The following data represents the weekly wages (in ₹) of the employees. Find the arithmetic mean of the weekly wages (in ₹). Weekly wages
(in ₹)900 1000 1100 1200 1300 1400 1500 Number of employees 12 12 14 13 14 11 14
₹1204.44
Weighted mean: \(\dfrac{\sum(\text{wage}\times\text{frequency})}{\sum\text{frequency}}\).
Sum of frequencies: \(12+12+14+13+14+11+14 = 90\).
Sum of products: \(900(12)+1000(12)+1100(14)+1200(13)+1300(14)+1400(11)+1500(14)\) = \(10800+12000+15400+15600+18200+15400+21000 = 108{,}400\).
Mean: \(\dfrac{108{,}400}{90} \approx 1204.44\).
Hence, the arithmetic mean of the weekly wages is ₹1204.44.
Similar Questions
- The following observations are arranged in ascending order. If the median of the data is 19, then find the value of x.
6, 9, 15, x + 4, x + 8, x + 12, 30, 32 - The marks scored by 10 students are given below.
17, 19, 12, 20, 19, 14, 15, 18, 19, 14
The mode of the given data is: - Let a set S = {1, 2, 2, 3, 3, 3, 4, 4, 4, 4}. Then the value of $4 \times \text{mean} + 2 \times \text{mode} - 8 \times \text{median}$ is:
- The weights (in kg) of 7 men are 64, 63, 62, 65, 67, 66 and 61. The median weight is:
- Which of the following CANNOT take a negative value?
- The given data is arranged in ascending order and its median is 17. Find the value of $x$.
$8, 10, 12, 15, x, x + 2, 20, 25, 30, 32$ - Find the sum of the mean, median and mode of the given data.
$9, 35, 20, 25, 25, 15, 25$ - In the given data if 30 is replaced by 100 then find the difference of the two medians.
80, 90, 40, 30, 20, 10, 70, 60, 50 - Find the mean height of persons from the following data.
Height (cm) Number of persons 120 3 130 4 140 5 150 6 160 2 - If the mean of the following data is k, then find the value of k.
Value 3 2 k 4 5 Frequency k 2k 3k 4k 5k
Important Questions from Elementary Statistics
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
