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Patterns and Data Worksheet
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Patterns and Data Worksheet
A class in Aotearoa New Zealand asked 12 students how many minutes they walked to school on Tuesday. Use the data to investigate what the class’s travel times show. Show your working where needed.
Student
Minutes
Student
Minutes
A
5
G
12
B
10
H
8
C
15
I
10
D
0
J
20
E
12
K
5
F
8
L
15
Explore the data
Read the walking-time data carefully. Each number is one student’s time in minutes.
1.Multiple choice: How many students are included in the survey? A) 10 B) 12 C) 15 D) 20
- A) 10
- B) 12
- C) 15
- D) 20
2.Short answer: What is the greatest walking time in the data, and which student recorded it?
3.Fill in the blank: The range is the greatest value minus the least value. The range of the walking times is minutes.
4.True or false: Exactly two students walked for 5 minutes.
TrueFalse
5.Short answer: Put the 12 times in order from least to greatest. Then find the median, the middle value for this even-sized set.
6.Short answer: Find the mean walking time. Add all 12 times, then divide by 12.
7.Short answer: Which walking time occurs most often? How many students recorded that time?
8.Long answer: Make a frequency table for the times 0, 5, 8, 10, 12, 15 and 20 minutes. Include the number of students for each time and check that your frequencies add to 12.
9.Long answer: Use your frequency table to plan a bar graph. State a suitable title, the labels for both axes, and the height of each bar.
10.Long answer: A student says, “Everyone in the class walks for about 10 minutes, so there is no need to look at the other data.” Use two statistics or details from the survey to explain one thing this statement gets right and one thing it misses.
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