QUESTION IMAGE
Question
the table to the right gives the cost of living index (coli) for six east coast counties and six midwest counties (using an index where 100 represents the average cost of living for all participating cities with a population of more than 1.5 million). answer parts (a) through (e) below.
| east coast counties | midwest counties | ||
|---|---|---|---|
| b | 128.9 | v | 92.2 |
| c | 314.8 | w | 94.9 |
| d | 134.8 | x | 87.6 |
| e | 123.2 | y | 95.5 |
| f | 141.2 | z | 228.5 |
a. find the mean, median, and range for each of the two data sets.
the mean for the east coast counties is \\(\square\\).
(type an integer or decimal rounded to two decimal places as needed.)
Step1: Identify East Coast data
East Coast Counties data: 104.5, 128.9, 314.8, 134.8, 123.2, 141.2.
Step2: Calculate sum of data
Sum = \( 104.5 + 128.9 + 314.8 + 134.8 + 123.2 + 141.2 \)
\( = 104.5 + 128.9 = 233.4 \); \( 233.4 + 314.8 = 548.2 \); \( 548.2 + 134.8 = 683 \); \( 683 + 123.2 = 806.2 \); \( 806.2 + 141.2 = 947.4 \)
Step3: Calculate mean (sum / number of data points)
Number of data points = 6. Mean = \( \frac{947.4}{6} = 157.90 \)
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157.90