Final answer:
The minimum speed of the cars is 54, the maximum speed is 80, the lower quartile is 60.5, the upper quartile is 68.5, and the median speed is 65.
Step-by-step explanation:
Speed of Cars on the Highway
To find the minimum, maximum, lower quartile, upper quartile, and median of the given speeds of 9 cars, we can use the following steps:
- Arrange the speeds in ascending order: {54, 58, 62, 63, 65, 67, 70, 77, 80}.
- The minimum speed is the lowest value, which is 54.
- The maximum speed is the highest value, which is 80.
- To find the lower quartile, we need to find the median of the lower half of the speeds. The lower half of the speeds is {54, 58, 62, 63}. The median of this set is the lower quartile, which is 60.5.
- To find the upper quartile, we need to find the median of the upper half of the speeds. The upper half of the speeds is {65, 67, 70, 77}. The median of this set is the upper quartile, which is 68.5.
- The median is the middle value of the speeds, which is 65.
The speed of 9 cars on the highway are as follows:
Minimum: 54
Maximum: 80
Lower quartile: 60.5
Upper quartile: 68.5
Median: 65
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