
Question Continuation:
Car 1,Car 2
227,240
209,237
237,212
229,227
209,251
261,159
251,208
251,260
282,169
250,269
254,296
254,312
271,307
259,287
262,277
What is the sample mean for car 1 and 2?
What is the median of car 1 and 2?
Answer:
Car 1
Mean = 247.067, Median = 251
Car 2
Mean = 247.4, Median = 251
Step-by-step explanation:
Given
N = Number of Observation = 15
Mean = Summation of Observation/N
For Car 1;
Mean = (227 + 209 + 237 + 229 + 209 + 261 + 251 + 251 + 282 + 250 + 254 + 254 + 271 + 259 + 262)/15
Mean = 3706/15
Mean = 247.067
For Car 2;
Mean =
(240 + 237 + 212 + 227 + 251 + 159 + 208 + 260 + 169 + 269 + 296 + 312 + 307 + 287 + 277)/15
Mean = 3711/15
Mean = 247.4
Calculating Median
For Car 1;
First, we arrange the numbers in ascending order;
209, 209, 227, 229, 237, 250, 251, 251, 254, 254, 259, 261, 262, 271, 282
The are odd number of observations.
Median = 15/2 = 8th position.
The observation at the 8th position is 251
For Car 2
159, 169, 208, 212, 227, 237, 240, 251, 260, 269, 277, 287 296, 307, 312
The are odd number of observations.
Median = 15/2 = 8th position.
The observation at the 8th position is 251