Respuesta :
Answer:
Standard deviation gets smaller
Step-by-step explanation:
No. of students = 45
The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM.
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\56=\frac{Sum}{45}\\56 \times 45=Sum\\2520=Sum[/tex]
The teacher realized that the data from one student who typed 55 WPM was not entered.
So, new sum = 2520+55
New sum =2575
So, new mean =[tex]\frac{2575}{45}[/tex]
New mean =57.22
Standard deviation is the measure of distance between observation and mean
So, if number gets closer to mean , Standard deviation gets smaller . if the numbers get bigger , Standard deviation gets bigger.
Since 55 is closer to 57.22
So, Standard deviation gets smaller
