Traits controlled by many genes, and their bell-shaped spread
Grade 9 Science Worksheet

Circle the best answer.
Luz reads a histogram of corn plant heights. What is the mode, the height with the most plants?
- 180 cm
- 28 plants
- 60 cm
- 150 cm, the shortest class
Zee reads a histogram of corn heights from a second field. What is the range of the heights shown?
Corn plant height in a second field, 100 plants rounded to the nearest 10 cm (model data). Comparison chart, columns: Height (cm) | Plants. Row 1: 140 | 2. Row 2: 150 | 6. Row 3: 160 | 17. Row 4: 170 | 27. Row 5: 180 | 25. Row 6: 190 | 14. Row 7: 200 | 7. Row 8: 210 | 2. Bar graph: x axis Height (cm); y axis Plants, ticks every 5 from 0 to 30. Bars: 140 2; 150 6; 160 17; 170 27; 180 25; 190 14; 200 7; 210 2. Corn plant height in a second field, 100 plants rounded to the nearest 10 cm (model data). Comparison chart, columns: Height (cm) | Plants. Row 1: 140 | 2. Row 2: 150 | 6. Row 3: 160 | 17. Row 4: 170 | 27. Row 5: 180 | 25. Row 6: 190 | 14. Row 7: 200 | 7. Row 8: 210 | 2. Bar graph: x axis Height (cm); y axis Plants, ticks every 5 from 0 to 30. Bars: 140 2; 150 6; 160 17; 170 27; 180 25; 190 14; 200 7; 210 2. Comparison chart Corn plant height in a second field, 100 plants rounded to the nearest 10 cm (model data). Height (cm) Plants Row 1: 140 2 Row 2: 150 6 Row 3: 160 17 Row 4: 170 27 Row 5: 180 25 Row 6: 190 14 Row 7: 200 7 Row 8: 210 2 Bar graph 0 5 10 15 20 25 30 2 140 6 150 17 160 27 170 25 180 14 190 7 200 2 210 Height (cm) Plants - 27 plants
- 170 cm
- 70 cm
- 60 cm
Ari reads a small histogram of corn heights. What is the mean height of the 10 plants, using the class heights?
Corn plant height, 10 plants rounded to the nearest 10 cm (model data). Comparison chart, columns: Height (cm) | Plants. Row 1: 160 | 2. Row 2: 170 | 5. Row 3: 180 | 2. Row 4: 190 | 1. Bar graph: x axis Height (cm); y axis Plants, ticks every 1 from 0 to 6. Bars: 160 2; 170 5; 180 2; 190 1. Corn plant height, 10 plants rounded to the nearest 10 cm (model data). Comparison chart, columns: Height (cm) | Plants. Row 1: 160 | 2. Row 2: 170 | 5. Row 3: 180 | 2. Row 4: 190 | 1. Bar graph: x axis Height (cm); y axis Plants, ticks every 1 from 0 to 6. Bars: 160 2; 170 5; 180 2; 190 1. Comparison chart Corn plant height, 10 plants rounded to the nearest 10 cm (model data). Height (cm) Plants Row 1: 160 2 Row 2: 170 5 Row 3: 180 2 Row 4: 190 1 Bar graph 0 1 2 3 4 5 6 2 160 5 170 2 180 1 190 Height (cm) Plants - 172 cm
- 5 plants
- 170 cm
- 175 cm
Read this first
Classes for a trait with additive alleles (model data)
genes dark alleles possible classes 1 0 to 2 3 2 0 to 4 5 3 0 to 6 7 4 ? ? Ren reads a table for traits with additive alleles. How many classes would a trait with 4 genes have?
- 9 classes
- 6 classes, since each gene adds one class
- 3 classes, since one gene sets the trait
- 2 classes, since more genes fold the classes together
Chance of two light alleles in a cross with 3 genes (model data)
gene chance of two light alleles A 1/4 B 1/4 C 1/4 Esme crosses model wheat that is AaBbCc with a second plant that is AaBbCc. What is the chance an offspring has no dark alleles?
- 1/16, the chance for 2 genes
- 1/64
- 1/4, since one gene sets the extreme class
- 3/4
Counts for traits with 1, 2 and 3 genes (model data)
genes counts by dark alleles classes 1 1, 2, 1 3 2 1, 4, 6, 4, 1 5 3 1, 6, 15, 20, 15, 6, 1 7 Milo compares the count rows for traits with 1, 2 and 3 genes. Which trait has the smoothest bell shape, and why?
- The 3-gene trait, since 7 small steps make the finest bell
- The 1-gene trait, since fewer genes give a smoother bell
- The 2-gene trait, since 5 classes are fine enough
- The three look alike, since each peaks in the middle
Pia grows 160 model offspring from AaBb × AaBb. About how many are expected to have exactly 2 dark alleles?
Counts for AaBb × AaBb, 16 equally likely offspring (model data). Columns: dark alleles | boxes of 16. Row 1: 0 | 1. Row 2: 1 | 4. Row 3: 2 | 6. Row 4: 3 | 4. Row 5: 4 | 1. Counts for AaBb × AaBb, 16 equally likely offspring (model data). Columns: dark alleles | boxes of 16. Row 1: 0 | 1. Row 2: 1 | 4. Row 3: 2 | 6. Row 4: 3 | 4. Row 5: 4 | 1. Counts for AaBb × AaBb, 16 equally likely offspring (model data). dark alleles boxes of 16 Row 1: 0 1 Row 2: 1 4 Row 3: 2 6 Row 4: 3 4 Row 5: 4 1 - 90 offspring
- 60 offspring
- 6 offspring
- 40 offspring
Jun grows 320 model offspring from AaBbCc × AaBbCc. About how many are expected to have exactly 3 dark alleles?
Counts for AaBbCc × AaBbCc, 64 equally likely offspring (model data). Columns: dark alleles | boxes of 64. Row 1: 0 | 1. Row 2: 1 | 6. Row 3: 2 | 15. Row 4: 3 | 20. Row 5: 4 | 15. Row 6: 5 | 6. Row 7: 6 | 1. Counts for AaBbCc × AaBbCc, 64 equally likely offspring (model data). Columns: dark alleles | boxes of 64. Row 1: 0 | 1. Row 2: 1 | 6. Row 3: 2 | 15. Row 4: 3 | 20. Row 5: 4 | 15. Row 6: 5 | 6. Row 7: 6 | 1. AaBbCc × AaBbCc, 64 equally likely offspring (model data) dark alleles boxes of 64 0 1 1 6 2 15 3 20 4 15 5 6 6 1 7 rows - 75 offspring
- 5 offspring, one box like the ends
- 100 offspring
- 20 offspring
Corn plant height from one seed lot, 100 plants in each soil, rounded to the nearest 20 cm (model data)
Height (cm) Poor soil (plants) Rich soil (plants) 120 6 0 140 24 6 160 40 24 180 24 40 200 6 24 220 0 6 Noah grows one corn seed lot in two plots, one with poor soil and one with rich soil. What best explains the taller plants in rich soil?
- The rich-soil seeds carry different alleles, since genes alone set height
- Rich soil changed the alleles in the seeds, so the plants grew taller
- The soil shifted growth up, and the seeds carry the same alleles
- Chance alone, since any two plots differ
Kira compares the middle of each bell in the table. By how many cm did rich soil shift the middle?
- 20 cm
- 40 cm
- 80 cm
- 180 cm