Marcus recorded the high temperature each day for a week. the daily high temperatures in degrees fahrenheit were: 68,74,66,78,72,80, and 74 which best describes what 74 represents in this data set? a. median only b. mean and mode c. median and mode d. mode only

The answer is C. median and mode.

Step-by-step explanation:

First, we have to ensure that the list of the set of data is from least to greatest: 66, 68, 72, 74, 74, 78, 80 .

The mean = (66 + 68 + 72 + 74 + 74 + 78 + 80) ÷ 7 = 512 ÷ 7 = 73.14 . (Note that the mean is not equal to 74.)

The median = middle number when the set of data is listed in order from least to greatest = the fourth number = 74.

The mode = the temperature that occurred the most = 74 .

These results prove that the median and mode best describe what 74 represents in the data set, because they are the same value.

89

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."