the number of incidents in which police were needed for a sample of 11 schools in one county is: 37 17 44 50…

the number of incidents in which police were needed for a sample of 11 schools in one county is: 37 17 44 50 28 31 15 48 1 7 6 send data to excel find the first and third quartiles for the data. part: 0 / 2 part 1 of 2 first quartile $q_1$ is

the number of incidents in which police were needed for a sample of 11 schools in one county is: 37 17 44 50 28 31 15 48 1 7 6 send data to excel find the first and third quartiles for the data. part: 0 / 2 part 1 of 2 first quartile $q_1$ is

Answer

Explanation:

Step1: Sort the data

$1,6,7,15,17,28,31,37,44,48,50$

Step2: Calculate the position of $Q_1$

The formula for the position of the first - quartile $Q_1$ is $L_{Q_1}=\frac{n + 1}{4}$, where $n = 11$. So $L_{Q_1}=\frac{11+1}{4}=3$. The third - ordered value is the first quartile. $Q_1 = 7$

Step3: Calculate the position of $Q_3$

The formula for the position of the third - quartile $Q_3$ is $L_{Q_3}=\frac{3(n + 1)}{4}$, where $n = 11$. So $L_{Q_3}=\frac{3\times(11 + 1)}{4}=9$. The ninth - ordered value is the third quartile. $Q_3 = 44$

Answer:

First quartile $Q_1$ is $7$