Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.

So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.

So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.
It the answer would be 51.41
Answer:
a
, 
b

c

Step-by-step explanation:
From the question we are are told that
The sample data is 21, 14, 13, 24, 17, 22, 25, 12
The sample size is n = 8
Generally the ample mean is evaluated as



Generally the standard deviation is mathematically evaluated as



considering part b
Given that the confidence level is 90% then the significance level is evaluated as



Next we obtain the critical value of
from the normal distribution table the value is

The margin of error is mathematically represented as

=> 
=> 
The 90% confidence interval is evaluated as

substituting values


considering part c
Given that the confidence level is 95% then the significance level is evaluated as



Next we obtain the critical value of
from the normal distribution table the value is

The margin of error is mathematically represented as

=> 
=> 
The 95% confidence interval is evaluated as

substituting values


Answer:D
Step-by-step explanation:
Your welcome