Histograms

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, where the data is divided into intervals (bins) and the frequency of data points in each interval is represented by the height of the bars.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you determine the mode from a histogram?

Back

The mode is the interval with the highest bar in the histogram, indicating the range where the most data points fall.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the height of a bar in a histogram represent?

Back

The height of a bar in a histogram represents the frequency or count of data points that fall within the corresponding interval (bin).

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How can you identify trends in data using a histogram?

Back

Trends can be identified by observing the shape of the histogram, such as whether it is skewed, uniform, or has multiple peaks (bimodal or multimodal).

Tags

CCSS.6.SP.B.5C

CCSS.HSS.ID.A.3

Front

What is the difference between a histogram and a bar chart?

Back

A histogram is used for continuous data and shows the frequency distribution, while a bar chart is used for categorical data and represents individual categories.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you calculate the percentage of a specific group in a histogram?

Back

To calculate the percentage of a specific group, divide the frequency of that group by the total frequency and multiply by 100.

Tags

CCSS.7.SP.A.2

Front

What is the significance of the bin width in a histogram?

Back

The bin width affects the granularity of the data representation; too wide may obscure details, while too narrow may create noise.

Tags

CCSS.HSN.Q.A.1

Front

What does it mean if a histogram is skewed to the right?

Back

A right-skewed histogram indicates that the majority of data points are concentrated on the left side, with a few higher values extending to the right.

Front

How can you use a histogram to compare two different data sets?

Back

You can overlay two histograms on the same axes or place them side by side to visually compare their distributions and identify differences.

Front

What is cumulative frequency in the context of histograms?

Back

Cumulative frequency is the running total of frequencies up to a certain point in the histogram, showing how many data points fall below a particular value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1