Advertisements
Advertisements
Question
Find the mean of the following distribution:
x : | 10 | 12 | 20 | 25 | 35 |
F : | 3 | 10 | 15 | 7 | 5 |
Solution
x | f | fx |
10 | 3 | 30 |
12 | 10 | 120 |
20 | 15 | 300 |
25 | 7 | 175 |
35 | 5 | 175 |
N = 40 | `sumfx = 800` |
`∴ Mean (barx) = (sumfx)/N`
= `800/40 = 20`
x = 20
APPEARS IN
RELATED QUESTIONS
Find the mean of all factors of 10.
Find the mean of x, x + 2, x + 4, x +6, x + 8.
The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.
Find the median of the following observations : 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?
The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.
Mode is
If the mean of the following data is 20.2, then find the value of p.
xi | 10 | 15 | 20 | 25 | 30 |
fi | 6 | 8 | p | 10 | 6 |
If the mean of the observations: x, x + 3, x + 5, x + 7, x + 10 is 9, the mean of the last three observations is ______.
A football player scored the following number of goals in the 10 matches:
1, 3, 2, 5, 8, 6, 1, 4, 7, 9
Since the number of matches is 10 (an even number), therefore, the median
= `(5^("th") "observation" + 6^("th") "observation")/2`
= `(8 + 6)/2` = 7
Is it the correct answer and why?
The mean of the following distribution is 50.
x | f |
10 | 17 |
30 | 5a + 3 |
50 | 32 |
70 | 7a – 11 |
90 | 19 |
Find the value of a and hence the frequencies of 30 and 70.