Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?

135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.

Question

Mathematics

Raymond

12 May, 23:14

Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?

135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.

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Answers (1)

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Zack · Answer 1

The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85) : 12 = 111.166

The smallest value : 69

The greatest value : 161

s² = ∑ (x i - x) ² / (n - 1)

s² = (568.274 + 1613.3 + 1777.97 + 971.32 + 2193.42 + 1667.4 + + 2483.42 + 230 + 117.38 + 46.7 + 584 + 684.66) : 11

s² = 1176.1676

s = √s² = √1176.1676

s (Standard deviation) = 34.295

All the values fall within 2 standard deviations:

x (Mean) - 2 s and x + 2 s

Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.

Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?

135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.