Question

17. Which of the following is TRUE? ( 5 points) a. The mean tells us, roughly, how much the data deviate from the average. b. The mean is the more reliable measure of center because it is not affected by extreme values ( outliers) c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation. d. The standard deviation is calculated by adding the data values and dividing the total by the number of data values.

Answer 1

Answer:

c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.

Step-by-step explanation:

(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.

(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.

(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.

(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.

Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.