cumulative sum of

USAGE SUMMARY

The phrase "cumulative sum of" is correct and usable in written English.
It can be used in mathematical or statistical contexts to refer to the total amount that accumulates over time or through a series of additions. Example: "To analyze the data effectively, we need to calculate the cumulative sum of the sales figures for each quarter."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Overall, during that stretch, New York outspent the cumulative sum of each year's second-highest-payroll team by $595,360,493.

The New Yorker

It made less than two billion dollars when it could have made more than three billion dollars; that billion-dollar gap amounts to more than the cumulative sum of all the revenue it has ever earned.

The New Yorker

Cumulative sum of ( d ).

Journal of Industrial Engineering International

Fig. 7 Cumulative sum of squared differences.

Advanced Structural and Chemical Imaging

The cumulative sum of −0.9 was also statistically obtained as shown in Fig. 8.

Applied Water Science

This implementation involves calculation (in parallel) of a cumulative sum of the number of copies.

EURASIP Journal on Advances in Signal Processing

The release profile was derived based on the cumulative sum of released amounts at specific times.

Nanoscale Research Letters

This test is well known as cumulative (CUSUM) and cumulative sum of squares (CUSUMSQ).

Journal of Economic Structures

This figure depicts the cumulative sum of BS transitions for different α sw values.

EURASIP Journal on Wireless Communications and Networking

The estimates shown are the cumulative sum of these, beginning at a lead of 12 quarters.

IZA Journal of Labor Policy

To ascertain the goodness of fit of the ARDL model, the stability test is conducted by employing the cumulative sum of recursive residuals (CUSUM) and the cumulative sum of squares of recursive residuals (CUSUMsq).

Energy, Sustainability and Society

Expert writing Tips

Best practice

When using "cumulative sum of", ensure the context clearly indicates what is being summed and over what period or set of items. This clarifies the meaning and enhances understanding.

Common error

Avoid assuming the reader understands the scope of the summation. Clearly define what elements are included in the "cumulative sum of" to prevent misinterpretations and ensure accurate data analysis.

Linguistic Context

The phrase "cumulative sum of" functions as a noun phrase, often used in mathematical, statistical, and financial contexts. It refers to the accumulated total resulting from adding values sequentially. As Ludwig AI points out, this phrase adheres to standard grammar rules and is widely used.

Expression frequency: Very common

Frequent in

Science

67%

News & Media

16%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "cumulative sum of" is a grammatically sound and frequently used term, particularly in scientific, news, and business contexts. According to Ludwig AI, it accurately describes the total amount accumulated over time or through successive additions. Understanding its primary contexts, authoritative sources, and potential alternatives, such as ""total accumulation of"" or "aggregate total of", enhances effective communication and data analysis. When using this phrase, clarity is key: explicitly define what's being summed to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

total accumulation of

Emphasizes the overall gathering of something over time.

aggregate total of

Highlights the combined total from various sources.

running total of

Focuses on the ongoing calculation of a total.

accumulated total of

Stresses that the total has been built up gradually.

overall summation of

Highlights the complete process of adding things together.

combined aggregate of

Implies a merging of separate aggregates.

progressive summation of

Focuses on the step-by-step process of summing.

successive addition of

Emphasizes the incremental nature of the adding process.

total increment of

Highlights the increase in quantity over time.

overall tally of

Implies a final count or reckoning.

FAQs

How is "cumulative sum of" used in data analysis?

In data analysis, "cumulative sum of" is used to track the running total of a variable over time or across different categories. It helps identify trends and patterns by showing the accumulated effect of incremental changes. For example, you might calculate the cumulative sum of monthly sales to visualize overall sales growth.

What's the difference between "cumulative sum of" and a simple sum?

A simple sum gives you the total for a specific period or set of values. The "cumulative sum of", on the other hand, shows the running total at each point in time or for each category. It illustrates how the total grows incrementally, while a simple sum only provides the final result for a single period.

What are some alternatives to "cumulative sum of"?

Depending on the context, you can use alternatives like "total accumulation of", "running total of", or "aggregate total of". Each alternative emphasizes a slightly different aspect of the summation process. For example, "running total of" highlights the ongoing nature of the calculation.

In what contexts is "cumulative sum of" most appropriate?

The phrase "cumulative sum of" is appropriate in contexts where you need to track the progress or growth of a quantity over time or across different items. It is commonly used in finance, statistics, and scientific research to analyze trends and patterns. Examples include tracking the "total accumulation of" revenue, the running total of expenses, or the aggregate impact of scientific measurements.