Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

This list shows the number of years that 99 U.S. Supreme Court Justices served:

0, 1, 2, 2, 2, 3, 3, 3, 4, 4,
4, 4, 5, 5, 5, 5, 5, 5, 5, 6,
6, 6, 6, 7, 7, 7, 7, 7, 8, 8,
8, 8, 9, 9, 9, 9, 10, 10, 10, 11,
13, 13, 13, 13, 14, 14, 14, 14, 15, 15,
15, 15, 15, 15, 15, 15, 16, 16, 16, 16,
17, 17, 18, 18, 18, 19, 19, 19, 20, 20,
20, 20, 20, 21, 22, 23, 23, 23, 23, 23,
24, 24, 26, 26, 26, 26, 27, 28, 28, 28,
29, 30, 30, 31, 31, 32, 33, 33, 33, 34,
34, 34, 36

What number of years is the mode the Supreme Court justices served?

a. 20
b. 15
c. 23
d. 5

Sagot :

GinnyAnswer
To determine the mode of the distribution of years served by the 99 U.S. Supreme Court Justices, we need to find the number of years that appears most frequently in the dataset.

A mode is the value that appears most frequently in a data set.

1. Step-by-step breakdown:
- List out all the frequencies of each year.
- Identify the year with the highest frequency.

2. Data listing:
- The given dataset is:
[tex]\[ 0, 4, 6, 8, 13, 15, 18, 22, 26, 31, 4, 6, 9, 13, 15, 19, 23, 26, 32, 1, 4, 6, 9, 14, 16, 19, 23, 27, 33, 2, 5, 7, 9, 14, 16, 20, 23, 28, 33, 2, 5, 7, 10, 14, 16, 20, 23, 28, 33, 2, 5, 7, 10, 14, 16, 20, 23, 28, 34, 3, 5, 7, 10, 15, 17, 20, 24, 29, 34, 3, 5, 8, 11, 15, 17, 20, 24, 30, 34, 3, 5, 8, 13, 15, 18, 21, 26, 30, 36, 4, 5, 8, 13, 15, 18, 21, 26, 31 \][/tex]

3. Frequency counting:
- Count how many times each number appears in the dataset.

4. Determine mode:
- Check the frequencies and determine which number appears the most.

From the counted frequencies, the number 5 appears the most frequently. Therefore:

The mode of the number of years the Supreme Court Justices served is 5.

The number of years most frequently served by the Supreme Court Justices is 5 years.

Answer: d. 5
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.