QUESTION IMAGE
Question
a check of prices charged for single vision eye glasses at 20 optical centers resulted in the following dollar amounts. 190 159 166 171 195 207 141 173 203 161 183 181 198 210 122 170 196 181 195 203 what is the shape of the distribution using intervals of 10? skewed left skewed right approximately normal uniform
Step1: Order the data
First, order the data from smallest to largest:
122, 141, 159, 161, 166, 170, 171, 173, 181, 181, 183, 190, 195, 195, 196, 198, 203, 203, 207, 210.
Step2: Create frequency table with interval of 10
| Interval | Frequency |
|---|---|
| 140 - 149 | 1 |
| 150 - 159 | 1 |
| 160 - 169 | 2 |
| 170 - 179 | 3 |
| 180 - 189 | 3 |
| 190 - 199 | 4 |
| 200 - 209 | 3 |
| 210 - 219 | 1 |
Step3: Analyze the shape
The left tail (values like 122,141,159) is relatively short compared to the right tail (values like 207,210). In a skewed - right distribution, the tail is on the right side. The majority of the data is on the left side of the distribution.
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skewed right