Question

question 13 (multiple choice worth 2 points) (effects of changes in data mc) the ages of a group of teachers are listed. 24, 32, 33, 35, 41, 42, 42, 43, 44, 51, 52, 53 if another teacher with an age of 45 is added to the data, how would the mean be impacted? the value of the mean would remain the same at about 41. the value of the mean would remain the same at about 44. the mean would increase in value to about 45.8. the mean would decrease in value to about 40.

Explanation:

Step1: Calculate original sum of ages

$24 + 32 + 33 + 35 + 41 + 42 + 42 + 43 + 44 + 51 + 52 + 53 = 492$

Step2: Find original mean

$\text{Original Mean} = \frac{492}{12} = 41$

Step3: Calculate new sum with added age

$492 + 45 = 537$

Step4: Find new mean

$\text{New Mean} = \frac{537}{13} \approx 45.8$

Step5: Compare means to select answer

New mean (45.8) > Original mean (41)

Answer:

The mean would increase in value to about 45.8.