Answer:
a. 4.33.
Step-by-step explanation:
If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25
Sample size (n) = 100 questions
The standard deviation of a proportion 'p' is given by:

Applying the given data:

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

The standard deviation of X is 4.33 questions.
Answer:
3.7 + r < 1.2
Step-by-step explanation:
a number r added to 3.7 is 3.7 + r
New expression 3.7 + r should be less than 1.2 --->
3.7 + r < 1.2
Answer:
Multiply 20 by 3/5
Step-by-step explanation:
<em>"of" mean to multiply</em>
20 "of" 3/5 equal 12 OR 20 x 3/5 = 12
(a.)
Mean= sum / n
Mean= (123+116+122+110+175+126+125+111+118+117) / 10
Mean=1243 / 10
Mean= 124.3
Median:
Rearranged the data in order first
110,111,116,117,118,122,123,125,126,175
118 and 122 are at the middle
Median=1/2(n1 + n2)
Median=1/2(118+122)
Median=240/2
Median= 120
(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).