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 mean, median, and mode of the battery life data?
a. mean: 47 median: 46.85 mode: 10, 47, 93
c. mean: 46.85 median: 47 mode: none
b. mean: 46.85 median: 47 mode: 10, 47, 93
d. mean: 47 median: 46.85 mode: none

Mean:
78 + 31 + 47 + 51 + 16 + 58 + 60 + 10 + 30 + 40 + 46 + 63 + 65 + 10 + 93 + 22 + 13 + 47 + 64 + 93 = 937

937 ÷ 20 = 46.85

Median:
10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78, 93, 93
• middle of the sequence ∧∧
Mode:
Number(s) that occur the most: 10, 47, and 93

Therefore, the answer is: b. mean: 46.85 median: 47 mode: 10, 47, 93

Answer Link

Anshuyadav Anshuyadav · Answer 2 · 2022-05-24T16:14:06+02:00

The mean of the given data is 46.85.

The mode of the given data is 47.

The median of the given data is 10, 47 and 93.

What is mean ?

The mean is the mathematical average of a set of two or more numbers.

Formula for mean

mean = sum of the given numbers/ total number of numbers

What is median?

Median is the middle number is a sorted list of the numbers.

Formula for median

for odd number of observations

Median = {(n + 1)/2}th term

for even number of observations

Median = [(n/2)th term + {(n/2)+1}th term}/2

where, n is the number of observations

What is mode?

The mode is the value that is repeatedly occurring in a given set or data.

According to the given question

we have a data

78, 31, 47, 51, 16, 58, 60, 10, 30, 40, 46, 63, 65, 10, 93, 22, 13, 47, 64, 93

Arranging the given data in ascending order

10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78 , 93, 93

Mean = (10+10+13+16+22+30+31+40+46+47+47+51+58+60+63+64+65+78+93+93)/20 = 937/20 = 46.85

Median =[(20/2)th term + {(20/2)+1}th term}]/2 = (10th term +11term)/2

= (47+47)/2 =47

Mode = 10, 47 and 93

Learn more about mean, median and mode here:

https://brainly.com/question/15323584

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