7. 44,51,36,19,40,69,49,46\n8. 76,72,64,93,80,78,96,75,70,72\n7) q1=____ q3=____ iqr=____\noutlier?\n8)…

Answer:

q1 = 36 q3 = 51 iqr = 15 Outlier? No

q1 = 72 q3 = 80 iqr = 8 Outlier? No

q1 = 51 q3 = 75 iqr = 24 Outlier? No

Explanation:

Step1: Sort the data sets

For 7: 19, 36, 40, 44, 46, 49, 51, 69 For 8: 64, 72, 76, 78, 80, 93, 96 For 9: 51, 54, 72, 74, 75, 75, 79, 82, 85

Step2: Calculate q1 and q3

For 7: n = 8. Lower - half is 19, 36, 40, 44. q1=$\frac{36 + 40}{2}$ = 36. Upper - half is 46, 49, 51, 69. q3=$\frac{49+51}{2}$ = 51. For 8: n = 7. Lower - half is 64, 72, 76. q1 = 72. Upper - half is 80, 93, 96. q3 = 80. For 9: n = 9. Lower - half is 51, 54, 72, 74. q1=$\frac{54 + 72}{2}$ = 51. Upper - half is 75, 79, 82, 85. q3=$\frac{79+82}{2}$ = 75.

Step3: Calculate iqr

For 7: iqr = q3 - q1 = 51 - 36 = 15. For 8: iqr = q3 - q1 = 80 - 72 = 8. For 9: iqr = q3 - q1 = 75 - 51 = 24.

Step4: Check for outliers

Lower fence = q1-1.5iqr, Upper fence = q3 + 1.5iqr. For 7: Lower fence = 36-1.515=36 - 22.5 = 13.5, Upper fence = 51+1.515=51 + 22.5 = 73.5. No outliers. For 8: Lower fence = 72-1.58=72 - 12 = 60, Upper fence = 80+1.58=80 + 12 = 92. No outliers. For 9: Lower fence = 51-1.524=51 - 36 = 15, Upper fence = 75+1.524=75 + 36 = 111. No outliers.