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

Circle the best answer.
Zee reads a histogram of corn heights from a second field. What is the range of the heights shown?
- 60 cm
- 70 cm
- 27 plants
- 170 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
- 170 cm
- 5 plants
- 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?
- 2 classes, since more genes fold the classes together
- 9 classes
- 6 classes, since each gene adds one class
- 3 classes, since one gene sets the trait
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?
- 1/64
- 1/4, since one gene sets the extreme class
- 3/4
- 1/16, the chance for 2 genes
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
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 - 20 offspring
- 5 offspring, one box like the ends
- 100 offspring
- 75 offspring
Chance of two light alleles in each gene (model data)
gene chance of two light alleles A 1/4 B 1/4 Tala grows 800 model offspring from AaBb × AaBb. About how many are expected to have no dark alleles?
- 200 offspring
- 100 offspring
- 50 offspring
- 400 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?
- Chance alone, since any two plots differ
- Rich soil changed the alleles in the seeds, so the plants grew taller
- The rich-soil seeds carry different alleles, since genes alone set height
- The soil shifted growth up, and the seeds carry the same alleles
Kira compares the middle of each bell in the table. By how many cm did rich soil shift the middle?
- 80 cm
- 180 cm
- 20 cm
- 40 cm
Bo grows the same seed lot in a third plot with poor soil. What does the table predict for that plot?
- Any center, since soil has no effect on height
- A bell centered near 180 cm, since rich soil changed the lot's alleles
- Two clear groups, one near 120 cm and one near 200 cm
- A bell centered near 160 cm, like the first poor-soil plot