Center, spread and shape of data
Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Jun made a dot plot of the number of stairs in the homes of some children. One dot is far from all the others. What is the range of the data without that dot?
Kira plotted the number of marbles in some jars. One jar was packed to the lid. One dot is far from all the others. What is the range of the data without that dot?
Dot plot of the number of marbles in some jars. Number line from 0 to 18, a tick at every whole number. Dots, left to right: 3 ●, 4 ●●, 5 ●●●, 6 ●, 7 ●●, 8 ●, 9 ●, 17 ●. Dot plot of the number of marbles in some jars. Number line from 0 to 18, a tick at every whole number. Dots, left to right: 3 ●, 4 ●●, 5 ●●●, 6 ●, 7 ●●, 8 ●, 9 ●, 17 ●. The number of marbles in some jars 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Noah plotted the number of cartwheels that some children did in one minute. One child got dizzy. One dot is far from all the others. What is the range of the data without that dot?
Dot plot of the number of cartwheels that some children did in one minute. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 3 ●, 12 ●, 13 ●●, 14 ●●, 15 ●, 17 ●●, 19 ●. Dot plot of the number of cartwheels that some children did in one minute. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 3 ●, 12 ●, 13 ●●, 14 ●●, 15 ●, 17 ●●, 19 ●. The number of cartwheels that some children did in one minute 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Pia plotted the number of leaves collected by some children. One leaf collector went wild. One dot is far from all the others. What value is the peak, the value with the most dots?
Dot plot of the number of leaves collected by some children. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 5 ●, 6 ●●, 7 ●●●●, 8 ●●, 9 ●, 10 ●, 18 ●. Dot plot of the number of leaves collected by some children. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 5 ●, 6 ●●, 7 ●●●●, 8 ●●, 9 ●, 10 ●, 18 ●. The number of leaves collected by some children 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Bo made a dot plot of the number of minutes that some children practiced piano. A few children played with a metronome. How many dots are there in all?
Dot plot of the number of minutes that some children practiced piano. Number line from 0 to 16, a tick at every whole number. Dots, left to right: 5 ●●, 6 ●●●, 8 ●, 12 ●●, 13 ●●●, 14 ●, 15 ●. Dot plot of the number of minutes that some children practiced piano. Number line from 0 to 16, a tick at every whole number. Dots, left to right: 5 ●●, 6 ●●●, 8 ●, 12 ●●, 13 ●●●, 14 ●, 15 ●. The number of minutes that some children practiced piano 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Jun made a dot plot of the number of chapters in the books some children are reading. Some chapters end on cliffhangers. How many dots are there in all?
Dot plot of the number of chapters in the books some children are reading. Number line from 0 to 18, a tick at every whole number. Dots, left to right: 4 ●, 5 ●●, 6 ●, 10 ●●, 11 ●●●, 12 ●, 17 ●. Dot plot of the number of chapters in the books some children are reading. Number line from 0 to 18, a tick at every whole number. Dots, left to right: 4 ●, 5 ●●, 6 ●, 10 ●●, 11 ●●●, 12 ●, 17 ●. The number of chapters in the books some children are reading 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Esme plotted the number of bottle caps in some jars. One jar overflowed. The median is the middle dot, and the mean is the balance point of the dots. Which statement is true?
Dot plot of the number of bottle caps in some jars. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 5 ●, 6 ●●, 7 ●●●, 8 ●●, 9 ●, 19 ●. Dot plot of the number of bottle caps in some jars. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 5 ●, 6 ●●, 7 ●●●, 8 ●●, 9 ●, 19 ●. The number of bottle caps in some jars 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 - The mean is always the better typical value, because it uses every dot, even a far-away one
- The far-away dot pulls the mean toward it, so the median is the better typical value.
- The biggest value is the best number to tell what is typical.
Jun plotted the number of minutes that some children waited for the bus. The median is the middle dot, and the mean is the balance point of the dots. Which statement is true?
Dot plot of the number of minutes that some children waited for the bus. Number line from 0 to 14, a tick at every whole number. Dots, left to right: 2 ●, 8 ●, 9 ●●, 10 ●●●, 11 ●●. Dot plot of the number of minutes that some children waited for the bus. Number line from 0 to 14, a tick at every whole number. Dots, left to right: 2 ●, 8 ●, 9 ●●, 10 ●●●, 11 ●●. The number of minutes that some children waited for the bus 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 - The far-away dot pulls the mean toward it, so the median is the better typical value.
- The biggest value is the best number to tell what is typical.
- The mean is always the better typical value, because it uses every dot, even one far from the rest
Kira plotted the number of pages in some picture books. One book was huge. The median is the middle dot, and the mean is the balance point of the dots. Which statement is true?
Dot plot of the number of pages in some picture books. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 10 ●, 11 ●●, 12 ●●●, 13 ●, 14 ●, 20 ●. Dot plot of the number of pages in some picture books. Number line from 0 to 20, a tick at every whole number. Dots, left to right: 10 ●, 11 ●●, 12 ●●●, 13 ●, 14 ●, 20 ●. The number of pages in some picture books 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 - The far-away dot pulls the mean toward it, so the median is the better typical value.
- The biggest value is the best number to tell what is typical.
- The mean is always the better typical value, because it uses every dot, including a far-away one
Luz plotted the number of seeds in some packets. One packet was almost empty. The median is the middle dot, and the mean is the balance point of the dots. Which statement is true?
Dot plot of the number of seeds in some packets. Number line from 0 to 18, a tick at every whole number. Dots, left to right: 1 ●, 8 ●, 9 ●●, 10 ●●, 11 ●●, 12 ●. Dot plot of the number of seeds in some packets. Number line from 0 to 18, a tick at every whole number. Dots, left to right: 1 ●, 8 ●, 9 ●●, 10 ●●, 11 ●●, 12 ●. The number of seeds in some packets 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 - The mean is always the better typical value, because it uses every dot.
- The far-away dot pulls the mean toward it, so the median is the better typical value.
- The biggest value is the best number to tell what is typical.

