A set of data has the following characteristics:

- Scores smallest place value are hundredths,

- The range is 72,

- It has been decided to use 7 intervals.

What is the interval or class width to be used?

Question

A set of data has the following characteristics:

- Scores smallest place value are hundredths,

- The range is 72,

- It has been decided to use 7 intervals.

What is the interval or class width to be used?

BlackTom AI · Accepted Answer

We start by identifying the given pieces of information and the goal.
- The data has a range of 72, which is the difference between the maximum and minimum values.
- We are to use 7 intervals (classes).
- The smallest place value in the data is hundredths, so the interval width should be expressed to two decimal places.

Step 1: Compute the raw class width.
- Class width = Range / Number of intervals = 72 / 7.
- 72 ÷ 7 = 10.285714...

Step 2: Round to the required precision.
- Since the smallest place value is hundredths, we round to two decimal places: 10.285714... rounds to 10.29.

Step 3: Check formatting constraint.
- The interval width is thus 10.29 units, which aligns with expressing the class width to two decimals as requested.

Note: If there were multiple rounding conventions, one might consider whether to floor, round, or ceiling. Here, standard rounding to two decimals yields 10.29, which provides evenly spaced intervals across the range when using 7 classes.

BU-STAT-2103-751-49510-202503 Understanding frequency distributions - Deciding number of intervals and interval widths

A set of data has the following characteristics: - Scores smallest place value are hundredths, - The range is 72, - It has been decided to use 7 intervals. What is the interval or class width to be used?

查看解析

登录即可查看完整答案

类似问题

When forming the classes for frequency distribution and histogram, suppose there were several empty classes. You should:

A set of data has the following characteristics: - All the scores are whole numbers, - The range is 90, - It has been decided to use 10 intervals. What is the interval or class width to be used?

The class width for this distribution is:

A set of data has the following characteristics: - Scores smallest place value are hundredths, - The range is 72, - It has been decided to use 7 intervals. What is the interval or class width to be used?

The class width for this distribution is:

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单