sara is practicing speed pole climbing. the data show her times in seconds. 16, 17.5, 17, 18, 16.5, 17, 20…

sara is practicing speed pole climbing. the data show her times in seconds. 16, 17.5, 17, 18, 16.5, 17, 20 what is the interquartile range (iqr) for saras data set? saras iqr = seconds

sara is practicing speed pole climbing. the data show her times in seconds. 16, 17.5, 17, 18, 16.5, 17, 20 what is the interquartile range (iqr) for saras data set? saras iqr = seconds

Answer

Explanation:

Step1: Ordenar los datos

$16, 16.5, 17, 17, 17.5, 18, 20$

Step2: Encontrar la mediana (Q2)

Como hay 7 datos, la mediana es el 4 - º valor ordenado. Entonces, $Q2 = 17$.

Step3: Encontrar Q1

La sub - lista de datos menores que Q2 es $16, 16.5, 17$. La mediana de esta sub - lista es $Q1=16.5$.

Step4: Encontrar Q3

La sub - lista de datos mayores que Q2 es $17.5, 18, 20$. La mediana de esta sub - lista es $Q3 = 18$.

Step5: Calcular el IQR

$IQR=Q3 - Q1=18 - 16.5 = 1.5$

Answer:

$1.5$