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On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount s

ID: 2929782 • Letter: O

Question

On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.

115

123

129

190

134

133

127

144  

125

100

124

104

196

135

89

115

154

128

81

180

148

88

115

81

170

72

107

156

(a)

Find the mean, median, and mode. (Round your answers to 2 decimal places.)

Descriptive
Statistics

     Data

  Count

  

  Mean

  

  Median

  

  Mode

  

(b)

Are the data symmetric or skewed? If skewed, which direction?

Symmetric

Skewed right

Skewed left

On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.

Explanation / Answer

115,123,129,190,134,133,127,144,125,100,124,104,196,135,89,115,154,128,81,180,148,88,115,81,170,72,107,156.

(a) Count = 28.

Mean = (115 + 123 + 129 + 190 + 134 + 133 + 127 + 144 + 125 + 100 + 124 + 104 + 196 + 135 + 89 + 115 + 154 + 128 + 81 + 180 + 148 + 88 + 115 + 81 + 170 + 72 + 107 + 156) / 28

= 127.25.

Median is the middle value.

Sorting the data

Median is the middle value = mean of 14th and 15th values = (125 + 127) / 2 = 126.

Mode is the most repeating value = 115.

(b)The mean and the median are nearly equal. Mode is to the left of the mean.

Also the values to the right of the mean and median are dispersed more.

The data is skewed right.

115,123,129,190,134,133,127,144,125,100,124,104,196,135,89,115,154,128,81,180,148,88,115,81,170,72,107,156.

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