Question

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 50 - 74 ||||| 6 75 - 99 |||| 4 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 40 - 60 ||||| 7 60 - 80 |||| 5 80 - 100 || 2

Explanation:

Step1: Count data in each range

Count the number of data - points that fall into each interval for each option.
The data set is: 78, 31, 47, 51, 16, 58, 60, 10, 30, 40, 46, 63, 65, 10, 93, 22, 13, 47, 64, 93.

Step2: Analyze option a

For option a:

• In the interval 0 - 10, the values 10, 10 are 2 values.
• In the interval 20 - 30, the values 22, 30 are 2 values.
• In the interval 40 - 50, the values 47, 40, 46, 47 are 4 values.
• In the interval 60 - 70, the values 60, 63, 65, 64 are 4 values (not 2 as in option a). So option a is incorrect.

Step3: Analyze option b

For option b:

• In the interval 0 - 24, the values 16, 10, 10, 22, 13 are 5 values.
• In the interval 25 - 49, the values 31, 47, 40, 46, 47 are 5 values.
• In the interval 50 - 74, the values 51, 58, 60, 63, 65, 64 are 6 values.
• In the interval 75 - 99, the values 78, 93, 93 are 3 values (not 4 as in option b). So option b is incorrect.

Step4: Analyze option c

For option c:

• In the interval 0 - 19, the values 16, 10, 10, 13 are 4 values.
• In the interval 20 - 39, the values 22, 30, 31 are 3 values.
• In the interval 40 - 59, the values 47, 40, 46, 47, 51, 58 are 6 values.
• In the interval 60 - 79, the values 60, 63, 65, 64, 78 are 5 values.
• In the interval 80 - 99, the values 93, 93 are 2 values. This option correctly counts the data - points in each interval.

Step5: Analyze option d

For option d:

• In the interval 0 - 20, the values 16, 10, 10, 13, 22 are 5 values (not 4 as in option d). So option d is incorrect.

Answer:

C. Battery Life

Hours	Tally	Frequency
20 - 39					3
40 - 59								6
60 - 79							5
80 - 99				2