Question

The following data set represents the ACT scores for students in Mrs. Smith's collegescience class.18 32 16 2319 21 28 2922 30 19 21What is the median ACT score for the class? (Round your answer to the nearesttenth, if necessary.)

Answer 1

Given

Data set represents the ACT scores for students in Mrs. Smith's college

science class.

18 ,32 ,16, 23, 19, 21, 28, 29, 22, 30, 19, 21

Find

Median ACT score for the class.

Step-by-step explanation

To find the median , we need to arrange the data in an increasing or ascending order.

so ,

16 , 18 , 19 , 19 , 21 , 21 , 22 , 23 , 28 , 29 , 30 , 32

here number of terms = 12 , which is an even number

so , median =

`\begin{gathered} ((nth)/(2)+((nth)/(2)+1))/(2) \\ \\ ((12)/(2)th+((12)/(2)+1)th)/(2) \\ \\ (6th+7th)/(2) \\ \\ (21+22)/(2) \\ \\ (43)/(2)=21.5 \end{gathered}`

Final Answer

Hence , the median ACT score for the class is 21.5