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Chapter 12: Problem 37

In Exercises 37-44, find the midrange for each group of data items. \(7,4,3,2,8,5,1,3\)

Short Answer

Expert verified
The midrange of the data set is \(4.5\).

Step by step solution

01

Identify the smallest and largest numbers in the data set

In this problem, the numbers in the data set are: 7, 4, 3, 2, 8, 5, 1, 3. The smallest number in this set is 1 and the largest number is 8.
02

Calculate the midrange

Having identified the smallest and largest numbers, the midrange is calculated by adding these two numbers and dividing by 2. So, \( \text{Midrange} = ( \text{Smallest number} + \text{Largest number} ) / 2 = (1 + 8) / 2 = 4.5 \)

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Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Use the data \(1,2,3,5,6,7\). Without actually computing the standard deviation, which of the following best approximates the standard deviation? a. 2 b. 6 c. 10 d. 20

A set of data items is normally distributed with a mean of 60 and a standard deviation of 8.Convert each data item to a z-score. 78

A set of data items is normally distributed with a mean of 60 and a standard deviation of 8.Convert each data item to a z-score. 30

Find the standard deviation for each group of data items. Round answers to two decimal places. \(3,3,4,4,5,5\)

A set of data items is normally distributed with a mean of 400 and a standard deviation of 50. Find the data item in this distribution that corresponds to the given z-score. \(z=2.5\)
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