Asked by ARIELA FERMIN GARCIA on Jul 20, 2024

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The numbers of hours worked (per week) by 400 statistics students are shown below. The numbers of hours worked (per week)  by 400 statistics students are shown below.   ​ The cumulative percent frequency for < 29 hours is A)  50. B)  75. C)  200. D)  300. ​ The cumulative percent frequency for < 29 hours is

A) 50.
B) 75.
C) 200.
D) 300.

Cumulative Percent

A statistical calculation that shows the percentage total of observations that fall below or at a specific value when data is arranged in ascending order.

Statistics Students

Individuals engaged in the study of collecting, analyzing, interpreting, and presenting empirical data.

Hours Worked

The total number of hours spent working by an individual or group within a specific period, such as a day or week.

  • Understand the concept and calculation of cumulative percent frequency.
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DM
Divishtha MalikJul 23, 2024
Final Answer :
B
Explanation :
To find the cumulative percent frequency for < 29 hours, we need to add up the percent frequencies for all values less than 29. From the cumulative frequency table, we can see that the percent frequency for the interval 0-9 is 3.25, for 10-19 it is 8.5, for 20-29 it is 13.5. Adding these gives:
3.25 + 8.5 + 13.5 = 25.25%
Therefore, the cumulative percent frequency for < 29 hours is 25.25%.
The closest answer choice is B) 75 which is the complement of the cumulative percent frequency for ≥ 29 hours:
100% - 25.25% = 74.75%, which is approximately 75%.