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1. To estimate the median age of all students attending her university, a statis

ID: 3305268 • Letter: 1

Question

1. To estimate the median age of all students attending her university, a statistician selected a simple random sample of 21 students. Prior to going on vacation, the statistician was only able to collect data from 19 of those 21 students. The median age of the 19 students was 28 years. The last two students were 20 and 31 years of age, respectively. Based on this information, which of the following best describes the median age of all 21 students in the sample? (2 points) (A)27.7619 (B) 28 (C) less than 28 (D) more than 28 (E) Cannot be determined from the information provided

Explanation / Answer

Answer: (B) 28

The remaining 2 students are of the age 20 and 31. The sample size is an odd number. So, the median is the middle value. One is above the median calculated and one is below the median calculated. So, these values will not have any impact on median, as the number of values above and vbelow median remains the same. So, the median age of the students is 28