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The cumulative frequency diagram shows the times taken by the members of two
different clubs, The Braineys and The Cleverites, to complete an intelligence test.
Cumulative
a) Find the median and the
frequency
interquartile range for The Cleverites
80
60
b) State which club, on average, was
slowest at completing the test.
Give a reason for your answer.
40
The Cleverites
The Braineys
20
10
20
50
30 40
Time, in minutes

The Cumulative Frequency Diagram Shows The Times Taken By The Members Of Two Different Clubs The Braineys And The Cleverites To Complete An Intelligence Test Cu class=

Sagot :

Answer:

a) median=25 interquartile range=19

b) The Braineys as the median is 32 compared to 25.

Step-by-step explanation:

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The median and interquartile range for the cleverites are : 25 and 20 respectively.

The slowest club on average is the Braineys

From https://brainly.com/question/14724605?referrer=searchResults :

The median value for the cleverites :

The Median is the time at the midpoint of the frequency curve :

Median frequency = Cummulative frequency / 2

Median frequency = 80 /2 = 40

Tracing to the intersection point on the curve and reading the x - value at the point of intersection ;

  • Median for the Cleverites is 25

The interquartile range = (upper quartile - lower quartile)

Upper quartile = 3/4(Cummulative frequency) = 3/4(80) = 60

Upper quartile = 35 minutes

Lower quartile = 1/4(80) = 20

Lower quartile = 15 minutes

Interquartile range = (35 - 15) = 20 minutes

To obtain the slowest club on average, we could use the median :

Median for Cleverites = 25

Median for Braineys :

1/2(80) = 40

Time on the x axis corresponding to y = 40 is 32

Comparing the median values :

32 > 25

Braineys > Cleverites ;

The slowest on average at competing is Braineys as they have a higher completion time.

Learn more : https://brainly.com/question/14724605

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