problem archive
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The marks distribution of 30 students in a mathematics examination are given in Table 13.3 of Example 1. Find the mode of this data. Also compare and ... -
The following table shows the ages of the patients admitted in a hospital during a year: \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Age (in year... -
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components: \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline... -
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of t... -
The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Inter... -
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches. Find the mode of the... -
A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find... -
Suppose, we have to find the median of the following data, which gives the marks, out of 50, obtained by 100 students in a test: Marks obtained: 20, ... -
A survey regarding the heights (in cm) of 51 girls of Class X of a school was conducted and the following data was obtained: | Height (in cm) | Numb... -
The median of the following data is 525. Find the values of x and y, if the total frequency is 100. Class intervals | Frequency 0 - 100 | 2 100 - 200... -
A life insurance agent found the following data for distribution of ages of 100 policy holders. Calculate the median age, if policies are given only t... -
The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table: | Le... -
The following table gives the distribution of the life time of 400 neon lamps: \begin{array}{|c|c|} \hline \text{Life time (in hours)} & \text{Number ... -
100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets... -
The distribution below gives the weights of 30 students of a class. Find the median weight of the students. \begin{array}{|c|c|c|c|c|c|c|} \hline \tex... -
The mode for grouped data can be found by using the formula: $$\text{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right) \times h$$ -
The cumulative frequency of a class is the frequency obtained by adding the frequencies of all the classes preceding the given class. -
The median for grouped data is formed by using the formula: $$\text{Median} = l + \left( \frac{\frac{n}{2} - cf}{f} \right) \times h$$ -
A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. Kritika takes out a ball from the bag without looking ... -
Suppose we throw a die once. (i) What is the probability of getting a number greater than 4? (ii) What is the probability of getting a number less tha...