Answered

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Kyle competes in 100 m wheelchair races. Hel
calculates the information below using his last 4
race times.
His minimum race time was 19.8 s.
The range of his race times was 5.6 s.
The median of his race times was 23.8 s.
The mode of his race times was 25.4 s.
If Kyle includes a new race time of 25.7 s in his
calculations, how much will the mean change
by?

Sagot :

Answer:

0.5s

Step-by-step explanation:

His initial mean would be calculated by:
His minimum race time = 19.8s

The maximum race time = 19.8 + 5.6 = 25.4s

Since the mode is also 25.4, there are 2 25.4s races.

Since the median is 23.8s and the number of race times is even, the final race time can be calculated by:

25.4- 23.8s = 1.6s

23.8-1.6 = 22.2s

So the race times are 19.8s, 22.2s, 25.4s and 25.4s.

This means that his initial mean was (19.8+22.2+25.4+25.4)/4 = (42+50.8)/4= 92.8 /4 = 23.2s

With the new race time, the equation will change to (92.8+25.7)/(4+1)= 118.5/5= 23.7s

So the mean change would be 23.7 - 23.2 = 0.5 s.

Hope this helps!

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