Question

A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.

Answer 1

FALSE

Explanation:

A value three standards deviation from the mean is more likely to occur than a value two standard deviations from the mean.

Answer 2

A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.

Explanation:

Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.

Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;

95% of the data will fall within two standard deviations.

99.7% will fall within three standard deviations

Find the attachment below.

Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.