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Statistical Literacy

Description: Test your understanding of Statistical Literacy with this quiz.
Number of Questions: 14
Created by:
Tags: statistics data analysis probability
Attempted 0/14 Correct 0 Score 0

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

  1. 1/2

  2. 1/3

  3. 1/4

  4. 1/5


Correct Option: A
Explanation:

A fair coin has two equally likely outcomes: heads or tails. Therefore, the probability of getting a head is 1/2.

What is the difference between a population and a sample?

  1. A population is a group of individuals, while a sample is a subset of that population.

  2. A population is a group of data, while a sample is a subset of that data.

  3. A population is a group of events, while a sample is a subset of those events.

  4. A population is a group of variables, while a sample is a subset of those variables.


Correct Option: A
Explanation:

A population is the entire group of individuals or objects that you are interested in studying. A sample is a subset of the population that you actually study.

What is the purpose of a histogram?

  1. To display the distribution of data.

  2. To compare two or more sets of data.

  3. To identify outliers in data.

  4. To make predictions about future data.


Correct Option: A
Explanation:

A histogram is a graphical representation of the distribution of data. It shows the frequency of occurrence of different values in the data.

What is the difference between a mean and a median?

  1. The mean is the average of all the values in a data set, while the median is the middle value.

  2. The mean is the sum of all the values in a data set, while the median is the average of all the values.

  3. The mean is the most common value in a data set, while the median is the middle value.

  4. The mean is the largest value in a data set, while the median is the smallest value.


Correct Option: A
Explanation:

The mean is the sum of all the values in a data set divided by the number of values in the data set. The median is the middle value in a data set when the values are arranged in order from smallest to largest.

What is the probability of getting a sum of 7 when rolling two fair dice?

  1. 1/6

  2. 1/12

  3. 1/18

  4. 1/24


Correct Option: A
Explanation:

There are 36 possible outcomes when rolling two fair dice. The outcomes that sum to 7 are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). Therefore, the probability of getting a sum of 7 is 6/36 = 1/6.

What is the difference between a correlation and a causation?

  1. A correlation is a relationship between two variables, while a causation is a cause-and-effect relationship.

  2. A correlation is a relationship between two variables, while a causation is a relationship between two events.

  3. A correlation is a relationship between two variables, while a causation is a relationship between two groups.

  4. A correlation is a relationship between two variables, while a causation is a relationship between two populations.


Correct Option: A
Explanation:

A correlation is a relationship between two variables that shows how they change together. A causation is a cause-and-effect relationship, where one variable causes the other variable to change.

What is the purpose of a scatter plot?

  1. To display the relationship between two variables.

  2. To compare two or more sets of data.

  3. To identify outliers in data.

  4. To make predictions about future data.


Correct Option: A
Explanation:

A scatter plot is a graphical representation of the relationship between two variables. It shows how the values of one variable change in relation to the values of the other variable.

What is the difference between a probability and a statistic?

  1. A probability is a measure of the likelihood of an event occurring, while a statistic is a measure of the characteristics of a population.

  2. A probability is a measure of the likelihood of an event occurring, while a statistic is a measure of the characteristics of a sample.

  3. A probability is a measure of the likelihood of an event occurring, while a statistic is a measure of the relationship between two variables.

  4. A probability is a measure of the likelihood of an event occurring, while a statistic is a measure of the distribution of data.


Correct Option: A
Explanation:

A probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. A statistic is a measure of the characteristics of a population. It is calculated from a sample of data and is used to estimate the characteristics of the population.

What is the difference between a random sample and a biased sample?

  1. A random sample is a sample in which every member of the population has an equal chance of being selected, while a biased sample is a sample in which some members of the population are more likely to be selected than others.

  2. A random sample is a sample in which every member of the population has an equal chance of being selected, while a biased sample is a sample in which some members of the population are less likely to be selected than others.

  3. A random sample is a sample in which every member of the population has an equal chance of being selected, while a biased sample is a sample in which some members of the population are more likely to be selected than others.

  4. A random sample is a sample in which every member of the population has an equal chance of being selected, while a biased sample is a sample in which some members of the population are less likely to be selected than others.


Correct Option: A,C
Explanation:

A random sample is a sample in which every member of the population has an equal chance of being selected. This means that the sample is representative of the population as a whole. A biased sample is a sample in which some members of the population are more likely to be selected than others. This means that the sample is not representative of the population as a whole.

What is the difference between a hypothesis and a theory?

  1. A hypothesis is a tentative explanation for a phenomenon, while a theory is a well-substantiated explanation for a phenomenon.

  2. A hypothesis is a tentative explanation for a phenomenon, while a theory is a well-tested explanation for a phenomenon.

  3. A hypothesis is a tentative explanation for a phenomenon, while a theory is a well-supported explanation for a phenomenon.

  4. A hypothesis is a tentative explanation for a phenomenon, while a theory is a well-established explanation for a phenomenon.


Correct Option: A
Explanation:

A hypothesis is a tentative explanation for a phenomenon. It is based on evidence and observation, but it has not yet been fully tested. A theory is a well-substantiated explanation for a phenomenon. It is based on a large body of evidence and has been repeatedly tested and supported.

What is the difference between a type I error and a type II error?

  1. A type I error is rejecting the null hypothesis when it is true, while a type II error is accepting the null hypothesis when it is false.

  2. A type I error is accepting the null hypothesis when it is false, while a type II error is rejecting the null hypothesis when it is true.

  3. A type I error is rejecting the null hypothesis when it is true, while a type II error is accepting the null hypothesis when it is true.

  4. A type I error is accepting the null hypothesis when it is false, while a type II error is rejecting the null hypothesis when it is false.


Correct Option: A
Explanation:

A type I error is rejecting the null hypothesis when it is true. This means that you have concluded that there is a difference between two groups when there is actually no difference. A type II error is accepting the null hypothesis when it is false. This means that you have concluded that there is no difference between two groups when there is actually a difference.

What is the difference between a confidence interval and a hypothesis test?

  1. A confidence interval is a range of values that is likely to contain the true population parameter, while a hypothesis test is a statistical procedure used to determine whether there is a significant difference between two groups.

  2. A confidence interval is a range of values that is likely to contain the true population parameter, while a hypothesis test is a statistical procedure used to determine whether there is a significant difference between two populations.

  3. A confidence interval is a range of values that is likely to contain the true population parameter, while a hypothesis test is a statistical procedure used to determine whether there is a significant difference between two samples.

  4. A confidence interval is a range of values that is likely to contain the true population parameter, while a hypothesis test is a statistical procedure used to determine whether there is a significant difference between two data sets.


Correct Option: A
Explanation:

A confidence interval is a range of values that is likely to contain the true population parameter. It is calculated from a sample of data and is used to estimate the population parameter. A hypothesis test is a statistical procedure used to determine whether there is a significant difference between two groups. It is used to test a hypothesis about the population parameter.

What is the difference between a p-value and a significance level?

  1. A p-value is the probability of getting a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is true, while a significance level is the probability of rejecting the null hypothesis when it is true.

  2. A p-value is the probability of getting a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is false, while a significance level is the probability of rejecting the null hypothesis when it is true.

  3. A p-value is the probability of getting a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is true, while a significance level is the probability of accepting the null hypothesis when it is false.

  4. A p-value is the probability of getting a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is false, while a significance level is the probability of accepting the null hypothesis when it is true.


Correct Option: A
Explanation:

A p-value is the probability of getting a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is true. A significance level is the probability of rejecting the null hypothesis when it is true.

What is the difference between a regression line and a correlation coefficient?

  1. A regression line is a line that best fits the data points in a scatter plot, while a correlation coefficient is a measure of the strength and direction of the relationship between two variables.

  2. A regression line is a line that best fits the data points in a scatter plot, while a correlation coefficient is a measure of the strength of the relationship between two variables.

  3. A regression line is a line that best fits the data points in a scatter plot, while a correlation coefficient is a measure of the direction of the relationship between two variables.

  4. A regression line is a line that best fits the data points in a scatter plot, while a correlation coefficient is a measure of the strength and direction of the relationship between two data sets.


Correct Option: A
Explanation:

A regression line is a line that best fits the data points in a scatter plot. It is used to predict the value of one variable based on the value of another variable. A correlation coefficient is a measure of the strength and direction of the relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

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