drug have a 100% chance of avoiding heart disease.

Answer

The drug is completely ineffective.

Answer

The drug is effective for everyone who takes it.

Question 32

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mode

Answer

Mean

Answer

Median

Question 33

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble from the bag?

Accepted Answer

3/10

Answer

1/2

Answer

1/10

Answer

5/10

Question 34

Which of the following graphs best represents data that is normally distributed?

Accepted Answer

Bell curve

Answer

Stem-and-leaf plot

Answer

Bar chart

Answer

Pie chart

Question 35

A survey asked students to rate their favorite subject on a scale of 1 to 5, with 5 being the highest. The results are summarized in the following table:

Rating | Frequency
    ------- | --------
    1 | 15
    2 | 10
    3 | 25
    4 | 20
    5 | 30

What is the mode of the data?

Accepted Answer

5

Answer

3

Answer

4

Answer

2.5

Question 36

Which of the following is an example of a biased sample?

Accepted Answer

A survey of people who visit a website about a particular political candidate.

Answer

A sample of every 10th person who walks into a store.

Answer

A random sample of students from a school.

Question 37

In the context of probability, what is the total value of all possible outcomes in an experiment?

Accepted Answer

1

Answer

Less than 1

Answer

Greater than 1

Answer

0

Question 38

What is the probability of rolling a number 6 on a standard six-sided dice?

Accepted Answer

1/6

Answer

1/4

Answer

1/3

Answer

1/2

Question 39

Explain the difference between a population and a sample.

Accepted Answer

A population is the complete group of individuals or items being studied, while a sample is a smaller, representative subset of the population.

Answer

A sample is the complete group, while a population is a subset of the sample.

Answer

Population and sample are interchangeable terms.

Question 40

Which type of probability is derived from prior data and observations?

Accepted Answer

Empirical probability

Answer

Theoretical probability

Answer

Classical probability

Answer

Subjective probability

Question 41

What is the probability of getting 'heads' when flipping a fair coin?

Accepted Answer

1/2

Answer

1/4

Answer

0

Answer

3/4

Question 42

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Median

Answer

Mode

Answer

Mean

Question 43

When rolling a standard six-sided die, what is the probability of getting a 6?

Accepted Answer

1 in 6

Answer

1 in 3

Answer

1 in 2

Answer

100%

Question 44

Which of the following scatterplots shows a negative correlation?

Accepted Answer

Image showing a scatterplot with points trending downwards from left to right

Answer

Image showing a scatterplot with points trending upwards from left to right

Answer

Image showing a scatterplot with no clear pattern

Question 45

What is the difference between a sample and a population?

Accepted Answer

A sample is a subset of the population, while the population is the entire group of individuals or objects being studied.

Answer

A population is a subset of the sample, while the sample is the entire group of individuals or objects being studied.

Question 46

Which of these is NOT a measure of the center of a data set?

Accepted Answer

Range

Answer

Mode

Answer

Median

Answer

Mean

Question 47

To reduce bias in a survey, the best method is to:

Accepted Answer

Use random sampling

Answer

Use a very large sample size

Answer

Ask open-ended questions

Answer

Offer incentives for participation

Question 48

Which scatter plot shows a positive correlation?

Accepted Answer

Image of scatter plot with points trending upwards diagonally

Answer

Image of scatter plot with no clear trend

Answer

Image of scatter plot with points trending downwards diagonally

Question 49

Calculate the mode of the following data set: 7, 9, 11, 11, 13, 15

Accepted Answer

11

Answer

9

Answer

15

Answer

13

Question 50

A bag has 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing a blue marble?

Accepted Answer

3/10

Answer

1/2

Answer

1/5

Question 51

Which characteristic describes a normal distribution?

Accepted Answer

Symmetrical around the mean

Answer

Skewed to the right

Answer

Skewed to the left

Answer

Bimodal

Question 52

Which measure is NOT used to represent the center of a data set?

Accepted Answer

Range

Answer

Mode

Answer

Mean

Answer

Median

Question 53

A survey of 100 students found that 60% prefer math. How many students like math?

Accepted Answer

60

Answer

40

Answer

50

Answer

70

Question 54

What number appears most frequently in the following set: 2, 4, 4, 6, 8, 8, 10?

Accepted Answer

4, 8

Answer

10

Answer

2

Answer

6

Question 55

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Mode

Answer

Median

Question 56

A factory produces light bulbs with an average lifetime of 1000 hours. Which type of graph would be most suitable to display the distribution of the lifetimes of the light bulbs?

Accepted Answer

Histogram

Answer

Bar graph

Answer

Pie chart

Answer

Line graph

Question 57

A fair coin is flipped 4 times. What is the probability of getting exactly 2 heads?

Accepted Answer

3/8

Answer

1/8

Answer

1/2

Answer

1/4

Question 58

Which of the following is a random sample?

Accepted Answer

Every 5th student is randomly selected from the class list.

Answer

Students who volunteer to participate in the study.

Answer

Students who are friends with the researcher.

Question 59

A survey is conducted to find the favorite subject of students in a class of 20. The results are as follows: Math (6), Science (4), English (8), Social Studies (2). Which subject is the most common (mode)?

Accepted Answer

English

Answer

Science

Answer

Math

Answer

Social Studies

Question 60

Which of the following is a continuous variable?

Accepted Answer

Height

Answer

Number of siblings

Answer

Grade level

Answer

Eye color

Question 61

A bag contains 4 red marbles, 2 blue marbles, and 3 green marbles. What is the probability of drawing a blue marble from the bag?

Accepted Answer

2/9

Answer

1/4

Answer

1/3

Answer

1/2

Question 62

Which of the following is an example of a biased sample?

Accepted Answer

A survey that only includes students who are interested in science.

Answer

A survey that includes all students in a school.

Answer

A survey that includes students who are randomly selected from a school directory.

Question 63

What is the difference between a population and a sample?

Accepted Answer

A population is the entire group of individuals being studied, while a sample is a smaller group that represents the population.

Answer

A population is only a sample that is representative of the entire group.

Question 64

Which of the following is a graphical representation that shows the relationship between two variables?

Accepted Answer

Scatter plot

Answer

Table

Answer

Histogram