Data Handling

Which tool would you use to find out which book is most borrowed from the library?

What is the main difference between a survey and an observation?

Why is it important to have a variety of people in a survey sample?

Which of the following is most likely to be collected via a survey?

Why should a researcher avoid using complicated jargon or 'big words' in a survey for elementary school students?

A survey question asks: 'How often do you exercise?' with options: 'Never', 'Rarely', 'Sometimes', 'Often'. This type of data is:

If you want to find out the 'mode' of shoe sizes in your grade, which data collection method is most practical?

A phone company surveys its customers by calling them at 11:00 AM on a Tuesday. Which group is most likely to be 'Under-represented' in this sample?

An athlete tracks their $100\text{m}$ sprint times every day for two weeks. What is the 'Population' in this specific statistical context?

Why might a researcher choose 'Face-to-Face Interviews' over 'Online Surveys' even if they are more expensive?

The results of a dice roll are: $1, 6, 2, 1, 3, 1$. What is the frequency of rolling a $1$?

Which tally represents $3$?

In a frequency table, what should you do if a category has no items?

If the frequency of 'Soccer' is $20$, how many diagonal slashes will be in the tally column if each set of $5$ has one diagonal slash?

In a frequency table, the frequency of 'Type A' is $12$ and 'Type B' is $16$. If $4$ people change their preference from Type B to Type A, what will be the new frequency of Type A?

A frequency table for favorite juice: Orange ($22$), Apple ($18$), Mango ($x$). If the total number of responses is $50$, what is the value of $x$?

A frequency table of school bus arrival times (minutes late): $0$ min ($10$), $5$ mins ($4$), $10$ mins ($1$). How many days was the bus late?

In a frequency table for heights, the frequency of the $150-160$ cm group is $x$. If the frequency is doubled, it would be $10$ more than the frequency of the $160-170$ cm group. If the $160-170$ cm group has $18$ students, what is $x$?

A frequency table for $120$ observations has $5$ categories. Four categories have frequencies: $22, 18, 35, 25$. What is the relative frequency of the fifth category?

A frequency table of age groups: $0-18$ ($20$), $19-35$ ($x$), $36-60$ ($y$), $60+$ ($10$). If $x$ is $40\%$ of the total and $y$ is $20\%$ of the total, find the total frequency $N$.

If a pie chart has a section that is exactly a right angle ($90^{\circ}$), what fraction of the whole data does it represent?

A line graph shows that at $1:00$ PM the temperature was $18^{\circ}C$ and at $2:00$ PM it was $18^{\circ}C$. The line between these two points is:

In a pictograph, if $1$ coin symbol represents $25$ cents, how many cents are $3$ symbols?

In a bar graph, if 'Carrot' has a bar of $8$ and 'Potato' has a bar of $12$, which vegetable is more popular according to the graph?

A pie chart shows favorite subjects. If 'Math' is $20\%$, 'Science' is $30\%$, and 'English' is $50\%$, and $200$ students were surveyed, how many more students chose English than Math?

A bar graph shows the number of ice creams sold: Vanilla ($40$), Chocolate ($50$), Strawberry ($30$). What is the total number of ice creams sold?

A line graph shows the temperature of water cooling down: $0$ min ($90^{\circ}C$), $10$ min ($70^{\circ}C$), $20$ min ($55^{\circ}C$). How much did the temperature drop in the first $20$ minutes?

A bar graph shows sales: Mon $\$200$, Tue $\$250$, Wed $\$150$. If the total sales for the 5-day week is $\$1,000$ and Thu sales are double Fri sales, how much was sold on Thursday?

A line graph shows distance from home. $0$ to $2$ hours: travels $100$ km. $2$ to $3$ hours: stays still. $3$ to $5$ hours: returns home. What is the average speed for the entire $5$-hour trip?

A pie chart shows voting results. Candidate A: $144^\circ$, Candidate B: $30\%$, Candidate C: rest. If $1,200$ people voted, how many more votes did Candidate A get than Candidate C?

What is the mode of the data set $9, 9, 10, 11$?

Find the median of $12, 14, 13$.

Calculate the mean of $0$ and $10$.

What is the mode of $1, 4, 1, 5, 1$?

In a data set of $11$ distinct values arranged in ascending order, which position represents the median?

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

Find the mean of the first four positive multiples of $5$.

The mean of $n$ numbers is $10$. If the sum of the numbers is $150$, what is the value of $n$?

The mean of $5$ numbers is $18$. After removing one number, the mean of the remaining $4$ numbers is $16$. If the removed number is replaced by $20$, what is the new mean of the $5$ numbers?

Find the value of $k$ if the mean of $2k-1, 2k+1, 2k+3,$ and $2k+5$ is $10$.

The number of apples in four baskets are $15, 18, 12,$ and $20$. What is the range of the number of apples?

If you have the data set $10, 20, 30, 40, 50$, and you add the number $60$ to it, how does the range change?

What is the range of the following elevations relative to sea level: $150m, -20m, 300m, 50m, -10m$?

Calculate the range of the following set: $0.25, 0.50, 0.10, 0.75$.

If the range of a set of data is $15$ and every value in the set is doubled, what is the new range?

What is the range of the fractions: $\frac{3}{10}, \frac{7}{10}, \frac{1}{10}, \frac{9}{10}$?

A person saved the following amounts over five months: $\$45, \$60, \$30, \$55,$ and $\$40$. Find the range of the savings.

If the range of the set $\{2, y, 9\}$ is $7$, how many different integer values can $y$ take?

Let $S$ be the set of all odd integers from $1$ to $19$ inclusive. What is the range of $S$?

The range of a dataset is $0.5$. If the maximum value in the dataset is $1.25$, what is the minimum value?

If a game is played $10$ times and an event happens $4$ times, what is the relative frequency (probability) of that event?

A box has $10$ coins. $2$ of them are silver and $8$ are copper. What is the percentage chance of picking a silver coin?

Which decimal best represents an event that is 'Likely' to happen?

What is the probability of rolling an odd number on a standard six-sided die?

A storage bin contains $50$ markers. $30\%$ of the markers are black, $12$ are red, and the remaining markers are blue. If a marker is selected at random, what is the probability that it is blue?

A spinner has $8$ equal sections. $3$ are red, $2$ are blue, and $3$ are yellow. What is the probability of the spinner NOT landing on yellow?

If the probability of winning a game is $0.05$, what is the probability of losing the game?

A fair six-sided die is rolled. What is the probability of getting a number that is both even and greater than $2$?

In a bag of $60$ candies, $20\%$ are orange, $25\%$ are strawberry, and the rest are lemon. If one candy is chosen, what is the probability it is lemon?

A cube with faces numbered $1, 1, 2, 2, 3, 3$ is rolled. What is the probability of rolling a $2$?

If you choose one day of the week at random, what is the probability that it is a weekday (Monday through Friday)?

A jar contains $50$ tokens: $10$ are silver and $40$ are copper. What is the probability of picking a silver token?

A letter is chosen at random from the word $FRIDAY$. What is the probability that the letter is $D$?

A $12$-sided die (numbered $1$ to $12$) is rolled once. What is the probability of rolling the number $12$?

A box contains cards labeled with all the prime numbers between $10$ and $30$ inclusive. If one card is drawn at random, what is the probability that the sum of its digits is an even number?

A number is picked at random from $1$ to $24$. What is the probability that the number is a factor of $24$?

A letter is chosen at random from the word $SUBTRACTION$. What is the probability that the letter is a '$T$'?

A box contains $4$ red balls, $5$ blue balls, and some green balls. If the probability of choosing a non-blue ball is $0.75$, how many green balls are in the bag?

A bag contains $4$ red and $6$ green marbles. If you draw two marbles with replacement, what is the probability that both marbles are of different colors?

Two spinners are used. Spinner A has numbers $1, 2, 3$. Spinner B has numbers $1, 2, 3$. What is the probability that the sum is an even number?

When collecting data on 'daily temperature', which of the following is most accurate?

If the maximum value is $100$ and the range is $40$, what is the minimum value?

What is the mode of: Blue, Red, Blue, Yellow, Red, Blue?

Which of these is discrete data?

What is the best measure of central tendency for the favorite color of a class?

In a dot plot, $5$ dots are on $2$, $3$ dots are on $4$, and $2$ dots are on $6$. What is the mean?

The heights of two plants are $12.5$ cm and $15.3$ cm. What is the mean height?

If the mean of $n$ numbers is $M$, and we remove a number equal to $M$, what is the new mean?

A frequency table shows 4 students got an A, 8 got a B, and 4 got a C. What fraction of the students got a B?

In a data set, the range is 50. If the smallest value is doubled and the largest value is doubled, what is the new range?

If a dot plot shows that 0 students have 5 pets, how many dots are above the number 5?

A dot plot for candy bars sold shows 10 dots on 'Friday' and 5 dots on 'Saturday'. How many candy bars were sold on Friday?

In a dot plot, if you move from left to right, the numbers on the axis usually:

A dot plot has 1 dot on 1, 2 dots on 2, 3 dots on 3, and 4 dots on 4. What is the mode?

A dot plot contains values 5, 5, 6, 7, 8, 8, 9. If the value 7 is removed, which measure definitely stays the same?

A dot plot has a peak at 20, with dots tapering off equally on both sides. This distribution is likely:

In a dot plot, there are dots at 1, 2, 2, 3, 3, 3, 4, 4, 5. What is the sum of all data values?

On a dot plot, the frequency of 'Score 10' is $x$. If there are $40$ dots in total and the relative frequency of 'Score 10' is $25 \%$, what is the value of $x$?

A dot plot with 6 dots has a mean of $10$. Five of the dots are at $8$. Where is the $6^{th}$ dot?

A dot plot tracking 'Days of rain per month' has dots at $4, 5, 5, 6, 7, 8, 25$. If $25$ is an outlier, what effect does removing it have on the range?

A travel graph shows a journey from $A$ to $B$. If the distance from $A$ to $B$ is $10$ km and the return journey takes the same time, what is the total distance recorded for the round trip?

A conversion graph converts gallons to pints. If $1$ gallon = $8$ pints, how many pints are in $0.5$ gallons?

A car travels $50$ miles in the first hour and $50$ miles in the second hour. What is the total distance on the travel graph after $2$ hours?

A travel graph has two lines, A and B. Line A is steeper than line B. Which one represents a higher speed?

A conversion graph shows $4$ liters of paint covers $50$ square meters. How much paint is needed for $125$ square meters?

If a travel graph's line is getting steeper, what does this represent about the object's speed?

A conversion graph shows $1$ foot = $12$ inches. How many feet are in $54$ inches?

A travel graph shows a person walking away from home. They walk $2$ km in $30$ mins, then stay at that distance for $15$ mins, then walk another $1$ km in $15$ mins. What is their average speed for the whole hour in km/h?

A conversion graph between Liters and Gallons is used. If $20$ Liters is $4.4$ Gallons, how many Gallons are in a $50$-Liter drum?

A car travels $200$ km. The first $100$ km is at $50$ km/h and the second $100$ km is at $100$ km/h. What is the average speed shown by the total distance-time graph?

A spinner has $10$ equal sections numbered $1$ to $10$. What is the probability of landing on a number greater than $8$?

If you roll a standard $6$-sided die, what is the probability of rolling a number $\le 2$?

Which of the following describes an event with a probability of $0.5$?

What is the probability of picking an 'S' from the letters in 'SUCCESS'?

A bag has 8 numbered balls: 1, 2, 3, 4, 5, 6, 7, 8. What is the probability of picking a ball with a number greater than 2?

A die is rolled 120 times. How many times would you expect to roll an even number?

A box contains 6 blue shirts and 4 white shirts. If you pick a shirt at random, what is the probability expressed as a percentage that it is blue?

A fair die is rolled. If the result is an even number, a coin is tossed. If the result is an odd number, the die is rolled again. How many total outcomes are possible in this experiment?

A jar contains 100 jellybeans: 30 are red, 20 are blue, and 50 are green. If you eat 20 green jellybeans, what is the new probability of picking a red jellybean?

A bag contains 4 red, 2 blue, and 4 green balls. Two balls are drawn without replacement. What is the probability that they are not the same color?