10GM Chapter 10 Check In Quiz

• Lower quartile (Q1)

• Median (Q2)

• Upper Quartile (Q3)

• Maximum

Answer explanation

3, 4, 6, 6, 7, 8, 10
6 is the median

• 5
• 7
• 6
• 4

• 7 - 1.5 x 7.5

• 7 + 1.5 x 7.5

• 14 + 1.5 x 7.5

• 14.5 + 1.5 x 7.5

Answer explanation

Upper fence: Q3 + 1.5 x IQR

Consider the following dataset: 3, 4, 4, 5, 5, 5, 6, 8, 8, 10, 10, 11. The score of 6 should have been 7, what would this change?

• Median (Q2)

• Lower quartile (Q1)

• Upper quartile (Q3)

• IQR

For the five number summary: 8, 12, 15, 19, 22. The interquartile range is:

• 3

• 4

• 7

• 12

Answer explanation

IQR = 19 - 12 = 7

Using the boxplot, state the five number summary.

• 50, 35, 30, 15, 10

• 10, 15, 30, 35, 50

• 0, 15, 30, 35, 50

• 5, 10, 30, 35, 50

For the five number summary 8, 12, 15, 19, 22. What percentage of scores will lie between 8 and 19?

• 0%

• 25%

• 50%

• 75%

Answer explanation

Construct a boxplot using the five number summary and count how many segments are between 8 and 19 i.e., 3 segments that is equivalent to 75%

The boxplot can be best described as...

• Symmetrical

• Positively skewed

• Negatively skewed

• Skewed

Answer explanation

Median is more to the right and tails out on the negative side

From the cumulative frequency polygon, what is the interquartile range?

• 3

• 4

• 6

• 5

Answer explanation

Total frequency = 60
Quartiles at 25% and 75% of 60 i.e., 15 and 45
Therefore Q1 = 3, Q3 = 7
IQR = 7 - 3 = 4

From the dot plot, the five number summary is:

• 1, 4, 5, 7, 9

• 1, 4, 5.5, 7, 9

• 1, 4.5, 5, 7, 9

• 1, 4.5, 5.5, 7.5, 9