The weights (in kg) carried by the horses in a handicap race are given below. 60 57 57 55 54 53 53 53 52 52 51.5 51 What is the interquartile range? (Write the value only, don't include the units)

Question

BlackTom AI · Accepted Answer

We start by listing the given weights in ascending order to prepare for quartile calculation: 51, 51.5, 52, 52, 53, 53, 53, 54, 55, 57, 57, 60.
Since there are 12 data points (an even number), we split the data into two halves of 6 values each to determine Q1 and Q3.
Lower half (first 6 values): 51, 51.5, 52, 52, 53, 53. The median of this half is the average of its 3rd and 4th values, which are 52 and 52. Therefore, Q1 = 52.
Upper half (last 6 values): 53, 54, 55, 57, 57, 60. The median of this half is the average of its 3rd and 4th values, which are 55 and 57. Therefore, Q3 = (55 + 57) / 2 = 56.
The interquartile range (IQR) is Q3 − Q1, which equals 56 − 52 = 4.
Note on alternative definitions: some approaches define quartiles differently (for example, using a different method for locating quartile boundaries or including/excluding the median in halves), and those methods can yield a different IQR, such as 3.5. Here, the commonly taught method of splitting the data into two equal halves and taking the medians of those halves leads to an IQR of 4.

The weights (in kg) carried by the horses in a handicap race are given below. 60 57 57 55 54 53 53 53 52 52 51.5 51 What is the interquartile range? (Write the value only, don't include the units)

查看解析

登录即可查看完整答案

类似问题

位置18的问题 The 题库 1/1[input] range is the difference between the first and third quartiles. (Note: Answer can only be one word or one number, must be lowercase.)

A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 The IQR is

An interquartile range describes the spread of the middle 50% of data.

The weights (in kg) carried by the horses in a handicap race are given below. 60 57 57 55 54 53 53 53 52 52 51.5 51 What is the interquartile range? (Write the value only, don't include the units)

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