Statistics and Probability

Which of these is a definition of 'Secondary Data'?

A teacher puts all the students' names into a hat and draws $5$ names. What kind of sampling is this?

What is the primary reason for grouping data into classes (intervals) in a frequency table?

Which of the following is a quantitative variable that is discrete?

A scientist uses historical weather records from the 19th century to study climate change. This data is:

In a survey about hobbies, why is it better to have an 'Other' option in a multiple-choice question?

Which of these is the most important feature of a random sample?

A researcher is studying the average height of $13$-year-olds in a city of $10,000$ people. He measures $5$ students from the local basketball team. Why is this data collection plan flawed?

Which sampling method ensures that every member of the population has an equal chance of being selected?

A biologist collects data on the species of trees in a forest. Is this data quantitative or qualitative?

A class of 30 students was surveyed about their favorite sports. The results are shown in the bar chart below. How many more students chose Football than Tennis?

Which angle corresponds to $\frac{1}{10}$ of the data in a pie chart?

According to the bar chart, how many total items were sold on Monday and Tuesday combined?

A pie chart shows that 25% of students travel by bus. What is the sector angle for the 'Bus' category?

A bar chart has categories A, B, and C with frequencies 10, 20, and 30. If converted to a pie chart, what is the angle of category B?

If 15% of a group of 80 people like Coffee, what would be the angle of the sector for 'Coffee' in a pie chart?

A pie chart representing total expenses of $2400 shows 'Rent' as a$120^{\circ}$ sector. How much is spent on Rent?

A travel agency records the number of tourists visiting a city over four months. The bar chart shows: Jan (200), Feb (150), Mar (250). If the total number of tourists for these four months is 1000, what should be the height of the bar for April if the scale is $1$ cm for every $50$ tourists?

A factory produces three types of lightbulbs. A pie chart shows the production: LED bulbs cover $216^{\circ}$. If the factory produces 500 bulbs in total, and the number of Halogen bulbs is half the number of Incandescent bulbs, how many Incandescent bulbs are produced?

The following bar chart shows the goals scored by a team in 4 matches. Match 1: 2 goals, Match 2: 4 goals, Match 3: 1 goal. If the average (mean) number of goals per match after 4 matches is 2.5, how many goals were scored in Match 4?

If you pick a day of the week at random, what is the probability it starts with the letter 'S'?

A pictogram uses a 'half-symbol' to represent $3$ people. How many people does a full symbol represent?

What is the median of $10, 20, 30, 40$?

If the probability of it snowing is $\frac{1}{10}$, what is the probability of it NOT snowing?

A survey of $100$ people asked their favorite season. $30$ chose Summer, $20$ chose Autumn, $10$ chose Winter, and $40$ chose Spring. Which season is the mode?

A pie chart shows that $50\%$ of students walk to school. If the total number of students is $120$, how many degrees would the 'Walk' sector occupy?

A set of data has a median of $15$. If you add the value $100$ to the dataset, which of the following is most likely to happen?

The range of a set of integers is $0$. What can you conclude about the integers in the set?

A basketball player makes $70\%$ of her free throws. If she takes $20$ shots in a game, what is the best estimate for how many she will make?

A dataset has a mean of $20$. If one value of $20$ is removed from the dataset, how does this affect the mean?

Determine the range of $60, 10$, and $80$.

What is the mean of $12, 14$, and $16$?

Which number is the mode in this list: $1, 2, 3, 4, 5, 1$?

Find the median of the numbers $100, 200$, and $300$.

If the sum of $6$ numbers is $42$, what is their mean?

A set of data is $3, 3, 5, 5, 7, 7, 9, 9$. What is the median?

Find the range of the following decimal set: $1.1, 1.11, 1.01, 1.111$.

If the mean of $x, y$, and $z$ is $12$, and the mean of $x$ and $y$ is $9$, find the value of $z$.

A data set of five numbers has a mean of $15$, a median of $14$, and a mode of $12$. If the range is $10$ and the smallest value is the mode, what is the largest number?

The range of $7$ consecutive integers is always:

What is the probability of picking a letter that is NOT a vowel from the word 'CAT'?

A bag contains 9 black marbles and 1 white marble. How would you describe the probability of picking a black marble?

If a number is chosen from 1 to 20, what is the probability it is a multiple of 5?

There are 4 kings in a standard deck of 52 cards. What is the probability of drawing a king?

If the probability of a specific outcome in a random event is $0.05$, what is the probability that this outcome does NOT occur?

A bag contains 10 red marbles and 20 blue marbles. If you perform 60 trials of picking a marble and replacing it, how many times would you expect to pick a red marble?

What is the probability of picking a consonant from the word 'GEOMETRY'?

A bag contains 15 balls, some white and some black. The probability of drawing a white ball is $P$. If 5 more white balls are added, the new probability of drawing a white ball is $P + 0.1$. Find the original number of white balls.

A spinner has sectors labeled 1, 2, 3, and 4. The probability of landing on 1 is $0.2$, and on 2 is $0.3$. If the spinner is spun 100 times, the expected number of times it lands on 3 or 4 is:

A box contains 6 red, 4 blue, and 2 green balls. A ball is drawn and replaced, then another is drawn. What is the probability that neither is green?