Statistics and Probability

If the frequencies for three groups are $15, 25,$ and $10$, what is the total frequency?

What is the frequency of 'A' in the list: $A, B, A, C, A, B, A$?

How many tallies are in the representation $||||$ $/$ $||||$ $/$ $||||$ $/$ $||||$ $/$?

If you look up the results of a football match in a newspaper, you are using:

A frequency table for the number of cups of water drunk per day: 1-2 cups (5 people), 3-4 cups (12 people), 5-6 cups (8 people). How many people were included in the survey?

Which of these methods is best for collecting primary data about the favorite sport of people in a park?

If the frequencies for four categories are $10, 15, 20,$ and $5$, what is the percentage frequency for the category with 20?

A tally chart for bird types is converted to a frequency table. The frequency of 'Swallows' is 24, which is 1.5 times the frequency of 'Blackbirds'. If 'Blackbirds' and 'Swallows' together make up $80\%$ of the total data, how many birds were recorded in total?

A frequency table has three categories with frequencies $2x+1, 3x-4$, and $x+9$. If the total frequency is 54, find the value of the highest frequency.

In a survey, 200 people were asked about their commute distance. $20\%$ travel $0-5$km, $50\%$ travel $6-15$km, and the rest travel $16+$km. How many more people travel $6-15$km than $16+$km?

In a bar chart, if the bar for 'Rain' is at $15$ and 'Snow' is at $5$, how many fewer days did it snow than rain?

A pictogram has a key: $1$ book $= 20$ pages. If a student read $50$ pages, how many symbols should be drawn?

On a bar chart, the bars are usually separated by gaps. What type of data is usually represented this way?

If a pictogram key says $1$ clock symbol $= 30$ minutes, how many minutes are represented by $3$ symbols?

A pictogram uses a box symbol to represent $10$ items. If category 'A' has $4$ boxes and category 'B' has $2.5$ boxes, how many items are there in total for both categories?

A bar chart has a bar for 'January' at $40$ and 'February' at $30$. If the data for 'March' is the sum of January and February, how high should the March bar be?

In a pictogram, a lightning bolt symbol represents $50$ volts. How many symbols are needed to represent $225$ volts?

In a pictogram, a clock represents $15$ minutes. If 'Task A' took $2$ hours and $7.5$ minutes, how many clock symbols are needed?

A bar chart has a scale where $4\text{ cm}$ represents $50$ students. If the bar for 'Soccer' is $6.8\text{ cm}$ tall, how many students play Soccer?

In a pictogram, a bus symbol represents $42$ passengers. If a bus route carried $357$ passengers, how many symbols should be drawn?

The sector for 'Rainy days' is $10\%$. How many degrees is this on a pie chart?

A pie chart has three sectors: A, B, and C. A is $150^{\circ}$ and B is $100^{\circ}$. What is the angle of sector C?

The pie chart shows the results of a survey of 200 people. If the 'No' sector is $25\%$, how many people said 'No'?

What fraction of the pie chart is represented by a $60^{\circ}$ sector?

The pie chart shows the favourite fruit of 40 students in a Grade 6 class. Based on the diagram, how many students chose Apple as their favourite fruit?

If the 'Yellow' sector in a pie chart is $54^{\circ}$, what fraction of the total is this?

A pie chart for a school day of 24 hours shows 'Sleeping' as $120^{\circ}$. How many hours are spent sleeping?

A school surveyed $120$ students about their favorite lunch options. The data is represented in a pie chart where the sector for 'Pasta' has an angle of $108^{\circ}$, the sector for 'Pizza' has an angle of $144^{\circ}$, and the remaining students chose 'Salad'. If the school decides to increase the total number of students surveyed to $200$ while keeping the same percentage for each lunch option, how many more students would choose 'Salad' in the new survey than in the original one?

A test has 40 questions. A student got 24 correct, 10 incorrect, and left the rest blank. In a pie chart showing these results, what is the angle of the 'Blank' sector?

Three candidates ran for class president. Anna got $45\%$ of the votes, Bob got $35\%$ of the votes, and Clara got the rest. If the total number of votes was 80, how many degrees would Clara's sector be on a pie chart?

What is the range of this set of values: $12, 18, 14$?

Calculate the mean of the following: $9, 9, 9$.

Find the mode of the numbers: $0, 0, 1, 2, 3$.

What is the median of the values: $1.5, 2.5, 3.5$?

Find the median of $100, 200, 300, 400$.

Calculate the mean of the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$.

What is the range of $0.05, 0.08, 0.02, 0.15$?

The range of a set of $10$ numbers is $15$. If each number is decreased by $5$, what is the new range?

If the mean of $n$ numbers is $M$ and one number $x$ is added, what is the new mean?

A teacher calculates the mean score of $25$ students as $64$. Later, she discovers that one score was misread as $86$ instead of $36$. What is the correct mean?

A box has $20$ identical toy cars. If $19$ are red and $1$ is blue, how likely is it that you pick a red car?

What is the probability of choosing a consonant from the word 'BED'?

A fair $6$-sided die is rolled. What is the probability of rolling a number that is NOT a $6$?

A bag contains $5$ white marbles and $5$ black marbles. If you pick one, what is the probability it is NOT white?

If you choose a letter from the word $APPLE$, what is the probability of choosing 'P'?

A target has a $15\%$ chance of being hit. What is the probability of missing the target?

A card is selected from a deck numbered $1$ to $30$. What is the probability that the number is a multiple of $10$?

A number is picked at random from the integers $1$ to $100$ inclusive. What is the probability that the number is a palindrome (reads the same forward and backward)?

If a letter is chosen at random from the word $CHANCE$, what is the probability that the letter is NOT a $'C'$?

A spinner is colored Red, Blue, Green, and Yellow. The probabilities of landing on Red, Blue, and Green are $0.15$, $0.25$, and $0.4$ respectively. What is the probability of landing on Yellow?