Math- statistics - need help with problem 1-29 (a-d) - please fully explain the

Question

Math- statistics
- need help with problem 1-29 (a-d)
- please fully explain the answer to following question
- thank you

1- 29. Inspect each data set. Without making a calculation, decide if each statement about the data set is true or false. Explain how you decided. a. True or False: "The set of 24, 25 26, and 28 has a mean of 30." b. True or False: "The set of 0, 1,2, 2, 3, 3, and 4 has two modes." c. True or False: "15 is the median of this data set: 12, 14, 15, 13, and 16." d. True or False: "5 is the mode of 0,2,2,3,4,5 because it has the greatest value." Unit 1: Describing One-Variable Data 18

Explanation / Answer

a) False

Mean = (24 + 25 + 26 + 28)/4 = 25.75

b) True

2 and 3 both occurs the maximum number of times (two times) so 2 and 3 will be modes.

c) False

Median will be the 3rd term after arranging the data in ascending or descending order.

Arranging the data in ascending order: 12, 13, 14, 15, 16

So,

Median = 14

d) False

2 will be the mode since it is occuring with maximum frequency.

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