Question

nissan 92
toyota 92
ford 95
honda 94
hyundai 80
acura 72

what is the upper and lower quartile of this set of data?

lower quartile: 80.5
upper quartile: 93

lower quartile: 88
upper quartile: 93

lower quartile: 80.5
upper quartile: 88

lower quartile: 72
upper quartile: 95

Explanation:

Step1: Sort the data ascendingly

$72, 80, 92, 92, 94, 95$

Step2: Find median (Q2)

Split data into two halves:
Lower half: $72, 80, 92$
Upper half: $92, 94, 95$

Step3: Calculate lower quartile (Q1)

Q1 = median of lower half: $\frac{80 + 92}{2} = 86$

Step4: Calculate upper quartile (Q3)

Q3 = median of upper half: $\frac{92 + 94}{2} = 93$

Answer:

lower quartile: 86
upper quartile: 93