Standard Deviation Display

A consumer price analyst claims that prices for liquid crystal display (LCD) computer monitors are normally distributed, with a mean of P7,600 and a standard deviation of P1,920. What is the probability that a randomly selected LCD computer monitor has a price greater than P7,700?

(a)  

The prices for several items at two stores are given below. Based on this data, which statement is true?

• The standard deviation for Store X is greater than the standard deviation for Store Y by about 0.03.

• The standard deviation for Store X is greater than the standard deviation for Store Y by about 0.3.

• The standard deviation for Store X is less than the standard deviation for Store Y by about 0.03.

• The standard deviation for Store X is less than the standard deviation for Store Y by about 0.3.

Using Chebyshev's theorem, what percent of the data in any data set lies within 7.5 standard deviations of the mean?

• 98.2%

• 86.7%

• 2.2%

• 13.3%

What does the "k" in Chebyshev's Theorem represent?

• Standard deviation

• The number of standard deviations from the mean

• Variance

• The number of standard deviations from the median

Approximately ​ (a)   of the data lies within 2 standard deviations of the mean.​

• 95%

• 50%

• 99.7%

• 68%

When comparing data sets, a higher Standard Deviation indicates...

• More consistency and less variability

• Less consistency and less variability

• More consistency and more variability

• Less consistency and more variability

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

What is the standard deviation on this Normal Curve?

• 6

• 12

• 34

• 18

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

• 1

• 2

• 3

• 4

Standard deviation is a measure of

• spread

• center

• shape

• outliers