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The weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot. Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 0 69 10129 20002238 3 000145789 4 04679 5 3 Key: 30=30

The weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot. Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 0 69 10129 20002238 3 000145789 4 04679 5 3 Key: 30=30

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please be sure to find the mean, median, and mode if possible. If can’t be found explain why.
**Stem-and-Leaf Plot Analysis** The weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot. The task is to find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, an explanation is required. **Stem-and-Leaf Plot Explanation:** - **Stems** represent the tens digit. - **Leaves** represent the units digit. - **Key**: 3 | 0 = 30 | Stem | Leaves | |------|---------------| | 0 | 6, 9 | | 1 | 0, 1, 2, 9 | | 2 | 0, 0, 2, 2, 3, 8 | | 3 | 0, 0, 1, 4, 5, 7, 8, 9 | | 4 | 0, 4, 6, 7, 9 | | 5 | 3 | **Questions:** 1. **Find the mean**: Select the correct choice below and fill in the answer box if necessary: - A. The mean is \_\_\_ (Round to one decimal place as needed.) - B. The mean cannot be calculated because the sample size is too small. - C. The mean cannot be calculated because there is an even number of data entries. - D. The mean cannot be calculated because the data are at the nominal level of measurement. 2. **Does the mean represent the center of the data?** Choose the correct answer below: - A. The mean represents the center of the data set. - B. The mean does not represent the center because it is the least data entry. - C. The mean does not represent the center because it is the greatest data entry.
Transcribed Image Text:**Stem-and-Leaf Plot Analysis** The weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot. The task is to find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, an explanation is required. **Stem-and-Leaf Plot Explanation:** - **Stems** represent the tens digit. - **Leaves** represent the units digit. - **Key**: 3 | 0 = 30 | Stem | Leaves | |------|---------------| | 0 | 6, 9 | | 1 | 0, 1, 2, 9 | | 2 | 0, 0, 2, 2, 3, 8 | | 3 | 0, 0, 1, 4, 5, 7, 8, 9 | | 4 | 0, 4, 6, 7, 9 | | 5 | 3 | **Questions:** 1. **Find the mean**: Select the correct choice below and fill in the answer box if necessary: - A. The mean is \_\_\_ (Round to one decimal place as needed.) - B. The mean cannot be calculated because the sample size is too small. - C. The mean cannot be calculated because there is an even number of data entries. - D. The mean cannot be calculated because the data are at the nominal level of measurement. 2. **Does the mean represent the center of the data?** Choose the correct answer below: - A. The mean represents the center of the data set. - B. The mean does not represent the center because it is the least data entry. - C. The mean does not represent the center because it is the greatest data entry.
**Transcription and Explanation for Educational Purposes** The data represents the weights, in pounds, of packages on a delivery truck, displayed in a stem-and-leaf plot. The task is to find the mean, median, and mode of this data. If any measure cannot be found or does not represent the center of the data, an explanation is required. **Stem-and-Leaf Plot** - **Stem | Leaf** - 0 | 6, 9 - 1 | 0, 1, 2, 9 - 2 | 0, 0, 0, 2, 2, 3, 8 - 3 | 0, 0, 1, 4, 5, 7, 8, 9 - 4 | 0, 4, 6, 7, 9 - 5 | 3 *Key:* 3 | 0 = 30 **Multiple Choice Questions:** 1. (Round to one decimal place as needed.) - **B.** The median cannot be calculated because there is an even number of data entries. - **C.** The median cannot be calculated because the data are at the nominal level of measurement. - **D.** The median cannot be calculated because the sample size is too small. 2. Does the median represent the center of the data? Choose the correct answer below: - **A.** The median represents the center of the data set. - **B.** The median does not represent the center because it is not a data entry. - **C.** The median does not represent the center because it is the greatest data entry. - **D.** The median does not represent the center because it is the least data entry. - **E.** The data set does not have a median. **Explanation of the Stem-and-Leaf Plot:** The stem-and-leaf plot efficiently organizes data, showcasing each weight category by the leading digit (stem) with the individual digits listed as leaves. This type of plot helps in understanding the distribution and frequency of data points at a glance, particularly useful for identifying modes and medians in the data.
Transcribed Image Text:**Transcription and Explanation for Educational Purposes** The data represents the weights, in pounds, of packages on a delivery truck, displayed in a stem-and-leaf plot. The task is to find the mean, median, and mode of this data. If any measure cannot be found or does not represent the center of the data, an explanation is required. **Stem-and-Leaf Plot** - **Stem | Leaf** - 0 | 6, 9 - 1 | 0, 1, 2, 9 - 2 | 0, 0, 0, 2, 2, 3, 8 - 3 | 0, 0, 1, 4, 5, 7, 8, 9 - 4 | 0, 4, 6, 7, 9 - 5 | 3 *Key:* 3 | 0 = 30 **Multiple Choice Questions:** 1. (Round to one decimal place as needed.) - **B.** The median cannot be calculated because there is an even number of data entries. - **C.** The median cannot be calculated because the data are at the nominal level of measurement. - **D.** The median cannot be calculated because the sample size is too small. 2. Does the median represent the center of the data? Choose the correct answer below: - **A.** The median represents the center of the data set. - **B.** The median does not represent the center because it is not a data entry. - **C.** The median does not represent the center because it is the greatest data entry. - **D.** The median does not represent the center because it is the least data entry. - **E.** The data set does not have a median. **Explanation of the Stem-and-Leaf Plot:** The stem-and-leaf plot efficiently organizes data, showcasing each weight category by the leading digit (stem) with the individual digits listed as leaves. This type of plot helps in understanding the distribution and frequency of data points at a glance, particularly useful for identifying modes and medians in the data.
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