Question

U A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular customer for the past 20 months. Use the given data to answer parts (a) and (b). 331 377 436 480 500 330 497 441 343 529 495 342 389 474 363 415 521 329 496 442 S (a) Determine the standard deviation and interquartile range of the data. (Round to two decimal places as needed.) IQR-(Type an integer or a decimal.) (b) Suppose the month in which the customer used 331 minutes was not actually that customer's phone. That particular month the customer did not use their phone at all, so minutes were used. How does changing the observation from 331 to 0 affect the standard deviation and interquartile range? What property does this illustrate? The standard deviation and the interquartile range What property does this illustrate? Choose the correct answer below. Resistance Weighted Mean Empirical Rule Dispersion

Answer 1

Dear student, we can solve one question at a time, please help to upload other questions separately. Here, I am answering question 1.

1.

a)

S.D = 70.73

IQR = Q3 - Q1 = 137.25

331 500 389 521 377 330 474 329 343 529 495 342 436 363 497 441 496 442 480 415 S.D Q1 70.73 STDEV.S(E4:17) 358 QUARTILE(E4:17,1) 495.25 QUARTILE(E4:17,3) 137.25 Q3 - Q1 Q3 IQR

b)

When 331 is replaced with 0, the standard deviation changes to 117.51 whereas the IQR remains unchanged at 137.25.

0 500 343 389 474 377 436 480 330 497 441 529 495 342 521 329 496 442 363 415 S.D Q1 117.51 STDEV.S(E4:17) 358 QUARTILE(E4:17,1) 495.25 QUARTILE(E4:17,3) 137.25 Q3 - Q1 Q3 IQR

This property illustrates dispersion as standard deviation got affected by changing one value whereas IQR remained unchanged.