Question

8,576	1,401	1,910	9,057	2,508	11,641
621	14,138	6,581	1,887	2,874	1,383
10,708	7,628	4,100	4,428	754	2,170
3,726	5,910	8,472

Provide a five-number summary.

Smallest value
First quartile
Median
Third quartile
Largest value

Compute the lower and upper limits.

Lower limit
Upper limit

Answer 1

Five number summery: smallest value: 621 First Quartile Median is the bottom half of the the numbers are 621, 754, 1383, 1401, 1910, 2170, 2508, 2874, 3726 First Quartile = 1887 + 1901/2 = 1898.5 Q1 = 1898.5 Median: Arrange the data least to hight and take the average of middle two numbers so, median = 4100 Third Quartile: Median is the upper half of the numbers are 4428, 5910, 6581, 7628, 8472, 8576, 9057, 10708, 11641, 14138 so, Third Quartile = 8472 + 8576/2 Q3 = 8524 Maximum: Maximum = 14138 Lower limit = Q1-1.5(IQR) 1898.5-1.5(6625.5) [IQR = Q3-Q1] = 8524-1898.5 = 6625.5 Upperlimit = Q3 + 1.5(IQR) = 8524 + 1.5(6625.5) = 18462.25