20 the table below shows the highest temperatures recorded in august for several years in one town.\n| year…

20 the table below shows the highest temperatures recorded in august for several years in one town.\n| year | temperature (°f) |\n| ---- | ---- |\n| 1990 | 86 |\n| 1991 | 78 |\n| 1992 | 84 |\n| 1993 | 95 |\n| 1994 | 81 |\n| 1995 | 77 |\n| 1996 | 88 |\n| 1997 | 93 |\nthe interquartile range of these data is\n(1) 7\n(2) 10\n(3) 11\n(4) 18

20 the table below shows the highest temperatures recorded in august for several years in one town.\n| year | temperature (°f) |\n| ---- | ---- |\n| 1990 | 86 |\n| 1991 | 78 |\n| 1992 | 84 |\n| 1993 | 95 |\n| 1994 | 81 |\n| 1995 | 77 |\n| 1996 | 88 |\n| 1997 | 93 |\nthe interquartile range of these data is\n(1) 7\n(2) 10\n(3) 11\n(4) 18

Answer

Answer:

(3) 11

Explanation:

Step1: Arrange data in ascending order

77, 78, 81, 84, 86, 88, 93, 95

Step2: Find median (Q2)

Since (n = 8) (even), (Q2=\frac{84 + 86}{2}=85)

Step3: Find lower - half data

77, 78, 81, 84. Median of lower - half (Q1) is (\frac{78+81}{2}=79.5)

Step4: Find upper - half data

86, 88, 93, 95. Median of upper - half (Q3) is (\frac{88 + 93}{2}=90.5)

Step5: Calculate inter - quartile range (IQR)

(IQR=Q3 - Q1=90.5-79.5 = 11)