Question

The ACT math scores of 15 high school seniors are listed below. 18, 15, 25, 24, 21, 16, 12, 20, 19, 25, 28, 25, 25, 29, 28 What is the mean?

Round your answer to 2 decimal places.)

What is the median?

What is the mode?

Describe the approximate shape of the distribution.

Select an answer

Answer 1

we in page-2 Soon First of all assarge the math scores ascending orders which 12, 15, 16, 18, 19, 20, 21, 24, 25, 25, 25, 25, 28, 28, 29 is we know that The smean Exi = i = 1,2,3 - 15 Here 2=15 and Exi= 330 so Mean = 330 15 =22 (from Result (2) Mean=22 => ) Mean = 22.00 22.00 Here we are given n=15 (odd number) teoms We also know that Medion for odd number of terms = th teom -2 Here n=15 Medion (15-47 term = 8 ton Median = 8 team th, = which is equal to 24 Median = 24 =) Median = 24:00

Page 2 Mode. The mode of a set of data Vallies is the Vallie that appears most often. So in our data 25 rebeats u times [Mode=25 95.00 so our l Mode Đ We know that this Result if Mean < Medion < Mode, Mode then the distribution is Left-skewed (Negative skewness). our problem Mean (22) < Median (24) L Mode(25) In So we conclude that the shape of the distribution js Left skewed (Negative Skewrets). Mode Median Mean Left-Skewed (Negative Skewhers )