Step 1 :The problem states that the number of chocolate chips in an 18-ounce bag of Chips Ahoy! chocolate chip cookies is approximately normally distributed, with a mean of 1262 chips and a standard deviation of 118 chips.
Step 2 :The interquartile range (IQR) is a measure of statistical dispersion, being equal to the difference between the upper and lower quartiles. In a normal distribution, the first quartile (Q1) is approximately 0.675 standard deviations below the mean, and the third quartile (Q3) is approximately 0.675 standard deviations above the mean.
Step 3 :Therefore, the IQR can be calculated as follows: \(IQR = Q3 - Q1 = (mean + 0.675*std_dev) - (mean - 0.675*std_dev) = 2*0.675*std_dev\)
Step 4 :We can substitute the given mean and standard deviation into this formula to find the IQR. mean = 1262, std_dev = 118, IQR = 159.3
Step 5 :Round the IQR to the nearest whole number, we get \(round(IQR) = 159\)
Step 6 :Final Answer: The interquartile range of the number of chips in Chips Ahoy! cookies is approximately \(\boxed{159}\) chocolate chips.