Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the data set represents wait times (in minutes) for various services at…

Question

the data set represents wait times (in minutes) for various services at a states department of motor vehicles locations. which wait time represents the 50th percentile? how would you interpret this?

16 4 19 3 19 26 5 3 4 7 6 10 9 10 20 18
3 20 10 13 14 11 14 17 4 27 4 8 4 3 26 18
21 1 3 3 5 5 6 10 1 22 23 10 6 7 2 1

which wait time represents the 50th percentile?
9 minutes
(type a whole number.)

how would you interpret this?

a. at least 50% of wait times are greater than this wait time.
b. about 50% of wait times are less than this wait time.
c. this is the mode of the wait times.
d. this is the mean of the wait times.

Explanation:

Sort the dataset

Using the Percentiles and Quantiles and Median Calculation knowledge points

$$ LATEXBLOCK0 $$

Find the 50th percentile

Using the Percentiles and Quantiles and Median Calculation knowledge points

$$ LATEXBLOCK1 $$

Interpret the 50th percentile

The 50th percentile represents the value below which approximately 50% of the observations fall. Therefore, about 50% of the wait times are less than this wait time.

Answer:

Question 1

9

Question 2

  • A. At least 50% of wait times are greater than this wait time.
  • B. About 50% of wait times are less than this wait time. (Correct answer)
  • C. This is the mode of the wait times.
  • D. This is the mean of the wait times.