SOLUTION: size : 10,12,14,16,18,20
frequency: 3,7,?,20,8,5
mean is 15 find the missing frequency
Algebra.Com
Question 1206038: size : 10,12,14,16,18,20
frequency: 3,7,?,20,8,5
mean is 15 find the missing frequency
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
x = the missing frequency value
Given data
| Size | 10 | 12 | 14 | 16 | 18 | 20 |
| Frequency | 3 | 7 | x | 20 | 8 | 5 |
Or we can format the table like this
| Size | Frequency |
| 10 | 3 |
| 12 | 7 |
| 14 | x |
| 16 | 20 |
| 18 | 8 |
| 20 | 5 |
Multiply each size with its paired frequency. Then add up the results.
10*3 + 12*7 + 14*x + 16*20 + 18*8 + 20*5 = 14x+678
This is then divided over the total frequency (3+7+x+20+8+5 = x+43) to determine the mean.
mean = (14x+678)/(x+43) = 15
(14x+678)/(x+43) = 15
14x+678 = 15(x+43)
14x+678 = 15x+645
678-645 = 15x-14x
33 = x
x = 33
Answer: 33
RELATED QUESTIONS
from the following data find the missing frequency when mean is 15.38.... (answered by jsmallt9)
Find the mode from the following data with the help of the formula :
Size 8... (answered by greenestamps)
the data below are the scores of 30 students in their quiz 20 item quiz in mathematics... (answered by ikleyn)
find the mean, mode, median and range
1. 6, 13, 17, 14, 9, 13
2. 6, 15, 12, 17, 10... (answered by Fombitz)
Can someone please help me ASAP. I have in the process of relocating and have lost my... (answered by rfer)
The chart below shows the result of a survey taken of one section of an arena at a... (answered by rfer)
Diameter 12.0 Frequency 5 , Diameter 13.0 Frequency 11 Diameter 14.0 Frequency 24... (answered by Boreal)
Given the frequency distribution what is the standard deviation?
Class | Frequency... (answered by Theo)
Not sure if this is the right area, but could use some help. thank you for your time... (answered by stanbon)