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Data Organization and Frequency
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Data Organization and Frequency
Organise and interpret data using frequency tables. Show your calculations where needed.
Understanding frequency
1.A class records each response to a survey. What is the main benefit of arranging the responses in a frequency table?
- It makes the original responses more accurate.
- It summarises how often each response occurs.
- It guarantees that every response is different.
- It increases the number of people surveyed.
2.In a set of numerical data, which term names the value that occurs most often?
- Range
- Median
- Mode
- Frequency
3.A frequency table records the number of pets owned by a group: 0 pets—5 people; 1 pet—11 people; 2 pets—14 people; 3 pets—7 people; 4 pets—3 people. What is the mode number of pets?
Making frequency tables
4.A group of 20 students chose a preferred lunch option. Their responses were: sushi, wrap, salad, sushi, soup, wrap, sushi, salad, wrap, sushi, soup, wrap, sushi, salad, sushi, soup, wrap, sushi, salad, wrap. Complete the frequency table, including tally marks and the total.
Lunch option
Tally
Frequency
Sushi
Wrap
Salad
Soup
Total
5.Using the lunch-option responses above, state which option was chosen most often and how many students chose it.
6.The maximum daily rainfall, in millimetres, over 14 days was: 4, 6, 5, 7, 4, 8, 6, 5, 4, 7, 6, 5, 9, 4. Find the frequency of each rainfall amount from 4 mm to 9 mm.
Rainfall (mm)
Frequency
4
5
6
7
8
9
Relative frequency and interpretation
7.A survey of 40 students recorded their usual travel time to school: 0–10 minutes, 6 students; 11–20 minutes, 14 students; 21–30 minutes, 12 students; more than 30 minutes, 8 students. Calculate the relative frequency, as a percentage, for each travel-time group.
Travel time
Relative frequency (%)
0–10 minutes
11–20 minutes
21–30 minutes
More than 30 minutes
8.From the travel-time survey above, identify the most common travel-time group and describe what the percentages indicate about the surveyed students.
9.Give one practical situation in which someone might use a frequency table, and explain what information the table could organise.
3 printable pages
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