Question:
What is the median of the following distribution? \[ \begin{array}{|c|c|} \hline x_i & f_i \\ \hline 8 & 4 \\ 9 & 6 \\ 10 & 2 \\ 11 & 3 \\ 12 & 7 \\ 13 & 6 \\ 14 & 4 \\ \hline \end{array} \]
What is the median of the following distribution? \[ \begin{array}{|c|c|} \hline x_i & f_i \\ \hline 8 & 4 \\ 9 & 6 \\ 10 & 2 \\ 11 & 3 \\ 12 & 7 \\ 13 & 6 \\ 14 & 4 \\ \hline \end{array} \]
Show Hint
To calculate the median for a grouped frequency distribution, find the cumulative frequency and use the formula for the median class.
Updated On: Apr 19, 2025
- 13
- 12
- 11
- 10
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
To find the median, we first calculate the cumulative frequency and find the class containing the median. Then, use the median formula to compute the value.
Was this answer helpful?
0
0
Top Questions on Statistics
- The mean deviation from the median for the following data is:
\[ \begin{array}{c|ccccc} x_i & 9 & 3 & 7 & 2 & 5 \\ f_i & 1 & 6 & 2 & 8 & 4 \\ \end{array} \]- AP EAPCET - 2025
- Mathematics
- Statistics
- Two students appeared simultaneously for an entrance exam. If the probability that the first student gets qualified in the exam is \( \frac{1}{4} \) and the probability that the second student gets qualified in the same exam is \( \frac{2}{5} \), then the probability that at least one of them gets qualified in that exam is
- AP EAPCET - 2025
- Mathematics
- Statistics
Variance of the following discrete frequency distribution is:
\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class Interval} & 0-2 & 2-4 & 4-6 & 6-8 & 8-10 \\ \hline \text{Frequency (}f_i\text{)} & 2 & 3 & 5 & 3 & 2 \\ \hline \end{array} \]- AP EAPCET - 2025
- Mathematics
- Statistics
- The mean and variance of the observations \( x_1, x_2, x_3, \dots, x_{15} \) are respectively 2 and 4. If the mean and variance of the observations \( Y_1, Y_2, \dots, Y_{10} \) are respectively 2 and 5, then the variance of the observations \( x_1, x_2, \dots, x_{15}, Y_1, Y_2, \dots, Y_{10} \) is:
- AP EAPCET - 2025
- Mathematics
- Statistics
- The mean and variance of the observations \( x_1, x_2, x_3, \dots, x_{15} \) are respectively 2 and 4. If the mean and variance of the observations \( Y_1, Y_2, \dots, Y_{10} \) are respectively 2 and 5, then the variance of the observations \( x_1, x_2, \dots, x_{15}, Y_1, Y_2, \dots, Y_{10} \) is:
- AP EAPCET - 2025
- Mathematics
- Statistics
View More Questions
Questions Asked in NPAT exam
- A can draw 10 illustrations in 5 days. B is three times as productive in twice the amount of time (in comparison to A). How many illustrations can B draw in a day?
- NPAT - 2025
- Time and Work
- Based on the given image, which of the following options must be true?
- NPAT - 2025
- Visual Reasoning
- A, B and C have some marbles. The ratio of the number of marbles with A to the number with B is 2:1. Also, the number of marbles with A to the number with C is 1:4. What is the approximate percentage of the total number of marbles that are with C?
- NPAT - 2025
- Percentages
- If \( p \) and \( q \) are numbers such that the pair of linear equations \( (p + 2)x + (q - 1)y = 10 \) and \( (q + 2)x + (p - 1)y = 10 \) have infinite solutions for \( x \) and \( y \), then \( p = q \).
- NPAT - 2025
- Linear Equations
- If \( x \), \( y \), and \( z \) are positive integers and \( p = \left( \left( (x - 1)^2 / |x| \right) + 2 \right) + \left( \left( (y - 1)^2 / |y| \right) + 2 \right) + \left( \left( (z - 1)^2 / |z| \right) + 2 \right), \) then \( p<6 \).
- NPAT - 2025
- Algebra
View More Questions