Average worksheet

1. Mean (average): 16.67

1. Add up all 6 values

   $12+16+18+14+20+20$$=100$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{100}{6}$$=16.666667$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $12\text{,}14\text{,}16\text{,}18\text{,}20\text{,}20$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{16+18}{2}$$=17$

5. Mode: the value that appears most often (2 times)

   $\mathrm{mode}\text{=}\text{20}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=20-12$$=8$

2. Mean (average): 18.17

1. Add up all 6 values

   $12+15+15+18+22+27$$=109$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{109}{6}$$=18.166667$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $12\text{,}15\text{,}15\text{,}18\text{,}22\text{,}27$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{15+18}{2}$$=16.5$

5. Mode: the value that appears most often (2 times)

   $\mathrm{mode}\text{=}\text{15}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=27-12$$=15$

3. Mean (average): 18

1. Add up all 6 values

   $12+14+18+15+22+27$$=108$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{108}{6}$$=18$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $12\text{,}14\text{,}15\text{,}18\text{,}22\text{,}27$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{15+18}{2}$$=16.5$

5. Mode: every value appears exactly once, so there is no mode

   $\mathrm{mode}\text{=}\text{None (no repeated values)}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=27-12$$=15$

4. Mean (average): 20.5

1. Add up all 6 values

   $14+20+13+24+25+27$$=123$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{123}{6}$$=20.5$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $13\text{,}14\text{,}20\text{,}24\text{,}25\text{,}27$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{20+24}{2}$$=22$

5. Mode: every value appears exactly once, so there is no mode

   $\mathrm{mode}\text{=}\text{None (no repeated values)}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=27-13$$=14$

5. Mean (average): 16.5

1. Add up all 6 values

   $12+16+14+18+13+26$$=99$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{99}{6}$$=16.5$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $12\text{,}13\text{,}14\text{,}16\text{,}18\text{,}26$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{14+16}{2}$$=15$

5. Mode: every value appears exactly once, so there is no mode

   $\mathrm{mode}\text{=}\text{None (no repeated values)}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=26-12$$=14$

6. Mean (average): 17.83

1. Add up all 6 values

   $11+17+14+16+25+24$$=107$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{107}{6}$$=17.833333$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $11\text{,}14\text{,}16\text{,}17\text{,}24\text{,}25$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{16+17}{2}$$=16.5$

5. Mode: every value appears exactly once, so there is no mode

   $\mathrm{mode}\text{=}\text{None (no repeated values)}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=25-11$$=14$

7. Mean (average): 17.5

1. Add up all 6 values

   $16+12+19+12+16+30$$=105$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{105}{6}$$=17.5$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $12\text{,}12\text{,}16\text{,}16\text{,}19\text{,}30$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{16+16}{2}$$=16$

5. Mode: these values tie for appearing most often (2 times each)

   $\mathrm{mode}\text{=}\text{12, 16}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=30-12$$=18$

8. Mean (average): 17.5

1. Add up all 6 values

   $11+13+13+20+22+26$$=105$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{105}{6}$$=17.5$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $11\text{,}13\text{,}13\text{,}20\text{,}22\text{,}26$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{13+20}{2}$$=16.5$

5. Mode: the value that appears most often (2 times)

   $\mathrm{mode}\text{=}\text{13}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=26-11$$=15$

9. Mean (average): 18

1. Add up all 6 values

   $13+15+12+18+26+24$$=108$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{108}{6}$$=18$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $12\text{,}13\text{,}15\text{,}18\text{,}24\text{,}26$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{15+18}{2}$$=16.5$

5. Mode: every value appears exactly once, so there is no mode

   $\mathrm{mode}\text{=}\text{None (no repeated values)}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=26-12$$=14$

10. Mean (average): 18.33

1. Add up all 6 values

   $11+14+13+13+24+35$$=110$

2. Mean: divide the sum by how many values there are, which shares the total out evenly

   $\mathrm{mean}$$=\frac{110}{6}$$=18.333333$

3. Sort the values from smallest to largest, which makes the median, mode and range easy to spot

   $11\text{,}13\text{,}13\text{,}14\text{,}24\text{,}35$

4. Median: with an even count (6), there's no single middle value. So average the two middle ones, number 3 and number 4 in the sorted list

   $\mathrm{median}$$=\frac{13+14}{2}$$=13.5$

5. Mode: the value that appears most often (2 times)

   $\mathrm{mode}\text{=}\text{13}$

6. Range: subtract the smallest value from the largest to see how spread out the values are

   $\mathrm{range}$$=35-11$$=24$