contestada

One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 80. (a) If a data set has mean 70 and standard deviation 5, is 80 a suspect outlier? No, since 80 is more than 2.5 standard deviations above the mean. Yes, since 80 is more than 2.5 standard deviations above the mean. No, since 80 is less than 2.5 standard deviations above the mean. Yes, since 80 is less than 2.5 standard deviations above the mean. (b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier? No, since 80 is more than 2.5 standard deviations above the mean. Yes, since 80 is more than 2.5 standard deviations above the mean. No, since 80 is less than 2.5 standard deviations above the mean. Yes, since 80 is less than 2.5 standard deviations above the mean.

Respuesta :

Answer:

a) No, since 80 is less than 2.5 standard deviations above the mean; b) Yes, since 80 is more than 2.5 standard deviations above the mean.

Step-by-step explanation:

For part a,

The mean is 70 and the standard deviation is 5.  This means that 2 standard deviations above the mean is 70+5+5 = 80.

This means that 80 is not an outlier, as it is not more than 2.5 standard deviations above the mean.

For part b,

The mean is 70 and the standard deviation is 3.  This means that 2 standard deviations above the mean is 70+3+3 = 76; 3 standard deviations above the mean is 70+3+3+3 = 79.  80 is more than this, so yes, it is an outlier.

fichoh

No, since 80 is less than 2.5 standard deviations above the mean, it cannot be regarded as an outlier

Data 1 :

Mean = 70

Standard deviation = 5

Outlier = values which are 2.5 standard deviations from the mean:

In this case an outlier would be any value which does not fall in between :

Mean ± 2.5(Standard deviation )

70 ± 2.5(5)

70 - (12.5) ; 70 + (12.5)

(57.5 ; 82.5)

Hence 80 falls in between the two values, hence it is not an outlier.

80 is less than 2.5 standard deviations abibe the mean value, hence, it is not an outlier .

Learn more : https://brainly.com/question/4178500

Otras preguntas