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5 votes
Which value is not part of the five-number summary for the following data set?

35, 23, 24, 30, 28, 23, 27, 33, 27, 34, 30, 30

A. 29
B. 23
C. 31.5
D. 24

User Gofvonx
by
5.1k points

1 Answer

2 votes

Answer:

D. 24

Explanation:

The 5-number summary of a data set includes ...

  • minimum
  • 1st quartile
  • median (2nd quartile)
  • 3rd quartile
  • maximum

Summary values

When the data are written in increasing order, they are ...

23 23 24 27 27 28 30 30 30 33 34 35

The minimum is the first value on the list, 23.

The first quartile is the average of the two middle values in the lower half of the data set: (24+27)/2 = 25.5.

The median is the average of the two middle values: (28+30)/2 = 29.

The third quartile is the average of the two middle values in the upper half of the data set: (30+33)/2 = 31.5.

The maximum is the last value on the list: 35.

Answer choices

A. 29 is the median

B. 23 is the minimum

C. 31.5 is the 3rd quartile

D. 24 is not part of the 5-number summary

User David Niki
by
5.4k points