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Adv_Stat_Assignment_2.txt
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The box and whisker plot below was drawn using a list of numbers (data).
Determine if each statement is definitely true, definitely false, or cannot be
determined. If you believe it cannot be determined, cross your arms and
pout, to give the impression that you are truly outraged at the lack of
information.
Half the data falls between 1 and 3. Definitely True
The number 5 must be in the list of numbers from which this plot was
drawn. - Definitely True
The number 1.5 must be in the list of numbers from which this plot was
drawn. - Definitely False
2. Find the median, lower quartile and upper quartile of the following numbers 12, 5,
22, 30, 7, 36, 14, 42, 15, 53, 25
Median=22
Lower Quartile= 13
Upper Quartile= 33
3. Find the median, lower quartile, upper quartile, interquartile range and range of
the following numbers.12, 5, 22, 30, 7, 36, 14, 42, 15, 53, 25, 65
Median= 23.5
Lower Quartile(Q1)=12.25
Upper Quartile(Q3)=23.50
IQR= Q3- Q1 = 23.5-12.25=11.25
range(Difference between Highest and lowest number) = Max - min = 63
4. Find the range of the following data set. {1, 6, 3, 9, 7, 2, 5, 4, 11, 15, 10}
Range = 14
5. For the data set below, which value is in the 75th percentile?{1, 3, 3, 4, 6, 7, 7, 7,
8, 9, 9, 10, 12, 15, 16, 17}
75th Percentile = 10.50 which is also the 3rd Quartile
6. Which of the following data values is the 50th percentile?{1.52, 5.36, 6.79, 5.21,
0.28, 6.36, 8.47, 5.52, 6.26, 5.97}
50th Percentile= 5.74
7. What is Q3 for the following data set?{20, 40, 50, 65, 70, 75, 80, 100}
Q3= 76.25
8. Which of the following data values is the 50th percentile?{1.52, 5.36, 6.79, 5.21,
0.28, 6.36, 8.47, 5.52, 6.26, 5.97}
50th Percentile = 5.74
9. What is Q3 for the following data set?{20, 40, 50, 65, 70, 75, 80, 100}
Q3= 76.25
10. The wheat production (in Kg) of 20 acres is given as: 1120, 1240, 1320, 10,40,
1080, 1200, 1440, 1360, 1680, 1730, 1785, 1342, 1960, 1880, 1755, 1720,
1600, 1470, 1750, and 1885. Find the quartile deviation and coefficient of
quartile deviation.
Quartile Deviation = Q3-Q1 /2 = 1750-1240 /2 = 1130
Coefficient of Quartile deviation = Q3-Q1/Q3+Q1= 1750-1240/1750+1240= 510/2990=0.170
11. Find the quartiles of the following data: 3, 5, 6, 7, 9, 22, 33.
count 7.000000
mean 12.142857
std 11.111984
min 3.000000
25% 5.500000
50% 7.000000
75% 15.500000
max 33.000000
12. Find the Quartiles of the following marks:- 21, 12, 36, 15, 25, 34, 25, 34
count 8.000000
mean 25.250000
std 9.003967
min 12.000000
25% 19.500000
50% 25.000000
75% 34.000000
max 36.000000
13. Find the median, lower quartile, upper quartile and interquartile range of the
following data set of scores:
18 20 23 20 23 27 24 23 29
Lower Quartile=20
Upper Quartile=24
IQR=q3-q1 = 24-20 = 4
14. Construct a box plot for the following data: 12, 5, 22, 30, 7, 36, 14, 42, 15, 53,25
15. Draw a box plot for the following set of data. Remember to order the data first, if
necessary. 1, 0, 3, 2, 1, 1, 7, 8, 6, 6, 7, 7
16. Draw a box plot for the following set of data. Remember to order the data first, if
necessary.4.7, 3.8, 3.9, 3.9, 4.6, 4.5, 5
17. For the following list of numbers, draw a box and whisker plot showing outliers
and extreme values:10, 12, 12, 14, 15, 16, 18, 30
18. For the following list of numbers, draw a box and whisker plot showing outliers
and extreme values: -6, 4.5, 5.5, 6.5, 8.5, 10, 12, 30
19. For the following list of numbers, draw a box and whisker plot showing outliers
and extreme values:16, 55, 78, 80, 81, 82, 84, 86, 88, 90, 105
20. Create a box-and-whisker plot to display the data below.
45, 58, 34, 42, 52, 49, 50, 45, 51