Students from a statistics class were asked to record their heights in inches. T
ID: 3134352 • Letter: S
Question
Students from a statistics class were asked to record their heights in inches. The heights (as recorded) were as follows.
7, 53, 55, 58, 63, 64, 65, 66, 67, 67, 68, 68, 69, 70, 70, 71, 72, 74, 75, 76, 77, 77, 78, 83
(a) Which percentile is the value 68? (Round to the nearest whole value above.)
68 is the ------------ th percentile.
(b) Find the 90 th percentile on the data.
Locator = ---------------
90 th percentile = -------------------------
(c) Find the Q1 value on the data.
Locator = ----------------
Q1=-----------------------
(d) Find the Q3 value on the data.
Locator = ---------------------
Q3= -----------------------------------
(e) Find the Q2 value on the data.
Q2= -------------------------------
(f) Find the IQR of the data.
IQR= ------------------------------
(g) What are the Upper and Lower limits of the boxplot?
Upper Limit = -----------------------
Lower Limit = -------------------------------
(h) With five-number-summary (in the order Min - Q1 - Q2 - Q3 - Max) being 7 - 64.5 - 68.5 - 74.5 - 83, are there any outliers?
Outliers are 83, and
The only outlier is 7
The only outlier is 83
Outliers are 7, and 83.
No outliers
Explanation / Answer
a) 50 th percentile
b) locator 22 nd place. 90th percentile = 77
c) locator 6th number Q1 = 64
d) locator = 18 Q3= 77
e) Q2= 12th number. Median = Q2 = 68
f) IQR= Q3-Q1 = 13
g) lower limit 53 upper limit 78
h) outliers : 7 and 83