Haru recorded how long his bus ride to school took for `16` days.



Here are the values of the quartiles.



About how many rides would you expect to be less than `10` minutes long?

Haru recorded how long his bus ride to school took for 16 days Here are the values of the quartiles About how many rides would you expect to be less than 10 min class=


Answer :

Answer:

12

Step-by-step explanation:

Quartiles are statistical measures that divide a dataset into four equal parts, representing values below which a specified proportion of the data falls.

  • The first quartile (Q1) represents the 25th percentile, meaning 25% of the data falls below this value.
  • The second quartile (Q2), also known as the median, represents the 50th percentile, meaning 50% of the data falls below this value.
  • The third quartile (Q3) represents the 75th percentile, meaning 75% of the data falls below this value.

Since Q3 is 10 minutes, 75% of the rides are less than 10 minutes long.

Therefore, we would expect about 75% of the 16 rides to be less than 10 minutes long:

[tex]\sf 75\% \; of \; 16\;rides = \dfrac{75}{100}\times 16=\dfrac{1200}{100}=12\;rides[/tex]

So, approximately 12 rides would be less than 10 minutes long.