On a separate piece of paper, make a grouped frequency table using the intervals 141 to 150,151 to 160 and so on. Use the table to answer these questions. (i) In which interval did most of the students guess? (ii) How manv studentc'

1. **Group the Data into Intervals**  a. List the intervals as specified. For example, if the guesses (or scores) lie between 141 and 190, you might form the following groups:   - \(141-150\)   - \(151-160\)   - \(161-170\)   - \(171-180\)   - \(181-190\) 2. **Tally the Data**  a. For each recorded guess (or value), place a tally mark in the appropriate interval.  b. Count the number of tally marks in each interval to obtain the frequency.  For example, suppose the completed grouped frequency table looks like: | Interval | Tally | Frequency | |--------------|--------------|-----------| | \(141-150\) | \(\vert\vert\) | 2 | | \(151-160\) | \(\vert\vert\vert\vert\vert\) | 5 | | \(161-170\) | \(\vert\vert\vert\) | 3 | | \(171-180\) | \(\vert\vert\) | 2 | | \(181-190\) | \(\vert\vert\vert\) | 3 | 3. **Answer the Questions**  (i) The question “In which interval did most of the students guess?” is answered by identifying the interval with the highest frequency. In the table above, the highest frequency is \(5\) in the interval \(151-160\).   Thus, the answer is:    “The most guesses occurred in the interval \(151-160\).”  (ii) The second part “How many students...” (presumably, “How many students guessed in the interval where most of the guesses occurred?”) is answered by reading the frequency for that interval.   In the table example, \(5\) students guessed in the interval \(151-160\). 4. **Summary of Answers**  \(\textbf{(i)}\) Most of the students guessed within the interval \(151-160\).  \(\textbf{(ii)}\) There were \(5\) students who guessed in that interval. *Note:* The numbers used in the example table are for illustration purposes. When you work with your actual data, replace the tally counts with those determined from your data to obtain the final answers.