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## SAT (Fall 2023)

### Course: SAT (Fall 2023) > Unit 6

Lesson 5: Problem Solving and Data Analysis: lessons by skill- Ratios, rates, and proportions | Lesson
- Percents | Lesson
- Units | Lesson
- Table data | Lesson
- Scatterplots | Lesson
- Key features of graphs | Lesson
- Linear and exponential growth | Lesson
- Data inferences | Lesson
- Center, spread, and shape of distributions | Lesson
- Data collection and conclusions | Lesson

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# Key features of graphs | Lesson

## What are key features of graphs problems, and how frequently do they appear on the test?

Key features of graphs problems ask us to interpret graphs or create graphs based on given information.

The two most common graph types on the SAT are

**bar graphs**and**line graphs**.In this lesson, we'll learn to:

- Read types of graphs that commonly appear on the SAT
- Create line graphs based on verbal descriptions

On your official SAT, you'll likely see

**2 to 3 questions**that test your ability to identify and use key features of graphs.**You can learn anything. Let's do this!**

## How do I read bar graphs, dot plots, and histograms?

**Note:**Bar graphs appear more frequently than dot plots and histograms do on the SAT.

### Reading bar graphs

### What are bar graphs, dot plots, and histograms?

#### Bar graphs

On a bar graph, the sizes of the bars are related to the size of the quantities: the larger a quantity is, the taller or longer the bar representing it is.

#### Dot plots

Dot plots use dots to represent the frequency with which particular values occur. Dot plots are usually used for low, easily countable frequencies because it's impractical to draw or count many dots.

#### Histograms

Histograms use bars to represent the frequency at which

*a range of values*occurs. Histograms are useful because it's often impractical to list every possible value independently.### Try it!

## How do I read line graphs?

### Reading line graphs

### What are line graphs?

Line graphs usually show how quantities change over time.

The SAT will most often ask us to do the following:

- Identify values on the graph and use them in calculations
- Determine whether the graph is increasing or decreasing. We may be asked about a specific interval or the whole graph.
- Determine when the rate of change is the highest/lowest. Higher rates of change correspond to steeper sections of the graph, and lower rates of change correspond to shallower sections of the graph.

### Try it!

## How do I draw line graphs based on verbal descriptions?

### Translating a sequence of events to a line graph

On the SAT, in addition to reading line graphs, we may be asked to select a line graph that represents a given scenario.

These questions tend to be about the correct order of events and the general direction of change. The axes of the graphs are often presented without exact values.

#### What are some key phrases to look out for?

The table below lists some common key phrases in line graph translation problems and how to interpret them.

Phrase | Shape of graph |
---|---|

"Increases", "rises", "grows" | Upward trend |

"Decreases", "drops", "declines" | Downward trend |

"Remains constant", "stops", "stays the same" | Flat trend |

"Slowly", "gradually" | Shallow slope |

"Rapidly", "quickly" | Steep slope |

#### Let's look at an example!

Francisco drives from home to a drive-in movie theater. He parks his car to watch a movie, then drives straight home. Draw a graph that represents Francisco's distance from home as time elapses.

### Try it!

## Your turn!

## Want to join the conversation?

- which lesson teaches us the best method to calculate average in a class type of questions

eg - best method to calculate the seniors and freshmen like chocolate is by randomly selecting 100 students or at lunch time asking 100 students ....(8 votes) - Is the difference between histograms ad bar graphs just how they hold information? you would still read them the same way though?(3 votes)
- Yup, for the purposes of the SAT you can treat histograms and bar graphs as basically the same; histograms just show a distribution of ranges of data and bar graphs show individual data points themselves. The difference is that histograms usually show quantitative data (numbers) while bar graphs are for categorial data (foods, skin colors, etc).(4 votes)

- Why is it always that, what you guys teaches here is different from what we encounter at the practice section, huh??(0 votes)
- Is that true are these skills not useful?(4 votes)