Questions: The following pulse rates were recorded for a group of 15 students. Find the mode.
82,84,70,72,75,68,86,75,74,69,74,79,81,90,76
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is/are
(Type an integer or a decimal. Use commas to separate answers as needed.) B. There is no mode.
Transcript text: The following pulse rates were recorded for a group of 15 students. Find the mode.
\[
82,84,70,72,75,68,86,75,74,69,74,79,81,90,76
\]
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mode's) isfare $\square$
(Type an integer or a decimal. Use commas to separate answers as needed.)
B. There is no mode.
Solution
Solution Steps
Step 1: Count the Frequency of Each Pulse Rate
The pulse rates recorded for the group of 15 students are:
\[
82, 84, 70, 72, 75, 68, 86, 75, 74, 69, 74, 79, 81, 90, 76
\]
Counting the occurrences of each value, we find the following frequencies:
\[
\text{Frequency} = \{75: 2, 74: 2, 82: 1, 84: 1, 70: 1, 72: 1, 68: 1, 86: 1, 69: 1, 79: 1, 81: 1, 90: 1, 76: 1\}
\]
Step 2: Identify the Maximum Frequency
The maximum frequency of occurrences is:
\[
\text{max frequency} = 2
\]
Step 3: Determine the Mode(s)
The pulse rates that occur with the maximum frequency are:
\[
\text{Modes} = \{75, 74\}
\]