Standard Deviation Range Media Mode

The score distribution of Set A and Set B have equal mean but with different standard deviations. Set A has standard deviation of 2.80 while Set B has standard deviation of 3.30. Which statement is TRUE of the score distributions?

• Majority of the scores in Set B are clustered around the mean.

• Majority of the scores in Set A are clustered around the mean than in Set B.

• Scores in Set A are more widely scattered.

• The scores of Set B has less variability than the scores in Set A.

Select all the statements that correctly compare the two sets of data.

• The two distributions have the same shape.

• Both medians are between 60 and 70.

• At least 25% of both data sets are below 60.

• At least 25% of both data sets are above 80.

• The maximum of each data set is the same.

A batter in a cricket team scores the following in one season:

 

                        {0, 0, 5, 21, 23, 24, 34, 36, 47, 49, 49}

The standard deviation of these scores is: (correct to one decimal place)

• 18.7

• 18.6

• 17.9

• 17.8

There are 48 people at a party. The ages of a sample of 8 people are listed below.

 

15, 15, 16, 13, 14, 12, 17, 16

The standard deviation, correct to three significant figures, is :

• 48

• 1.56

• 2.44

• 1.67

Which measure of central tendency best represents this data?

• Mean

• Median

• Mode

• Range

What does the standard deviation tell us about the data set?

• How spread out the numbers are

• How much each number in the data set increases by

• How much each number in the data set decreases by

What percent of data lies within 1 standard deviation from the mean?

• 95%

• 99%

• 68%

• 100%

You have a mean of 56 and a standard deviation of 4.3. What is +2 standard deviations from the mean?

• 60.3

• 47.4

• 51.7

• 64.6

Which class has the higher median?

• 1st period

• 2nd period

• They have the same median

Which class did better on the test?

• 1st period

• 2nd period

• They both performed the same