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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Question: Understanding Quartiles in Data Distribution**

The *third quartile* weight of these children is . . .

- ○ . . . between 50 and 60 lbs.
- ○ . . . between 60 and 70 lbs.
- ○ . . . between 80 and 90 lbs.
- ○ . . . There is not enough information to answer this.

**Explanation:**
This question tests your understanding of quartiles in a dataset. The third quartile (Q3) represents the value below which 75% of the data fall. It's also known as the upper quartile. A correct response requires analyzing or knowing the specific dataset. If the distribution data is not provided, the appropriate answer would be "There is not enough information to answer this." This reminds students of the necessity of having the underlying dataset to make accurate interpretations.
Transcribed Image Text:**Question: Understanding Quartiles in Data Distribution** The *third quartile* weight of these children is . . . - ○ . . . between 50 and 60 lbs. - ○ . . . between 60 and 70 lbs. - ○ . . . between 80 and 90 lbs. - ○ . . . There is not enough information to answer this. **Explanation:** This question tests your understanding of quartiles in a dataset. The third quartile (Q3) represents the value below which 75% of the data fall. It's also known as the upper quartile. A correct response requires analyzing or knowing the specific dataset. If the distribution data is not provided, the appropriate answer would be "There is not enough information to answer this." This reminds students of the necessity of having the underlying dataset to make accurate interpretations.
### Distribution of Weights of Children Age 9-10: Histogram Analysis

The following content describes the distribution of weights (in lbs) of 35 children aged 9-10 from a local elementary school, as depicted in the histogram below.

#### Histogram Analysis

**Title**: Weight Distribution (in lbs) of Children Aged 9-10

**X-Axis (Horizontal)**: 
- Represents the weight intervals in pounds (lbs).
- The weight intervals are grouped as follows: 
  - 30-40 lbs
  - 40-50 lbs
  - 50-60 lbs
  - 60-70 lbs
  - 80-90 lbs
  - 90-100 lbs
  - 100-110 lbs

**Y-Axis (Vertical)**: 
- Represents the frequency, i.e., the number of children whose weight falls within the corresponding interval.
- Frequency range: 0 to 10.

**Bar Heights and Intervals**:
- 30-40 lbs: Frequency is 4.
- 40-50 lbs: Frequency is 7.
- 50-60 lbs: Frequency is 10.
- 60-70 lbs: Frequency is 5.
- 80-90 lbs: Frequency is 2.
- 90-100 lbs: Frequency is 3.
- 100-110 lbs: Frequency is 4.

From the histogram, we observe that the most common weights among the children are in the 50-60 lbs range, with a frequency of 10, making it the mode of the dataset. The range with the least number of children is 80-90 lbs, which has a frequency of 2.

#### Statistical Question

*The third quartile weight of these children is . . . *

This histogram data can be used to determine various statistical measures such as mean, median, mode, range, and quartiles, aiding in understanding the weight distribution of children in this age group.
Transcribed Image Text:### Distribution of Weights of Children Age 9-10: Histogram Analysis The following content describes the distribution of weights (in lbs) of 35 children aged 9-10 from a local elementary school, as depicted in the histogram below. #### Histogram Analysis **Title**: Weight Distribution (in lbs) of Children Aged 9-10 **X-Axis (Horizontal)**: - Represents the weight intervals in pounds (lbs). - The weight intervals are grouped as follows: - 30-40 lbs - 40-50 lbs - 50-60 lbs - 60-70 lbs - 80-90 lbs - 90-100 lbs - 100-110 lbs **Y-Axis (Vertical)**: - Represents the frequency, i.e., the number of children whose weight falls within the corresponding interval. - Frequency range: 0 to 10. **Bar Heights and Intervals**: - 30-40 lbs: Frequency is 4. - 40-50 lbs: Frequency is 7. - 50-60 lbs: Frequency is 10. - 60-70 lbs: Frequency is 5. - 80-90 lbs: Frequency is 2. - 90-100 lbs: Frequency is 3. - 100-110 lbs: Frequency is 4. From the histogram, we observe that the most common weights among the children are in the 50-60 lbs range, with a frequency of 10, making it the mode of the dataset. The range with the least number of children is 80-90 lbs, which has a frequency of 2. #### Statistical Question *The third quartile weight of these children is . . . * This histogram data can be used to determine various statistical measures such as mean, median, mode, range, and quartiles, aiding in understanding the weight distribution of children in this age group.
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