Statistics and Probability

Which of the following would produce continuous data?

Which of these is a way to ensure a sample is random?

A survey asks: 'How many siblings do you have? $0, 1, 2, 3+$.' This data is:

If a tally chart for 'Red Cars' shows $||||$ $||||$ $|||$, what is the total count?

In survey design, what is the specific term for a question that combines two different topics into one, such as: 'Do you enjoy the food and the service at this restaurant?'

A researcher wants to study the commute habits of all employees in a large office building. They decide to select a sample from a list of everyone who has a registered parking space in the building's garage. Identify the main group of employees that is missing from this sampling frame.

A questionnaire includes the following option for age: "[] 10-20, [] 20-30, [] 30-40". What is a potential problem with these categories?

A researcher is studying the average income of a city. They survey people at a luxury yacht club. This is an example of:

Which of these is a 'Continuous' variable?

In a systematic sample with $N=1000$ and $n=50$, the 'sampling interval' $k$ is:

A stem-and-leaf plot has values $41, 44, 45$. What is the stem?

In a line graph, time is usually plotted on which axis?

If a bar chart has categories 'A', 'B', 'C', and 'D' with frequencies $4, 6, 2, 8$, which category represents the median frequency value if you order the categories by their frequency?

A pie chart sector for 'Dogs' is $270^\circ$. What percentage of the pets are 'Dogs'?

A pie chart for monthly expenses: Rent (40%), Food (25%), Utilities (15%), Savings (?). If the total monthly income is $\$3000$, how much is put into Savings?

A bar chart shows the results of a dice roll (60 rolls). '1': 10, '2': 12, '3': 8, '4': 11, '5': 9, '6': 10. What is the relative frequency of rolling a number greater than 4?

A line graph shows water level in a tank. It starts at 100L. Every hour, 15L is drained. Which equation represents the water level ($L$) after $h$ hours?

In a pie chart with three sectors (X, Y, Z), Sector X is twice the size of Y, and Y is three times the size of Z. What is the angle of Sector X?

A double bar chart shows attendance. Monday: 40 Boys, 50 Girls. Tuesday: 45 Boys, 45 Girls. Wednesday: 50 Boys, 30 Girls. On which day was the percentage of boys the highest?

A stem-and-leaf plot shows the following data: $4 | 1, 2, 5, 8$ $5 | 0, 0, 3, 6, 9$ $6 | 2, 5$ \nIf a new value '70' is added, which measure of central tendency changes the most?

Find the mean of the following data: $11, 13, 15$.

A thermometer shows $50^\circ F, 60^\circ F, 50^\circ F, 70^\circ F,$ and $50^\circ F$. What is the mode temperature?

Find the median of the data: $6, 1, 8, 3, 5$.

Calculate the mean of the numbers: $10, 20, 30, 40$.

If the mean of $5$ numbers is $10$ and each number is multiplied by $2$, what is the new mean?

Find the mean of $12, 14, 16,$ and $18$.

What is the median of the data set: $50, 60, 70, 80, 90, 100$?

The mean of $10$ numbers is $15$. If one number is excluded, the mean becomes $16$. What is the excluded number?

In a data set of $5$ values, the mean is $12$, the median is $10$, and the mode is $8$. If the largest value is $20$, what is the second largest value?

The mean of $40$ numbers is $38$. If two numbers $45$ and $55$ are discarded, find the mean of the remaining numbers.

What is the range of the following decimal sequence: $\{1.1, 2.2, 3.3, 4.4, 5.5\}$?

A person recorded their daily steps as: $\{8000, 12000, 7500, 10000\}$. What is the range of steps?

Find the range of the data set: $\{77, 88, 99, 66\}$.

If the range of a data set is $0$, what can be concluded about the values in that set?

A student's grades are given as percentages: $10\%, 25\%, 5\%,$ and $40\%$. What is the range of these percentages?

Calculate the range of the set $\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}\}$.

If $x > 0$, what is the range of a data set consisting of the values $2x$ and $x$?

Determine the range of the set $\{-|-5|, |-3|, -2, 0\}$.

What is the range of the set of all distinct prime factors of $60$?

Find the range of the set $\{\frac{1}{x}, x\}$ when $x = 5$.

A box contains $10$ red cards and $10$ black cards. If you draw one card, what is the probability it is red?

What is the probability of picking a vowel from the word 'SKY'?

A letter is chosen from 'SUCCESS'. What is the probability of picking the letter 'S'?

A spinner is spun $10$ times. It lands on 'Red' $3$ times, 'Blue' $2$ times, and 'Green' $5$ times. What is the experimental probability of landing on 'Blue'?

If the probability of an event is $0$, the event is considered:

A jar contains $4$ red, $5$ blue, and $11$ white marbles. If a marble is drawn at random, what is the probability that it is blue?

A student rolls a die $100$ times and gets a '6' exactly $20$ times. What is the experimental probability of rolling a '6'?

A bag contains 6 red, 4 green, and 2 blue balls. If two balls are drawn without replacement, what is the probability that at least one ball is blue?

Five people (A, B, C, D, E) stand in a line. What is the probability that A and B are standing next to each other?

In a factory, machine A produces $60\%$ of the items and machine B produces $40\%$. $2\%$ of A's items are defective, and $1\%$ of B's items are defective. If an item is chosen at random, what is the probability it is defective?

A piece of fruit is chosen at random from a bowl containing only Apples and Bananas. What is the sample space $S$?

A day of the week with the letter 'r' in its name is chosen at random. What is the sample space $S$?

A prime number less than $6$ is chosen from the positive integers. What is the sample space $S$?

A vowel is chosen at random from the word $BANANA$. What is the sample space $S$ of unique outcomes?

A card is chosen from a set labeled $\{North, South, East, West\}$. What is the size of the sample space $n(S)$?

A fair 10-sided die is rolled. Let $E$ be the event of rolling a number that is a factor of $10$ but NOT a prime number. Which set represents $E$?

From the set of vowels $\{A, E, I, O, U\}$, one letter is chosen. Let $E$ be the event that the letter comes after 'J' in the alphabet. Which set represents $E$?

A set of numbers $S = \{1, 4, 9, 16, 25, 36, 49, 64\}$. One number is chosen. Event $E$ is that the number is a multiple of $4$ and the sum of its digits is odd. Which subset represents $E$?

An experiment consists of rolling a 20-sided die. Let $E$ be the event that the number is a factor of $60$ and is greater than $12$. Which subset represents $E$?

A token is drawn from a bag with numbers $1$ to $50$. Let $E$ be the event that the number is both a multiple of $2$ and a multiple of $3$, and is also a square number. Which set represents $E$?

Find the range of the following set: $-5, 0, 5, 10$.

What is the mode of these test scores: $85, 90, 85, 70, 90, 85$?

Which of these probabilities represents an 'unlikely' event?

What is the probability of picking the letter 'M' from the word 'MATH'?

If you roll two fair six-sided dice, how many possible outcomes are there in the sample space?

The mean of two numbers is $x$. If one number is $y$, what is the other number in terms of $x$ and $y$?

A bag has $5$ red balls and $n$ green balls. If the probability of picking a red ball is $0.25$, what is the value of $n$?

The mean of $x-2, x, x+2$ is 15. What is the value of $x$?

If you roll two dice, what is the probability that the product of the two numbers is exactly 12?

A set of data $5, 9, 12, 15, x$ has a mean of 11. What is the range of this data set?