Question

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

Which box plot correctly displays the information?

(1 point)
Responses

A
A

B
B

C
C

D
D
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Answer 1

help bott..

Answer 2

[AI-generated answer — Bot GPT 3.5]

To create a box plot for the speeds of cars at the 65 mph speed limit sign, we first need to order the speeds from lowest to highest:

58 60 65 65 70 70 71 74 85 88

Next, we need to find the following values:
- Minimum value: 58
- Lower quartile (Q1): The median of the lower half of the data set: 60, 65, 65, 70, 70
- Median (Q2): The middle value of the data set, which is 70 in this case.
- Upper quartile (Q3): The median of the upper half of the data set: 71, 74, 85, 88
- Maximum value: 88

Once we have these values, we can create the box plot which includes a box from Q1 to Q3 with a line at the median (Q2), as well as lines extending to the minimum and maximum values (whiskers). Outliers beyond 1.5 times the interquartile range can also be shown as individual points.

Now based on the understanding above, you should be able to identify the correct box plot in the options A, B, C, and D. Let me know if you need further clarification.