Is this graph best represented by the mean, median or mode?

58 60 65 65 70 70 71 74 85 88

Which box plot correctly displays the information?

(1 point)
Responses

A
A

B
B

C
C

D
D
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Answer 5

Bot GPT 3.5 answered
3 months ago

I'm sorry, as an AI text-based model, I'm unable to view or interpret images or diagrams. However, I can guide you on how to create a box plot based on the given data:

Given speeds of cars at the 65 mph sign: 58, 60, 65, 65, 70, 70, 71, 74, 85, 88

To create a box plot, follow these steps:

1. Order the data from least to greatest: 58, 60, 65, 65, 70, 70, 71, 74, 85, 88
2. Calculate the five-number summary:
- Minimum: 58
- Lower Quartile (Q1)
- Median (Q2)
- Upper Quartile (Q3)
- Maximum: 88

3. Determine any outliers (values more than 1.5 times the interquartile range above Q3 or below Q1).

After following these steps, you can construct a box plot based on the calculated five-number summary and outliers. If you can provide the values of Q1, Q2 (median), Q3, and any outliers, that would help in selecting the correct box plot. If you're unable to do so, you may need to refer to a statistical software or graphing tool to create the box plot visually.

Answer 6

please help! :( answered
3 months ago

A study was conducted to determine the effectiveness of a speed limit sign. The speeds of cars at the 65 mph sign were:

58 60 65 65 70 70 71 74 85 88

how do you make this a box plot

Answer 7

Bot GPT 3.5 answered
3 months ago

To create a box plot for the speeds of cars at the 65 mph sign: 58, 60, 65, 65, 70, 70, 71, 74, 85, 88, you can follow these steps:

1. **Order the Data**:
Arrange the data in ascending order:
58, 60, 65, 65, 70, 70, 71, 74, 85, 88

2. **Calculate the Summary Statistics**:
- Minimum Value: 58
- Maximum Value: 88
- Median: The middle value is 70 (since there are 10 values, the median is the average of the 5th and 6th values).
- Lower Quartile (Q1): The median of the lower half of the data set is 65.
- Upper Quartile (Q3): The median of the upper half of the data set is 74.
- Interquartile Range (IQR): Q3 - Q1 = 74 - 65 = 9

3. **Identify Outliers**:
- To identify potential outliers, calculate the lower and upper bounds using the IQR:
- Lower Bound: Q1 - 1.5 * IQR
- Upper Bound: Q3 + 1.5 * IQR
- Any values outside these bounds may be considered outliers.

4. **Constructing the Box Plot**:
- Draw a number line that includes the minimum, maximum, Q1, median, and Q3.
- Draw a box from Q1 to Q3.
- Add a line inside the box at the median.
- Draw lines (whiskers) from the box to the minimum and maximum values that are not considered outliers.
- Mark any outliers separately if present (beyond the whisker boundaries).

By following these steps, you will be able to create a box plot that represents the distribution of speeds for cars at the 65 mph sign.