Question

this list shows how many hours twenty batteries lasted when they ran continually in a flashlight. 78 31 47 51 16 58 60 10 30 40 46 63 65 10 93 22 13 47 64 93 what is the best frequency table for the battery life data? a. battery life hours tally frequency 0 - 10 || 2 20 - 30 || 2 40 - 50 |||| 4 60 - 70 || 2 80 - 90 || 2 b. battery life hours tally frequency 0 - 24 |||| 5 25 - 49 |||| 5 c. battery life hours tally frequency 0 - 19 |||| 4 20 - 39 |||| 3 40 - 59 |||| | 6 60 - 79 |||| 5 80 - 99 || 2 d. battery life hours tally frequency 0 - 20 |||| 4 20 - 40 |||| 4

Explanation:

Step1: Count data in each interval

• For \(0 - 19\): \(10,10,13,16\) → \(4\)
• For \(20 - 39\): \(22,30,31\) → \(3\)
• For \(40 - 59\): \(40,46,47,47,51,58\) → \(6\)
• For \(60 - 79\): \(60,63,64,65\) → \(4\)
• For \(80 - 99\): \(78,93,93\) → \(3\)

Step2: Check each option

• Option A: Intervals like \(0 - 10\) miss some data (e.g., \(13,16\) not in correct intervals).
• Option B: Intervals \(0 - 24\) and \(25 - 49\) are too broad and mis - group data.
• Option C: Correctly counts data in each interval as calculated.
• Option D: Incomplete intervals (only two intervals shown).

Answer:

C. Battery Life