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Quizzes > High School Quizzes > Mathematics

Statistics Worksheets Practice Quiz

Sharpen your skills with engaging practice tests

Difficulty: Moderate
Grade: Grade 10
Study OutcomesCheat Sheet
Colorful paper art promoting a trivia quiz on Stats Worksheet Mastery for high school students.

Which measure of central tendency is calculated by summing all values and dividing by the number of values?
Median
Mode
Range
Mean
The mean is computed by adding all the numbers together and then dividing by the count of numbers in the data set. Median is the middle value, mode is the most frequently occurring value, and range measures the spread of the data.
Which measure of central tendency represents the middle value in a sorted data set?
Mean
Mode
Median
Range
The median is the number that falls in the middle of an ordered list of values. It is distinct from the mean, which is the average, and the mode, which is the most common value.
What does the mode in a data set indicate?
The most frequently occurring value.
The middle value when ordered.
The difference between the largest and smallest values.
The average of all values.
The mode represents the most frequently occurring number in a data set. This is different from the mean, which is the average, and the median, which is the middle value when data are ordered.
How is the range of a data set determined?
By averaging all the data points.
By subtracting the lowest value from the highest value.
By finding the middle value in the data.
By identifying the most common value.
The range is calculated by subtracting the smallest value from the largest value in the data set. It measures the spread of the data, unlike measures such as the mean or median.
Which graph is most appropriate for displaying the frequency distribution of numerical data grouped into intervals?
Pie chart
Scatter plot
Line graph
Histogram
A histogram is ideal for visualizing the distribution of numerical data, as it sorts data into bins and shows frequency counts clearly. Pie charts highlight proportions, line graphs show trends, and scatter plots are used for relationships between variables.
Calculate the mean of the data set: 4, 8, 6, 5, 3, 7, 9.
6.5
6
7
5
Adding the numbers gives a total of 42, and dividing by the 7 values results in a mean of 6. The other options do not match this calculation.
Determine the median of the data set: 12, 7, 9, 15, 10.
12
9
7
10
Once the data is sorted (7, 9, 10, 12, 15), the middle value is 10, which is the median. This is the central value in the ordered data set.
Which graph best represents the distribution of a data set using its minimum, first quartile, median, third quartile, and maximum?
Histogram
Box plot
Bar graph
Scatter plot
A box plot visually represents the five-number summary of a data set, making it useful for identifying the spread and center. Other types of graphs do not display all these summary statistics as clearly.
How is the interquartile range (IQR) of a data set defined?
By adding the range to the median.
By subtracting the first quartile from the third quartile.
By subtracting the median from the maximum value.
By finding the average of the first and third quartiles.
The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1), which measures the spread of the middle 50% of the data. This method minimizes the influence of outliers.
In a right-skewed distribution, which measure of central tendency is typically most impacted by extreme values?
Median
Mode
Mean
Range
In a right-skewed distribution, the mean is pulled toward the tail due to extreme high values, making it the most sensitive measure. The median and mode remain more resistant to the effects of outliers.
What is the probability of getting heads when flipping a fair coin?
0.5
0.75
1
0.25
A fair coin has two equally likely outcomes, so the probability of landing heads is 1/2, or 0.5. The other options represent incorrect probabilities for this event.
In a survey, if 40% of participants choose option A and 60% choose option B, what is the probability of randomly selecting a participant who chose option A?
0.6
0.2
0.4
0.5
The probability is directly given by the percentage for option A, which is 0.4. This reflects the likelihood of selecting an individual who chose option A.
What does a standard deviation of 0 indicate about a dataset?
There is high variability in the dataset.
All data values are identical.
The mean is 0.
The dataset is normally distributed.
A standard deviation of 0 means that there is no spread among the data points, implying every value in the dataset is the same. This condition eliminates any variability.
Which measure of central tendency is most suitable for summarizing categorical data?
Mean
Median
Range
Mode
For categorical data, the mode is the most appropriate measure because it indicates the most frequently occurring category. The mean and median are not meaningful for non-numerical data.
Which type of graph is ideal for examining the relationship between two quantitative variables?
Pie chart
Histogram
Bar graph
Scatter plot
A scatter plot displays two quantitative variables against each other to reveal patterns or correlations. The other graph types are used for different kinds of data representations.
A data set comprises the numbers: {5, 7, 7, 9, 11}. If one additional number is added and the new mean becomes 8, what is the value of the new data point?
10
9
8
7
The original sum of the data set is 39. With an additional value, there are 6 numbers and the new total must be 48 (because 8 x 6 = 48). Subtracting 39 from 48 gives 9 as the additional value.
An unbiased six-sided die is rolled. What is the probability of rolling a number greater than 4?
2/3
1/3
1/2
5/6
A six-sided die has numbers 1 through 6, and rolling a number greater than 4 means either 5 or 6, which are 2 out of 6 possible outcomes, simplifying to 1/3. The other fractions do not correctly represent this probability.
A sports team wins 75% of its games. If they play 8 games, what is the expected number of wins?
7
8
5
6
The expected number of wins is calculated by multiplying the total number of games (8) by the win rate (0.75), resulting in 6 wins. This calculation is a basic application of expected value in probability.
If a dataset has a mean of 20 and a variance of 16, what is its standard deviation?
8
2
16
4
The standard deviation is found by taking the square root of the variance. Since the square root of 16 is 4, the standard deviation is 4. This measure indicates the average distance of the data points from the mean.
In a scatter plot, if data points closely align along a straight line with a positive slope, what does this suggest about the relationship between the variables?
There is a strong negative linear relationship between the variables.
The variables are inversely proportional.
There is a strong positive linear relationship between the variables.
There is no relationship between the variables.
A positive slope indicates that as one variable increases, the other variable tends to increase as well, reflecting a strong positive linear correlation. The other options either contradict the observed direction of the relationship or imply no relationship exists.
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Study Outcomes

  1. Understand key statistical definitions and terminology.
  2. Analyze data sets using measures of central tendency and variability.
  3. Apply probability concepts to assess real-world scenarios.
  4. Interpret graphical representations such as histograms and scatter plots.
  5. Synthesize statistical methods to solve problem-based questions.

Statistics Worksheets Cheat Sheet

  1. Mean, Median, and Mode - Crack the code of central tendency with these power‑trio stats. The mean gives the average vibe, the median sits smack dab in the center, and the mode is the crowd favorite. For our set {2, 3, 3, 5, 7}, you get a mean of 4, a median of 3, and a mode of 3. Byju's Statistics Formulas
  2. Variance and Standard Deviation - Wondering how scattered your data is? Variance measures the squared differences from the mean, and standard deviation (the square root of variance) brings it back to the original units. When your standard deviation is low, your data points are happily clustered around the mean. GeeksforGeeks Stats Formulas
  3. Probability Basics - Probability turns the "maybe" into a number between 0 and 1! It's like a magic 8‑ball but way more reliable: a fair coin flip lands heads with probability 0.5. Embrace the odds and let chance be your guide. CliffsNotes Probability Basics
  4. Conditional Probability - Ever wondered what happens when you already know one event occurred? That's conditional probability: P(A|B) = P(A and B) / P(B). Imagine drawing a red card after already picking a face card - it adds a fun twist! The Core Standards
  5. Independent and Dependent Events - Do two events have their own party, or is one crashing the other's? Independent events, like rolling a die and flipping a coin, don't mess with each other. Dependent events, such as drawing two cards without replacement, are forever linked. The Core Standards
  6. Normal Distribution - Meet the bell curve - statisticians' favorite shape! Most values huddle around the mean, tapering off symmetrically. Mastering z‑scores here is like having a GPS for probabilities. CliffsNotes Normal Distribution
  7. Sampling Methods - Picking samples is an art: random sampling gives everyone an equal shot, stratified splits groups cleverly, and systematic sampling picks every nth item. Good sampling keeps your study fair and square. The Core Standards
  8. Hypothesis Testing - Put on your detective hat: hypothesis testing checks if your data really supports a claim. You set up a null and an alternative hypothesis, run the test, and see which side wins. It's science in action! CliffsNotes Hypothesis Testing
  9. Confidence Intervals - Need a safety net for your estimates? A 95% confidence interval suggests there's a 95% shot your true mean hangs out within that range. Think of it as your stats crystal ball. CliffsNotes Confidence Intervals
  10. Correlation and Regression - Want to know if two variables are BFFs or frenemies? Correlation measures their buddy‑ness, while regression lets you predict one from the other. Use it to see how study hours might forecast final grades! CliffsNotes Correlation & Regression
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