Question

customers who buy an adventure game sold by an app store can give the game a rating from 1 star to 5 stars. the frequency table shows the number of 1 - star, 2 - star, 3 - star, 4 - star, and 5 - star ratings.
a. the game has a total of ______ ratings.
b. make a dot plot of the data set shown in the frequency table.

Explanation:

Step1: Count the number of ratings for each star

• For 1 - star: A tally mark of \(||||\ ||\) means \(5 + 2=7\)
• For 2 - star: A tally mark of \(||||\) means \(4\)
• For 3 - star: A tally mark of \(|\) means \(1\)
• For 4 - star: A tally mark of \(|||\) means \(3\)
• For 5 - star: A tally mark of \(||||\ ||\) means \(5+2 = 7\)

Step2: Sum up the number of ratings

$$7 + 4+1 + 3+7$$

$$=(7 + 4)+(1 + 3)+7$$

$$=11+4 + 7$$

$$=22$$

Answer:

a. \(22\)

For part b, to make a dot - plot:

• Draw a number line from \(1\) to \(5\)
• Above \(1\) on the number line, place \(7\) dots
• Above \(2\) on the number line, place \(4\) dots
• Above \(3\) on the number line, place \(1\) dot
• Above \(4\) on the number line, place \(3\) dots
• Above \(5\) on the number line, place \(7\) dots