Question

10 The box plots summarize the high temperatures recorded in two different cities. The temperature was recorded for six days. Franklin: Troy: 4 + + 56 58 60 62 64 66 68 70 72 74 High Temperature + 76 78 Which statement best describes the data represented in the box plots? (6.13A, RS, RC4) F For half the days in Franklin, the high temperature was less than 64º. G For half the days in Troy, the high temperature was between 59° and 73°. H The range in high temperatures for Franklin is 18. The interquartile range for Troy is 11.

Answer 1

Here, we are given a box plot.

Given:

Franklin:

Median = 71

Lower quartile = 66

Upper quartile = 76

Lowest value = 63

Highest value = 77

Troy:

Median = 64

Lower quartile = 62

Upper quartile = 73

Lowest value = 59

Highest value = 77

The range is the difference between the lowest value and the highest value.

In a box plot the interquartile range can be said to be the difference between the lower quartile and the upper quartile.

Let's find the interquartile range for both Franklin and Troy.

Interquartile range:

Franklin = 76 - 66 = 10

Troy = 73 - 62 = 11

The interquartile range for Franklin is 10.

The interquartile range for Troy is 11

Therefore, the statement that best describes the data represented in the box plots is:

The interquartile range for Troy is 11

ANSWER:

J. The interquartile range for Troy is 11