If the mean of a set of 7 observations is 10 and the mean of a set of 3 observations is 5, then what is the combined mean?
8.5
Sum of the 7 observations \(=7\times10=70\). Sum of the 3 observations \(=3\times5=15\). Combined mean \(=\dfrac{70+15}{7+3}=\dfrac{85}{10}=8.5\).
Which one of the following pairs is correctly matched?
If average weekly wages earned by a worker is Rs. 3,520, then what is the value of k?
What is the median (approximate value) of the distribution?
Which one of the following measures of central tendency will be used to determine the average size of the shoe sold in the shop?
The average weekly wages of male employees in a company is ₹4,200 and that of females is ₹3,200. If the average weekly wage of all employees is ₹4,000, what is the ratio of male to female employees?
Consider the observations x, x + 4, 30, 33, 74, 78, 49, 52, 98, 85. If the median of the data is 67, then what is the value of x?
If the heights (in cm) of 9 students of a class are 150, 165, 145, 149, 150, 147, 152, 144 and 148, then what is the algebraic sum of the heights measured from their arithmetic mean?
If the mean of 15 observations, namely \(x_1, x_2, x_3, \ldots, x_{15}\) is 2.5, then what is the value of \(\displaystyle\sum_{i=1}^{15}\left[5(4x_i+1)\right]\) ?
Consider the following discrete grouped data:
| x | f |
|---|---|
| 12 | 6 |
| 14 | 8 |
| 10 | 10 |
| 16 | 9 |
| 18 | 3 |
What is the arithmetic mean of the above distribution?
A cyclist pedals from her house to her office at a speed of 3 kmph and back from the office to her house at 6 kmph. What is the average speed?
A random sample of 20 people is classified in the following table according to their ages:
Age | Frequency |
15 – 25 | 2 |
25 – 35 | 4 |
35 – 45 | 6 |
45 – 55 | 5 |
55 - 65 | 3 |
What is the mean age of this group of people?
The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the above data. The new median is:
If the difference of mode and median is 36, then the difference of median and mean is:
In a Mathematics test 15 students scored 80 marks, 20 students scored 75 marks, 28 students scored 65 marks and 25 students scored 60 marks, mode of the score is:
If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?