Question

The ages of randomly selected teacher at two schools are recorded. Their ages are as follows.

School A: 33, 28, 36, 27, 45, 23, 30, 42, 48, 50
School B: 27, 26, 48, 51, 49, 37, 33, 35, 52, 40
Which of the following statements is true?
1. The mean age of employees from School A is higher than the mean age of employees from School B.
2. The median age of employees from School A is lower than the median
age of employees from School B.
3. The range of ages of employees from School B is higher than the range of ages of employees from School A.
A. Statement 2 only.
B. Statements 1 and 3
C. Statements 1 and 2
D. Statements 2 and 3

Answer 1

[AI-generated answer — Bot GPT 3.5]

C. Statements 1 and 2

1. To calculate the mean age for employees from School A, we add all the ages together and divide by the total number of employees: (33+28+36+27+45+23+30+42+48+50)/10 = 36.2. To calculate the mean age for employees from School B, we get (27+26+48+51+49+37+33+35+52+40)/10 = 39.8. Therefore, the mean age of employees from School A is indeed lower than the mean age of employees from School B.

2. To find the median age for employees from School A, we first arrange the ages in ascending order: 23, 27, 28, 30, 33, 36, 42, 45, 48, 50. The median is the middle value, which in this case is 33. For School B, after arranging the ages in ascending order: 26, 27, 33, 35, 37, 40, 48, 49, 51, 52. The median is also 33. Therefore, the median age of employees from School A is lower than the median age of employees from School B.

3. To calculate the range of ages for employees from School A, we subtract the lowest age (23) from the highest age (50): 50 - 23 = 27. For School B, the range would be 52 - 26 = 26. Therefore, the range of ages for employees from School A is higher than the range of ages for employees from School B.

Therefore, the correct statements are 1 and 2.