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
Answers
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
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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
Related Questions
We did not recieve a diagram for this question.Radius of circle O has a slope of 2.5. What is the slope of the line tangent to circle O at point A? A)0.8 B)2.5 C)-0.4 D)-5
Using the completing-the-square method, find the vertex of the function f(x) = –2x2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point.. .
Carnie had an income of $29,520 last year. If the inflation rate is eight percent, what is her current purchasing power? Round to the nearest dollar.
Multiply: (6x - 1)(6x +1)
Answers
Answer:
The answer is $420
Step-by-step explanation:
The procedure is multiply the number 6000 by 63% and . The order of these multiplying doesn't matter.
The percentage number can be changed into a fraction number following the next rule:
Give a x number in a range from 0 to 100:
x%=
So,
63%=
Finally, the answer is $420
Hope that helped.
Answers
12/75 is a fraction.
Simplify
4/25
Multiply by 4
16/100
Since the denominator is now 100, you can say
0.16
Answers
Determine if the two ratios are equivalent in this problem
The two ratios are equivalent
Given:
4 over 6 times 14 over 21
Times mean multiplication (×) in mathematics
Over means division (÷ or /) in mathematics
So,
4 over 6 times 14 over 21
= 4/6 × 14 / 21
Equate both ratio
4/6 = 14/21
cross product
(4 × 21) = (6 × 14)
84 = 84
Therefore, the two ratios are equivalent
Read more:
Answers
99 = 21x + 15
84 = 21x
x = 4
There are four people in the family!
-3x=2)-(3
-5x-1)
Answers
x^2-3x+2-3x^2+5x+1=
x^2-3x^2-3x+5x+2+1=
-2x^2+2x+3
This problem can be split up into like terms. So, all of the terms containing x² would be put together, the terms containing just one x would be put together, and the terms without x's would be put together.
(x² - 3x²) = -2x²
(-3x - -5x) Simplify the double negative
(-3x + 5x) = 2x
(2 - -1) Simplify the double negative
(2 + 1) = 3
So, when you put those all together you get -2x² + 2x + 3.
4x2 + 40x + 100
4x2 + 100
4x2 − 40x + 100
Answers
(2x+10)(2x+10)
4x2 + 20x + 20x +100
4x2 + 40x + 100
Answer:
Step-by-step explanation:
Given the expression
we have to simplify the above expression.
By identity
Put a=2x and b=10
Option B is correct.