Question

The dot plot shows the lengths of the 12 trailers sold at a store last

Math Q4


Which statement about the data is true?

Group of answer choices

The interquartile range is 7, and the range is 17.

The interquartile range is 7, and the range is 11.

The interquartile range is 2.75, and the range is 17.

The interquartile range is 2.75, and the range is 11.

Answer 1

I don’t see the dot plot image or the actual values — could you upload the plot or type the 12 trailer lengths shown? Without the plot I can’t pick which answer is correct.

To help, here are the exact steps you can follow (with 12 data points) to decide which choice is true:

1. Order the 12 lengths from smallest to largest: x1 ≤ x2 ≤ ... ≤ x12.
2. Range = x12 − x1.

3. For quartiles with 12 (even) observations:
- Median = (x6 + x7)/2 (not needed for IQR here, but useful).
- Lower half = x1,...,x6 → Q1 = median of lower half = (x3 + x4)/2.
- Upper half = x7,...,x12 → Q3 = median of upper half = (x9 + x10)/2.
4. IQR = Q3 − Q1 = [(x9 + x10) / 2] − [(x3 + x4) / 2].

So: read off the smallest and largest dots to get the range, and read off the 3rd, 4th, 9th, 10th values (in the ordered list) to compute Q1 and Q3 and then IQR. Once you compute those numbers, compare them to the four choices.

If you post the dot plot or the 12 values, I’ll compute the range and IQR and tell you which answer is correct.