consider the following data

Question

Consider the following data set consisting of test scores of students in a math class:

5	11	26	56	57	58	61	62	63
63	66	67	68	71	71	71	71	72
72	72	74	79	80	81	84	85	91

a. Obtain the five-number summary (i.e., Min, , median, , Max) for the data, , , , 

______ , _______ , ________ , ______ , ________

b. Calculate the lower and upper fences.

Lower fence:

Upper fence: 

c. Check for any outliers using fences. List the outliers separated by commas. If there are no outliers, type "DNE."

___________

g. Complete the following sentences.

The test score does not exceed __________  for 75% of the students in this class.

The test score is at least ________ for 75% of the students in this class.

Answer 1

The min is the smallest number

The max is the largest number

There are 27 numbers

The first quartile Q1 is the 25th percentile or the (n+1)/4 th number in the sequence, where n here = 27

The median is the 50th percentile or the (n+1)/2 nd number in the sequence

The third quartile Q3 is the 75th percentile or the (n+1) * 3/4 th number in the sequence

The interquartile range (IQR) is Q3 - Q1

The lower fence is Q1 - 1.5 * IQR

The upper fence is Q3 + 1.5 * IQR

Any number that lies outside the bounds of hose fences is an outlier

For g note that the 75th percentile is Q3.