Question

Jason is the captain of his basketball team. The list below shows how many points Jason scored in each of the first 10 games of the season.
18, 23, 14, 26, 16, 10, 12, 24, 14, 13
Range: 16
Mean: 17
Mode: 14
If Jason scored 40 points on his next game, would it be an outlier for his first 11 games? Explain. How would a score of 40 affect the range, mean, median, and mode of Jason scored points?

Answer 1

Answer:

Range and mean is much affect but median and mode is not much affected.

Step-by-step explanation:

Jason's scores in first 10 games are : 18, 23, 14, 26, 16, 10, 12, 24, 14, 13

Now, if Jason score is 40 points in next game it wll be outlier since it's distance is large from other scores of game. It will affect mean and mode large but didn't affect median large as Median and Mode is not much affected by Outliers. We can see the difference:

The new Range will be: Largest Score - Smallest score

                                      = 40 - 10 = 30 (Before it was 16 )

The new Mean will be: $\dfrac{Sum of all observation}{Total number of observation}$

 = $\dfrac{ 18+ 23 + 14 +26 +16 +10 +12 +24+ 14 + 13 +40}{11}$

 = 19.1 (before it was 17)

The new Median will be = [tex](\frac{11+1}{2})th term

 = 6th term = 16 (Before it was 15)

The new Mode will be = 14  ( Same as before)