Tutorpip← About this lessonABCWith the answer keyDownload PDF
Maths · Grade 6 · Set B
How Spread Out? Set B
Scan to mark
on screen
B
Name
Date
Start Finish
Goal: 15 min
Score/ 11
Remember: The range is the biggest less the smallest. The box holds the middle half, and the IQR is Q3 less Q1.

Range and quartiles

1
The range is the biggest number less the smallest. What is the range of this data?
2
The dot plots show two sets of data. Which set is more spread out?
The top setThe bottom set
3
These five numbers describe a data set. What is the interquartile range (IQR)?
4
Set N has the larger IQR.
TrueFalse
5
Cut the list at the median. The median stays out of both halves. What is the first quartile, Q1, of this data?

Five numbers and spread around the mean

6
Which are the five numbers (smallest, Q1, median, Q3, biggest) for this data?
2, 3, 6, 8, 102, 3, 5, 6, 103, 3, 5, 8, 102, 3, 5, 8, 10
7
Join each word to what it tells you.
  1. 1first quartile, Q1
  2. 2third quartile, Q3
  3. 3range
  4. 4IQR
  • Ahow wide the middle half is
  • Bhow far it is from smallest to biggest
  • Cthe middle of the lower half
  • Dthe middle of the upper half
8
The mean of this data is 5. Find how far each dot is from 5, then average those distances. What is the mean absolute deviation (MAD)?
9
Number the steps to find the range of 9, 4, 12 and 7.
  • Subtract: 12 − 4
  • Find the biggest number, 12
  • Find the smallest number, 4
  • Write the range, 8

Stretch

10
A data set has range 15. Its smallest number is 8, as marked. What is its biggest number?
11
The IQR of a data set can be bigger than its range.
TrueFalse
12
Write one thing the dot plot tells you about how spread out the data is. Use the words smallest and biggest.
Scan the code at the top to mark this sheet on screenTake a photo of your answers or type them. It is marked for you automatically, and your score is kept.