High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Students at Arrowhead High School took an English test with a mean of 120 and a standard deviation of 25. Approximately 95% of the IQ scores are between ___ and ___.

a. 145
b. 170
c. 85
d. 95
e. 115
f. 70

Answer :

The correct options are (f) and (b). Students at Arrowhead High School took an English test with a mean of 120 and a standard deviation of 25. Approximately, 95% of the IQ scores are between 70 and 170 .

To determine the range where approximately 95% of the scores fall, we apply the Empirical Rule (68-95-99.7 rule) in a normal distribution. According to this rule, about 95% of the data lies within two standard deviations from the mean.

Given:
Mean = 120
Standard Deviation = 25

Range calculation:
Lower Bound = Mean - 2 * Standard Deviation
Upper Bound = Mean + 2 * Standard Deviation

Lower Bound = 120 - 2 * 25 = 120 - 50 = 70
Upper Bound = 120 + 2 * 25 = 120 + 50 = 170

Therefore, approximately 95% of the IQ scores are between 70 and 170.

From the options provided: a. 145 b. 170 c. 85 d. 95 e. 115 f. 70, the correct options are 70 and 170.