Questions: Homework 85 (Ch. 3.1) Question 7 of 8 (1 point) I Question Attempt 1 of Unlimited For these situations, state which measure of central tendency-mean, median, or mode-should be used. Part 1 of 2 (a) Further statistical computations will be needed. The (Choose one) should be used when further statistical computations will be needed. Part 2 of 2 (b) The distribution is open-ended. The (Choose one) should be used when the distribution is open-ended.

Homework 85 (Ch. 3.1)
Question 7 of 8 (1 point) I Question Attempt 1 of Unlimited

For these situations, state which measure of central tendency-mean, median, or mode-should be used.

Part 1 of 2
(a) Further statistical computations will be needed.

The (Choose one) should be used when further statistical computations will be needed.

Part 2 of 2
(b) The distribution is open-ended.

The (Choose one) should be used when the distribution is open-ended.
Transcript text: Homework 85 (Ch. 3.1) Question 7 of 8 (1 point) I Question Attempt 1 of Unlimited For these situations, state which measure of central tendency-mean, median, or mode-should be used. Part 1 of 2 (a) Further statistical computations will be needed. The (Choose one) $\boldsymbol{\nabla}$ should be used when further statistical computations will be needed. Part 2 of 2 (b) The distribution is open-ended. The (Choose one) $\boldsymbol{\nabla}$ should be used when the distribution is open-ended.
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Solution

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Solution Steps

Solution Approach

For part (a), when further statistical computations are needed, the mean is typically used because it takes all data points into account and is useful for further mathematical operations. For part (b), when the distribution is open-ended, the median is often preferred because it is not affected by extreme values or the lack of upper or lower bounds.

Step 1: Determine the Measure of Central Tendency for Further Statistical Computations

When further statistical computations are needed, the mean should be used. The mean is calculated by summing all the data points and dividing by the number of data points. It is useful for further mathematical operations because it takes all data points into account.

Step 2: Determine the Measure of Central Tendency for Open-Ended Distributions

When the distribution is open-ended, the median should be used. The median is the middle value of a data set when it is ordered from least to greatest. It is not affected by extreme values or the lack of upper or lower bounds, making it a robust measure of central tendency for open-ended distributions.

Final Answer

\(\boxed{\text{mean}}\)

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