Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a random sample of 30 college students is selected. each student is ask…

Question

a random sample of 30 college students is selected. each student is asked how much time they spent on homework during the previous week. the following times (in hours) are obtained.
20, 23, 24, 21, 20, 19, 17, 16, 24, 18, 23, 16, 17, 25, 22, 21, 24, 19,
18, 19, 22, 25, 17, 20, 20, 19, 16, 18, 17, 25
construct a frequency distribution for the data.
hours studied freq.
15
16
17
18
19
20
21
22
23
24
25

Explanation:

Step1: Count the frequency of each value

  • For \(15\): \(0\) times (since \(15\) is not in the data set \(20, 23, 24, 21, 20, 19, 17, 16, 24, 18, 23, 16, 17, 25, 22, 21, 24, 19, 18, 19, 22, 25, 17, 20, 20, 19, 16, 18, 17, 25\))
  • For \(16\): Count the number of \(16\)s. There are \(3\) values of \(16\)
  • For \(17\): Count the number of \(17\)s. There are \(5\) values of \(17\)
  • For \(18\): Count the number of \(18\)s. There are \(3\) values of \(18\)
  • For \(19\): Count the number of \(19\)s. There are \(5\) values of \(19\)
  • For \(20\): Count the number of \(20\)s. There are \(4\) values of \(20\)
  • For \(21\): Count the number of \(21\)s. There are \(2\) values of \(21\)
  • For \(22\): Count the number of \(22\)s. There are \(2\) values of \(22\)
  • For \(23\): Count the number of \(23\)s. There are \(2\) values of \(23\)
  • For \(24\): Count the number of \(24\)s. There are \(3\) values of \(24\)
  • For \(25\): Count the number of \(25\)s. There are \(3\) values of \(25\)

Answer:

Hours StudiedFreq.
\(16\)\(3\)
\(17\)\(5\)
\(18\)\(3\)
\(19\)\(5\)
\(20\)\(4\)
\(21\)\(2\)
\(22\)\(2\)
\(23\)\(2\)
\(24\)\(3\)
\(25\)\(3\)