The correct answer is 4/15
Answer:
See explanation
Step-by-step explanation:
Given
See attachment for proper presentation of question
Required
Mean and Range
To do this, we simply calculate the mean and the range of each row.
---- mean
Where:
---- number of rows
--- range
So, we have:
Sample 1
![\bar x_1 = \frac{1027+ 994 +977 +994 }{4}](https://tex.z-dn.net/?f=%5Cbar%20x_1%20%3D%20%5Cfrac%7B1027%2B%20994%20%2B977%20%2B994%20%7D%7B4%7D)
![\bar x_1 = 998](https://tex.z-dn.net/?f=%5Cbar%20x_1%20%3D%20998)
![R_1 = 1027- 994](https://tex.z-dn.net/?f=R_1%20%3D%201027-%20994)
![R_1 = 33](https://tex.z-dn.net/?f=R_1%20%3D%2033)
Sample 2
![\bar x_2 = \frac{975 +1013 +999 +1017}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_2%20%3D%20%5Cfrac%7B975%20%2B1013%20%2B999%20%2B1017%7D%7B4%7D)
![\bar x_2 = 1001](https://tex.z-dn.net/?f=%5Cbar%20x_2%20%3D%201001)
![R_2 = 1017 - 975](https://tex.z-dn.net/?f=R_2%20%3D%20%201017%20-%20975)
![R_2 = 42](https://tex.z-dn.net/?f=R_2%20%3D%2042)
Sample 3
![\bar x_3 = \frac{988 +1016 +974 +997}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_3%20%3D%20%5Cfrac%7B988%20%2B1016%20%2B974%20%2B997%7D%7B4%7D)
![\bar x_3 = 993.75](https://tex.z-dn.net/?f=%5Cbar%20x_3%20%3D%20993.75)
![R_3 = 1016-974](https://tex.z-dn.net/?f=R_3%20%3D%201016-974)
![R_3 = 42](https://tex.z-dn.net/?f=R_3%20%3D%2042)
Sample 4
![\bar x_4 = \frac{998 +1024 +1006 +1010}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_4%20%3D%20%5Cfrac%7B998%20%2B1024%20%2B1006%20%2B1010%7D%7B4%7D)
![\bar x_4 = 1009.5](https://tex.z-dn.net/?f=%5Cbar%20x_4%20%3D%201009.5)
![R_4 = 1024 -998](https://tex.z-dn.net/?f=R_4%20%3D%201024%20-998)
![R_4 = 26](https://tex.z-dn.net/?f=R_4%20%3D%2026)
Sample 5
![\bar x_5 = \frac{990 +1012 +990 +1000}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_5%20%3D%20%5Cfrac%7B990%20%2B1012%20%2B990%20%2B1000%7D%7B4%7D)
![\bar x_5 = 998](https://tex.z-dn.net/?f=%5Cbar%20x_5%20%3D%20998)
![R_5 = 1012 -990](https://tex.z-dn.net/?f=R_5%20%3D%201012%20-990)
![R_5 = 22](https://tex.z-dn.net/?f=R_5%20%3D%2022)
Sample 6
![\bar x_6= \frac{1016 + 998 +1001 +1030}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_6%3D%20%5Cfrac%7B1016%20%2B%20998%20%2B1001%20%2B1030%7D%7B4%7D)
![\bar x_6= 1011.25](https://tex.z-dn.net/?f=%5Cbar%20x_6%3D%201011.25)
![R_6= 1030-998](https://tex.z-dn.net/?f=R_6%3D%201030-998)
![R_6= 32](https://tex.z-dn.net/?f=R_6%3D%2032)
Sample 7
![\bar x_7 = \frac{1000 +983 +979 +971}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_7%20%3D%20%5Cfrac%7B1000%20%2B983%20%2B979%20%2B971%7D%7B4%7D)
![\bar x_7 = 983.25](https://tex.z-dn.net/?f=%5Cbar%20x_7%20%3D%20983.25)
![R_7 = 1000-971](https://tex.z-dn.net/?f=R_7%20%3D%201000-971)
![R_7 = 29](https://tex.z-dn.net/?f=R_7%20%3D%2029)
Sample 8
![\bar x_8 = \frac{973 +982 +975 +1030}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_8%20%3D%20%5Cfrac%7B973%20%2B982%20%2B975%20%2B1030%7D%7B4%7D)
![\bar x_8 = 990](https://tex.z-dn.net/?f=%5Cbar%20x_8%20%3D%20990)
![R_8 = 1030-973](https://tex.z-dn.net/?f=R_8%20%3D%201030-973)
![R_8 = 57](https://tex.z-dn.net/?f=R_8%20%3D%2057)
Sample 9
![\bar x_9 = \frac{992 +1028 +991 +998}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_9%20%3D%20%5Cfrac%7B992%20%2B1028%20%2B991%20%2B998%7D%7B4%7D)
![\bar x_9 = 1002.25](https://tex.z-dn.net/?f=%5Cbar%20x_9%20%3D%201002.25)
![R_9 = 1028 -991](https://tex.z-dn.net/?f=R_9%20%3D%201028%20-991)
![R_9 = 37](https://tex.z-dn.net/?f=R_9%20%3D%2037)
Sample 10
![\bar x_{10} = \frac{997 +1026 +972 +1021}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_%7B10%7D%20%3D%20%5Cfrac%7B997%20%2B1026%20%2B972%20%2B1021%7D%7B4%7D)
![\bar x_{10} = 1004](https://tex.z-dn.net/?f=%5Cbar%20x_%7B10%7D%20%3D%201004)
![R_{10} = 1026 -972](https://tex.z-dn.net/?f=R_%7B10%7D%20%3D%201026%20-972)
![R_{10} = 54](https://tex.z-dn.net/?f=R_%7B10%7D%20%3D%2054)
Sample 11
![\bar x_{11} = \frac{990 +1021 +1028 +992}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_%7B11%7D%20%3D%20%5Cfrac%7B990%20%2B1021%20%2B1028%20%2B992%7D%7B4%7D)
![\bar x_{11} = 1007.75](https://tex.z-dn.net/?f=%5Cbar%20x_%7B11%7D%20%3D%201007.75)
![R_{11} = 1028 -990](https://tex.z-dn.net/?f=R_%7B11%7D%20%3D%201028%20-990)
![R_{11} = 38](https://tex.z-dn.net/?f=R_%7B11%7D%20%3D%2038)
Sample 12
![\bar x_{12} = \frac{1021 +998 +996 +970}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_%7B12%7D%20%3D%20%5Cfrac%7B1021%20%2B998%20%2B996%20%2B970%7D%7B4%7D)
![\bar x_{12} = 996.25](https://tex.z-dn.net/?f=%5Cbar%20x_%7B12%7D%20%3D%20996.25)
![R_{12} = 1021 -970](https://tex.z-dn.net/?f=R_%7B12%7D%20%3D%201021%20-970)
![R_{12} = 51](https://tex.z-dn.net/?f=R_%7B12%7D%20%3D%2051)
Sample 13
![\bar x_{13} = \frac{1027 +993 +996 +996}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_%7B13%7D%20%3D%20%5Cfrac%7B1027%20%2B993%20%2B996%20%2B996%7D%7B4%7D)
![\bar x_{13} = 1003](https://tex.z-dn.net/?f=%5Cbar%20x_%7B13%7D%20%3D%201003)
![R_{13} =1027 -993](https://tex.z-dn.net/?f=R_%7B13%7D%20%3D1027%20-993)
![R_{13} =34](https://tex.z-dn.net/?f=R_%7B13%7D%20%3D34)
Sample 14
![\bar x_{14} = \frac{1022 +981 +1014 +983}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_%7B14%7D%20%3D%20%5Cfrac%7B1022%20%2B981%20%2B1014%20%2B983%7D%7B4%7D)
![\bar x_{14} = 1000](https://tex.z-dn.net/?f=%5Cbar%20x_%7B14%7D%20%3D%201000)
![R_{14} = 1022 -981](https://tex.z-dn.net/?f=R_%7B14%7D%20%3D%201022%20-981)
![R_{14} = 41](https://tex.z-dn.net/?f=R_%7B14%7D%20%3D%2041)
Sample 15
![\bar x_{15} = \frac{977 +993 +986 +983}{4}](https://tex.z-dn.net/?f=%5Cbar%20x_%7B15%7D%20%3D%20%5Cfrac%7B977%20%2B993%20%2B986%20%2B983%7D%7B4%7D)
![\bar x_{15} = 984.75](https://tex.z-dn.net/?f=%5Cbar%20x_%7B15%7D%20%3D%20984.75)
![R_{15} = 993-977](https://tex.z-dn.net/?f=R_%7B15%7D%20%3D%20993-977)
![R_{15} = 16](https://tex.z-dn.net/?f=R_%7B15%7D%20%3D%2016)
Assuming x is the missing angle, and knowing that complimentary means 90, subtract 90-73 to get 17.
Answer:
21
Step-by-step explanation:
Answer:
No.
Step-by-step explanation: