In a survey, people were asked approximately how many minutes they take to decide between brands of a particular product. The frequency table shows the results:
How many people took part in the survey?
| Minutes Taken | Frequency |
|---|---|
| 0 \leq{x} \lt 1 | 13 |
| 1 \leq{x} \lt 2 | 17 |
| 2 \leq{x} \lt 3 | 12 |
How many people surveyed took between 1 and 3 minutes to make a decision?
What proportion of people surveyed took less than 1 minute to make a decision?
The following frequency table shows the data distribution for the length of leaves collected from a species of tree in the botanical gardens:
How many leaves less than 60 \text{ mm} were collected?
What was the most common interval of leaf length collected?
| Leaf length, (mm) | Frequency |
|---|---|
| 0 \leq x \lt 20 | 5 |
| 20\leq x \lt 40 | 11 |
| 40\leq x \lt 60 | 19 |
| 60\leq x \lt 80 | 49 |
| 80\leq x \lt 84 | 43 |
Are leaves more likely to be greater than 60 \text{ mm} in length or less than 60 \text{ mm} in length?
Sean is working at a fast food restaurant, and decides to take a survey of the age of his customers one evening. The results are shown in the given frequency table:
How many customers did Sean serve that evening?
What percentage of Sean's customers were younger than 20 years old?
What percentage of Sean's customers were 50 or older?
| Age (years) | Frequency |
|---|---|
| a \lt 20 | 8 |
| 20\leq a \lt 35 | 16 |
| 35\leq a \lt 50 | 25 |
| 50\leq a \lt 65 | 21 |
| 65\leq a | 10 |
The time spent by patients waiting at a doctor's office was recorded over one week. The results are shown in the given frequency table:
How many patients visited the doctor this week.
What percentage of patients had to wait half an hour or more?
What percentage of patients were seen within 20 minutes?
| Wait time (mins) | Frequency |
|---|---|
| 0\leq t \lt 10 | 37 |
| 10\leq t \lt 20 | 50 |
| 20\leq t \lt 30 | 24 |
| 30\leq t \lt 40 | 22 |
| 40\leq t \lt 50 | 12 |
| 50\leq t \lt 60 | 2 |
| 60\leq t \lt 70 | 3 |
The speed of passing cars on a stretch of highway are recorded by a police officer.
The results are shown in the first table:
How many cars did the police officer observe?
The stretch of highway that the police officer was observing had a speed limit of 100\text{ km/h}. How many drivers were recorded to be speeding?
| \text{Speed (km/h)} | \text{Frequency} |
|---|---|
| 80 \lt x\leq 90 | 3 |
| 90 \lt x\leq 100 | 55 |
| 100 \lt x \lt 110 | 10 |
| 110\leq x \lt 120 | 6 |
| 120\leq x \lt 130 | 0 |
| 130\leq x \lt 140 | 1 |
The second table shows the fine in dollars and demerit points for speeding. Use this to find:
| Speed over the limit | Fine | Demerit points |
|---|---|---|
| x \lt 10 | 165 | 2 |
| 10\leq x \lt 20 | 350 | 3 |
| 20\leq x \lt 30 | 730 | 5 |
| 30\leq x \lt 45 | 870 | 7 |
Below are the luggage weights of 15 passengers, rounded up to the nearest kilogram:
20,\, 21,\, 18,\, 17,\, 19,\, 22,\, 20,\, 17,\, 22,\, 16,\, 21, \,21,\, 18, \,21, \,20
Complete the frequency table.
How many times did someone check-in luggage that weighed more than 19 \text{ kg}?
There is a baggage restriction of 20 \text{ kg} and the airline charges each passenger \$1.50 for every kilogram in their luggage above this restriction.
Find the total amount charged for baggage with 1 \text{ kg} excess weight.
Find the total amount charged for baggage with 2 \text{ kg} excess weight.
Find the total amount charged for excess baggage.
| \text{Weight (kg)} | \text{Frequency} |
|---|---|
| 15 \lt x\leq 16 | |
| 16 \lt x\leq 17 | |
| 17 \lt x\leq 18 | |
| 18 \lt x\leq 19 | |
| 19 \lt x \leq 20 | |
| 20 \lt x \leq 21 | |
| 21 \lt x\leq 22 |
The mass in grams of fifty laboratory rats are shown below:
391, \quad 401, \quad 379, \quad 419, \quad 382, \quad 433, \quad 412, \quad 321, \quad 359, \quad 407,
400, \quad 415, \quad 365, \quad 344, \quad 424, \quad 461, \quad 429, \quad 399, \quad 406, \quad 347,
423, \quad 364, \quad 413, \quad 393, \quad 391, \quad 383, \quad 388, \quad 436, \quad 394, \quad 452,
385, \quad 406, \quad 354, \quad 397, \quad 447, \quad 384, \quad 332, \quad 376, \quad 370, \quad 318,
351,\quad 432,\quad 391,\quad 436,\quad 379,\quad 418,\quad 369,\quad 446,\quad 345,\quad 416
Select the most suitable class interval width from the following:
5 \text{ g}
20 \text{ g}
50 \text{ g}
100 \text{ g}
Create a frequency table for this set of data. The class intervals must included the lower endpoint. Use 300 \text{ g} as the lower endpoint for the first class interval. Include a row for the total.
How many rats are in the most frequent mass category?
How many rats are at least 400\text{ g}?
An online survey asks fifty parents to respond to a range of questions about a school. The times taken to respond to the survey are shown below:
Time (in minutes):
6.5, \quad 8.1, \quad 8.8, \quad 4.6, \quad 5.8, \quad 13.4, \quad 16.2, \quad 20.4, \quad 13.5, \quad 9.1,
8.5, \quad 22.4, \quad 15.8, \quad 17.2, \quad 24.0, \quad 19.8, \quad 5.1, \quad 6.8, \quad 5.1, \quad 13.9,
18.0, \quad 22.5, \quad 7.2, \quad 9.0, \quad 12.8, \quad 16.3, \quad 17.2, \quad 4.2, \quad 5.9, \quad 6.1,
10.0, \quad 5.9, \quad 6.7, \quad 4.3, \quad 15.7, \quad 17.3, \quad 22.1, \quad 24.3, \quad 7.1, \quad 11.3,
12.5, \quad 5.6, \quad 7.6, \quad 10.8, \quad 9.0, \quad 5.6, \quad 21.0, \quad 18.5, \quad 13.1, \quad 8.2
Find a suitable class interval width.
Create a frequency table for this set of data. The class intervals must included the lower endpoint. Use 0 minute as the lower endpoint for the first class interval. Include a row for the total.
What percentage of parents took at least 15 minutes to answer the survey?
What percentage of parents took less than 10 minutes to answer the survey?
The mass of thirty apples, rounded to the nearest gram, from an orchard were measured and recorded below:
Mass (in grams)
86, \quad 91, \quad 96, \quad 100, \quad 105, \quad 110, \quad 116, \quad 102, \quad 106, \quad 111,
119, \quad 87, \quad 94, \quad 98, \quad 102, \quad 106, \quad 113, \quad 93, \quad 96, \quad 103,
106, \quad 114, \quad 108, \quad 99, \quad 104, \quad 109, \quad 95, \quad 103, \quad 101, \quad 104
State the mass of the smallest recorded apple.
State the mass of the largest recorded apple.
Find a suitable class interval width.
Create a frequency table for this set of data. The class intervals must included the lower endpoint. Use 85 \text{ g} as the lower endpoint for the first class interval. Include a row for the total.
The given histogram shows the number of hours that students in a particular class had slept for the night before:
Complete the frequency table below for this set of data.
How many students are in the class?
How many students had at least 8 hours of sleep that night?
How many students have less than 6 hours of sleep?
What percentage of students had less than 6 hours of sleep?
| Number of hours | Frequency |
|---|---|
| 0\leq t \lt 2 | |
| 2\leq t \lt 4 | |
| 4\leq t \lt 6 | |
| 6\leq t \lt 8 | |
| 8\leq t \lt 10 | |
| 10\leq t \lt 12 | |
| \text{Total:} |
The histogram below shows the speed of balls delivered by cricket bowlers:
Complete the following frequency table for this set of data.
How many balls were bowled at less than 130 \text{ km/h}?
What percentage of balls were bowled at less than 130 \text{ km/h}? Round your answer to one decimal place.
| Speed (km/h) | Frequency |
|---|---|
| 110\leq s \lt 120 | |
| 120\leq s \lt 130 | |
| 130\leq s \lt 140 | |
| 140\leq s \lt 150 | |
| 150\leq s \lt 160 | |
| \text{Total:} |
The histogram below shows the heights of 200 randomly selected rugby players:
Complete the following frequency table for this set of data.
If the average height of an Australian man is 175\text{ cm}:
What fraction of the rugby players sampled were shorter than average?
| Height (cm) | Frequency |
|---|---|
| 170\leq h \lt 175 | |
| 175\leq h \lt 180 | |
| 180\leq h \lt 185 | |
| 185\leq h \lt 190 | |
| 190\leq h \lt 195 | |
| 195\leq h \lt 200 | |
| 200\leq h \lt 205 |
The histogram below shows the heights of 60 tomato plants growing in a greenhouse:
Complete the folowing frequency table for this set of data.
How many tomato plants are in the most common category?
What percentage of the tomato plants are in the most common category? Round your answer to one decimal place.
| Height (cm) | Frequency |
|---|---|
| 95\leq h \lt 100 | |
| 100\leq h \lt 105 | |
| 105\leq h \lt 110 | |
| 110\leq h \lt 115 | |
| 115\leq h \lt 120 | |
| 120\leq h \lt 125 | |
| 125\leq h \lt 130 | |
| 130\leq h \lt 135 | |
| \text{Total:} |
A battery manufacturer tests their batteries in a portable music player, to find out how long the batteries last under constant use. The histogram below shows the data from their tests:
Create a frequency table for this set of data.
What percentage of batteries last longer than 10 hours? Round your answer to one decimal place.
If the average length of a song is 4 minutes, what percentage of batteries will last for an average of 250 songs or more? Round your answer to one decimal place.
Consider the histogram below, showing the length of the phone calls made by Pauline in a month:
Pauline's phone company charges phone calls as if they were at the upper boundary of the interval. For example, a phone call lasting 1 minute and 48 seconds would be charged as if it were a 2 minute call.
Create a frequency table for this set of data.
Find the total number of minutes for which Pauline will be charged for phone calls this month.
If Pauline receives 30 minutes of free calls per month, and is charged \$1.50 per minute afterwards, find her total spending for the month.
A group of year 11 students were surveyed on their height, and the results are shown in the given frequency table:
How many students were surveyed?
Construct a histogram to represent this data.
What percentage of the students were 165 \text{ cm} or taller?
| Height (cm) | Frequency |
|---|---|
| 135 \leq h < 145 | 4 |
| 145 \leq h < 155 | 12 |
| 155 \leq h < 165 | 13 |
| 165 \leq h < 175 | 8 |
| 175 \leq h < 185 | 2 |
| 185 \leq h < 195 | 1 |
The following frequency table shows the age distribution of teachers at Haunted Hills High:
Construct a histogram to represent this data.
What fraction of the teachers are between 30 and 40 years old?
| Age (years) | Frequency |
|---|---|
| 20 \leq a < 30 | 6 |
| 30 \leq a < 40 | 5 |
| 40 \leq a < 50 | 3 |
| 50 \leq a < 60 | 2 |
| 60 \leq a < 70 | 3 |
The length of time that consumers spent in a supermarket on a particular day is shown in the given frequency table:
Construct a histogram to represent this data.
How many shoppers visited the supermarket that day?
What percentage of the shoppers spent between 20 and 30 minutes at the supermarket? Round your answer to two decimal places.
| Time spent (mins) | Frequency |
|---|---|
| 0 \leq t < 10 | 35 |
| 10 \leq t < 20 | 75 |
| 20 \leq t < 30 | 110 |
| 30 \leq t < 40 | 60 |
| 40 \leq t < 50 | 45 |
| 50 \leq t < 60 | 15 |
| 60 \leq t < 70 | 5 |
What percentage of the shoppers spent an hour or longer at the supermarket? Round your answer to two decimal places.
The heights of 200 randomly chosen basketball players are shown in the following frequency table:
Find the value of A.
Construct a histogram to represent this data.
What percentage of players are 195 cm or taller? Round your answer to one decimal place.
| Height (cm) | Frequency |
|---|---|
| 180 \leq t < 185 | 11 |
| 185 \leq t < 190 | 13 |
| 190 \leq t < 195 | 25 |
| 195 \leq t < 200 | 36 |
| 200 \leq t < 205 | A |
| 205 \leq t < 210 | 46 |
| 210 \leq t < 215 | 29 |
The frequency table below shows the number of young people reported to have suffered from influenza over a period of one month:
Construct a histogram to represent this data.
How many people were reported to have suffered from the flu?
It is estimated that for every 15 reported cases, there is one case that goes unreported.
How many unreported cases would be predicted for the month shown in the table?
| Age (years) | Number of people |
|---|---|
| 0 \leq x < 5 | 120 |
| 5 \leq x < 10 | 200 |
| 10 \leq x < 15 | 70 |
| 15 \leq x < 20 | 50 |
| 20 \leq x < 25 | 30 |
| 25 \leq x < 30 | 10 |
Some people were asked approximately how many of their high school friends they remained in contact with after high school.
The results are presented in the given frequency distribution table:
Construct a histogram for the data.
Find the most common response.
| Score | Frequency |
|---|---|
| 0 \leq x \lt 10 | 7 |
| 10 \leq x \lt 20 | 10 |
| 20 \leq x \lt 30 | 7 |
| 30 \leq x \lt 40 | 1 |
| 40 \leq x \lt 50 | 2 |
Using the class centre, construct a histogram for the following set of test results, using class intervals of size ten.
24,\, 23,\, 7,\, 32,\, 56,\, 16,\, 14,\, 21,\, 28,\, 36,\, 34,\, 45,\, 43,\, 38The amount of snowfall (in centimetres) recorded at the base of the mountain each day is as follows:
5.2,\quad 2.1,\quad 2.4,\quad 0.9,\quad 2.7,\quad 1.1,\quad 3.3,\quad 6.4,\quad 2.1,\quad 1.1,\\ 3.5,\quad 0.7,\quad 1.1,\quad 5.4,\quad 6.7,\quad 6.1,\quad 2.6,\quad 3.4,\quad 6.7,\quad 4.1
Construct a histogram to display the data, using class intervals of 1 \text{ cm}.
On how many days did between 4 and 5 \text{ cm} of snow fall?
On how many days did at least 3 \text{ cm} of snow fall?
A P.E. teacher asks her students how many hours they spent playing sports in the past month. The responses are listed below:
Time (in hours):
11,\quad 14,\quad 4,\quad 6,\quad 12,\quad 9,\quad 11,\quad 9,\quad 16,\quad 3,\quad 13,\quad 23,\quad 13,\quad 10,\quad 10,\quad \\ 11,\quad 20,\quad 11,\quad 15,\quad 14,\quad 13,\quad 18,\quad 8,\quad 16,\quad 11,\quad 12, \quad 12, \quad 16, \quad 9, \quad 12
Create a frequency table for this set of data, using class intervals of 4 hours.
Construct a histogram to represent this data.
How many students are in this P.E. class?
What percentage of students played sports for less than 8 hours?
The manager of a supermarket is interested in the distance that her employees travel to work each day. As part of a survey, each of the 50 employees provides the distance they travel to work in kilometres. These distances are shown below:
Distance of travel (in km):
1,\quad 2,\quad 6,\quad 7,\quad 12,\quad 13,\quad 2,\quad 6,\quad 9,\quad 5,\quad 16,\quad 3,\quad 13,
16,\quad 4,\quad 15,\quad 1,\quad 14,\quad 5,\quad 4,\quad 4,\quad 16,\quad 4,\quad 5,\quad 8,\quad
6,\quad 5,\quad 17,\quad 5,\quad 2,\quad 9,\quad 11,\quad 12,\quad 1,\quad 9,\quad 2,\quad 10,\quad 11,\quad
4,\quad 10, \quad 9,\quad 17,\quad 8,\quad 8,\quad 4,\quad 14,\quad 7,\quad 3,\quad 2,\quad 6
Create a frequency table for this set of data, using class intervals of 3 \text{ km}.
Construct a histogram to represent this data.
What percentage of employees live within 6 \text{ km} of the supermarket?
What percentage of employees travel 12 \text{ km} or more to get to work?
The daily maximum temperatures (in \degree \text{C}) in Adelaide for the month of April are listed below:
22.5,\quad 28.2,\quad 26.5,\quad 33.5,\quad 33.0,\quad 22.3,\quad 23.9,\quad 23.8,\quad 18.9,\quad 19.5
22.3,\quad 25.3,\quad 22.7,\quad 28.7,\quad 29.2,\quad 33.9,\quad 26.7,\quad 23.5,\quad 33.9,\quad 32.4
20.5,\quad 20.6,\quad 22.4,\quad 20.9,\quad 22.4,\quad 18.4,\quad 19.0,\quad 19.1,\quad 24.5,\quad 25.2
Create a frequency table for this set of data using class interval of 3 \degree \text{C}.
Construct a histogram to represent this data.
On how many days did the temperature reach at least 30 \degree \text{C}?
For what percentage of the days in April was the temperature below 24 \degree \text{C}? Round your answer to one decimal place.