Describe the type of data that an ungrouped frequency table is suited to represent.
For each of the following scenarios, state what categories A, B, C and D represent in the corresponding frequency tables:
Sophia asked 28 of her students to pick their favourite sport. 8 picked Football, 15 picked Volleyball, 5 picked Basketball, and 5 picked Tennis.
| \text{Sport} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 8 | 15 | 5 | 5 |
Rochelle asked her students how they spent their weekend. 11 said Beach, 13 said Skiing , 6 said Fun Park, and 10 said Camping.
| \text{Activity} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 11 | 13 | 6 | 10 |
Hannah interviewed 29 people about how they get to school. 8 go by Bus, 12 go by Car, 9 go by Train, and 13 go by Bicycle.
| \text{Transport} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 8 | 12 | 9 | 13 |
Mr. Smith asked his 28 students about what they want to be when they grow up. 10 wanted to be a doctor, 12 wanted to be a teacher, 6 wanted to be a civil engineer, and 14 wanted to be a politician.
| \text{Job} | A | B | C | D |
|---|---|---|---|---|
| \text{Frequency} | 10 | 12 | 6 | 14 |
In a survey, some people were asked approximately how many minutes they take to decide between brands of a particular product. The results are shown in the frequency table below:
How many people took part in the survey?
What proportion of people surveyed took 1 minute to make a decision?
| Minutes Taken | Frequency |
|---|---|
| 1 | 13 |
| 2 | 17 |
| 3 | 12 |
Judy rolled a die 29 times. She recorded the frequency of each number rolled in the table shown:
Which number was rolled the most?
Which number did she not roll at all?
| Number rolled | Frequency |
|---|---|
| 1 | 6 |
| 2 | 3 |
| 3 | 0 |
| 4 | 7 |
| 5 | 4 |
| 6 | 9 |
A gymnast received the following scores over several rounds of back to back competition:
If she received these scores over 15 rounds of competition, what is the missing value?
In what percentage of rounds did the gymnast receive a score of 8? Round your answer to two decimal places.
In what percentage of rounds did the gymnast score less than 7? Round your answer to two decimal places.
| Score | Frequency |
|---|---|
| 5 | 4 |
| 6 | 1 |
| 7 | 4 |
| 8 | |
| 9 | 2 |
The following table shows the number of trains arriving either on time or late at a particular station:
How many trains were late on Friday?
How many trains passed through the station on Wednesday?
How many trains were on time throughout the entire week?
What fraction of trains were on time over the whole week?
| Day | Arriving on time | Arriving late |
|---|---|---|
| \text{Monday} | 23 | 38 |
| \text{Tuesday} | 12 | 25 |
| \text{Wednesday} | 22 | 29 |
| \text{Thursday} | 30 | 27 |
| \text{Friday} | 11 | 14 |
| \text{Saturday} | 15 | 11 |
| \text{Sunday} | 14 | 10 |
Bob asked 41 of his students to choose their favourite toy. 7 students picked cars, 13 people picked planes, 6 people picked balls and 15 people picked video games.
Create a frequency table showing Bob’s results.
Ben asked 35 people about how many siblings they have. He found that 12 people had no siblings, 15 people had one sibling, 3 people had two siblings and 5 people had three siblings.
Create a frequency table showing Ben's results.
20 people were asked how many hours of sleep they had gotten the previous night. The numbers below are each person’s response:
1,\enspace 6,\enspace 9,\enspace 8,\enspace 7,\enspace 9,\enspace 7, \enspace 10,\enspace 2,\enspace 3,\enspace 8,\enspace 7,\enspace 7,\enspace 3,\enspace 7,\enspace 3,\enspace 3,\enspace 7,\enspace 10,\enspace 9
Construct a frequency table for this data set.
How many people got 7 hours sleep?
What is the maximum amount of sleep reported by the group?
The set of marks for a class of students is given below:
92,\enspace 58,\enspace 69,\enspace 58,\enspace 58,\enspace 81,\enspace 58,\enspace 76,\enspace 76,\enspace 76
Construct a frequency table for this data set.
How many students are there in the class?
How many students will get a Distinction grade (80 \lt \text{Score} \leq 90)?
How many students will get a High Distinction grade (\text{Score} \gt 90)?
What percentage of students obtain a High Distinction grade? Round your answer to two decimal places.
Below are the luggage weights of 15 passengers, rounded to the nearest kilogram:
16,\enspace 19,\enspace 21,\enspace 22,\enspace 19,\enspace 22,\enspace 22,\enspace 17,\enspace 21,\enspace 19,\enspace 16,\enspace 21,\enspace 19,\enspace 16,\enspace 22
Construct a frequency table for this data set.
How many times did someone check-in luggage that weighed more than 19 \text{ kg}?
There is a baggage restriction of 20 \text{ kg}. The airline charges each passenger \$1.50 for every kilogram in their luggage above this restriction. How much was charged altogether for excess baggage?
Some people were asked approximately how many of their high school friends they remained in contact with after high school. The results were given below:
40,\enspace 0,\enspace 40,\enspace 30,\enspace 20,\enspace 0,\enspace 40,\enspace 10,\enspace 0,\enspace 20,\enspace 10,\enspace 30,\enspace 40, \enspace 40,\\ \enspace 0, \enspace 20,\enspace 10,\enspace 30,\enspace 30,\enspace 40,\enspace 40,\enspace 10,\enspace 40,\enspace 30,\enspace 30,\enspace 30,\enspace 20,\enspace 20, \\ \enspace 10,\enspace 40,\enspace 0,\enspace 40,\enspace 10,\enspace 30,\enspace 20,\enspace 40,\enspace 10,\enspace 10,\enspace 40,\enspace 10,\enspace 40,\enspace 20
Organise the data into a frequency table.
Find the total number of people surveyed.
Find the number of people who kept in touch with 30 friends.
Find the percentage of people who kept in touch with less than 40 friends. Round your answer to two decimal places.
The Cancer Council surveyed some random people, asking them to estimate (to the nearest 10 hours) approximately how much time they spent in the sun during the previous summer. The frequency histogram for their responses is shown:
How many people were surveyed?
What fraction of people spent at least 60 hours in the sun?
Consider the given histogram:
Which number occured most frequently?
How many scores of 1 were there?
How many more scores of 1 were there than scores of 4?
Construct a frequency table for the histogram shown:
Consider the following histogram showing the length of phone calls:
Construct a frequency table for this data.
Find the total number of minutes spent on phone calls.
The person that made this many calls received 123 minutes of free calls, and are then charged \$1.00 per minute afterwards. How much would they spend in total?
The amount of snowfall (in centimetres) is recorded at the base of a mountain each day. The results are given below:
6, \enspace 2, \enspace 0, \enspace 3, \enspace 2, \enspace 2, \enspace 3, \enspace 4, \enspace 2, \enspace 0, \enspace 3, \enspace 2, \enspace 3, \enspace 4, \enspace 6, \enspace 4, \enspace 3, \enspace 0, \enspace 5, \enspace 3
To create a frequency histogram of the data, which variable goes on the horizontal axis?
Construct a frequency histogram of the data.
On how many days did 3 \text{ cm} of snow fall?
On how many days did at least 4 \text{ cm} of snow fall?