S.ID.4
(9/10) Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
Example Problems
The frequency table shows how many cups of coffee employees drank at work:
Which number of cups was least common?
| Cups of Coffee | Number of Employees |
|---|---|
| 0 | 2 |
| 1 | 6 |
| 2 | 4 |
| 3 | 2 |
| 4 | 1 |
Which number of cups was least common?
The frequency table shows the number of hours students practiced piano:
How many students practiced at least 2 hours?
| Practice Hours | Number of Students |
|---|---|
| 0 | 4 |
| 1 | 3 |
| 2 | 5 |
| 3 | 2 |
| 4 | 1 |
How many students practiced at least 2 hours?
The frequency table shows the number of miles each runner completed during training:
How many runners ran fewer than 6 miles?
| Miles Run | Number of Runners |
|---|---|
| 2 | 1 |
| 4 | 3 |
| 6 | 4 |
| 8 | 2 |
| 10 | 1 |
How many runners ran fewer than 6 miles?
Khan Academy ResourcesConditional distributions and relationshipsCreate two-way frequency tablesInterpret two-way tablesRead two-way frequency tablesConditional distributionsIdentify marginal and conditional distributionsMarginal distributionsAnalyze two-way frequency tablesTwo-way frequency tables and Venn diagramsMarginal and conditional distributionsInterpreting two-way tablesTwo-way relative frequency tables

1-on-1 AI tutoring aligned to S.ID.4. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →