Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

grade 6 10.9 computing the interquartwhat is the interquartile range of…

Question

grade 6 10.9 computing the interquartwhat is the interquartile range of the set of data?7,17,12,9,8,14,15,14,13,18the iqr of the set of data is

Explanation:

Step1: Sort the data

7, 8, 9, 12, 13, 14, 14, 15, 17, 18

Step2: Find median (Q2)

Median = $\frac{13 + 14}{2} = 13.5$

Step3: Split into lower/upper halves

Lower half: 7,8,9,12,13; Upper half:14,14,15,17,18

Step4: Calculate Q1 and Q3

Q1 = median of lower half = 9; Q3 = median of upper half =15

Step5: Compute IQR

IQR = Q3 - Q1 = 15 - 9 = 6

Answer:

6