Question

match the iqr to the 5 - number summary: match the iqr to the 5 - number summary: iqr 6 iqr 7 iqr 19 iqr 16 min 90 q1 90 med 104 q3 112 max 118 min 90 q1 101 med 105 q3 107 max 118 min 90 q1 95 med 96 q3 102 max 118 min 90 q1 98 med 111 q3 117 max 118

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q3 - Q1$.

Step2: Calculate IQR for first 5 - number summary

For the first 5 - number summary (Min 90, Q1 90, Med 104, Q3 112, Max 118), $IQR=112 - 90=22$.

Step3: Calculate IQR for second 5 - number summary

For the second 5 - number summary (Min 90, Q1 101, Med 105, Q3 107, Max 118), $IQR = 107-101 = 6$.

Step4: Calculate IQR for third 5 - number summary

For the third 5 - number summary (Min 90, Q1 95, Med 96, Q3 102, Max 118), $IQR=102 - 95 = 7$.

Step5: Calculate IQR for fourth 5 - number summary

For the fourth 5 - number summary (Min 90, Q1 98, Med 111, Q3 117, Max 118), $IQR=117 - 98 = 19$.

Answer:

IQR 6 matches Min 90, Q1 101, Med 105, Q3 107, Max 118
IQR 7 matches Min 90, Q1 95, Med 96, Q3 102, Max 118
IQR 19 matches Min 90, Q1 98, Med 111, Q3 117, Max 118
IQR 16 has no match among the given 5 - number summaries.