All Exams Test series for 1 year @ ₹349 only
Question

Calculate the median using the following data.

Lower class boundary of the median class = 40

Total frequency = 120

Frequency of the median class = 35

Less than cumulative frequency of the post median class = 37

Class width = 20

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

53.14

The median is calculated using the formula: Median = L + ((N/2 - F) / f) * h Where L is the lower class boundary of the median class, N is the total frequency, F is the cumulative frequency of the class before the median class, f is the frequency of the median class, and h is the class width. Substituting the values, we get: Median = 40 + ((120/2 - 37) / 35) * 20 = 53.14. Therefore, option 4, "53.14," is the correct answer.

Was this answer helpful?

Similar Questions

  1. The ______ is an unbiased estimator of the population mean.

  2. If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:

  3. How many employees get salaries less than Rs 30,000?

    Salary Data of Employees in a Company

    The following data shows salaries of all the employees of a company:

    Salary (in Rs.) / वेतन (रुपये में)0 - 10,00010,001 - 20,00020,001 - 30,00030,001 - 40,00040,001 - 50,000
    Number of Employees / कर्मचारियों की संख्या235105504020
  4. Calculate the standard deviation if the mean of a certain set of observations is 20 and the mean of the squares of the same observations is 500.

  5. Calculate the coefficient of range for the following set of data: 3, 6, 6, 8, 9 and 12.

  6. If the mean of a certain set of data is 16 and variance is 4, then find the coefficient of variance.

  7. If a set of points represent probability density, then the third central moment is the ___________.

  8. What is the mean of a data if its Pearson's coefficient of skewness is 0.25, standard deviation is 6 and mode is 18?

  9. Coefficient of Kurtosis β2 = ____________, where μ2 and μ4 are the second and fourth moments about mean.

  10. Find regression coefficient of y on x (byx) if correlation coefficient between x and y values is 0.75 and standard deviation of x and y are 5 and 6.4 respectively.


Important Questions from Statistical estimation

  1. In a random sample of $x=16$, the mean ($\bar{x}$) is 40, and the standard deviation (sd) is 4.0. The 95% confidence interval ($Z=1.96$) for the mean is :
  2. The ______ is an unbiased estimator of the population mean.

  3. If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:

  4. How many employees get salaries less than Rs 30,000?

    Salary Data of Employees in a Company

    The following data shows salaries of all the employees of a company:

    Salary (in Rs.) / वेतन (रुपये में)0 - 10,00010,001 - 20,00020,001 - 30,00030,001 - 40,00040,001 - 50,000
    Number of Employees / कर्मचारियों की संख्या235105504020
  5. Calculate the standard deviation if the mean of a certain set of observations is 20 and the mean of the squares of the same observations is 500.

Need Expert Advice?
Upcoming Exams
SSC CPO
November 23, 2026
SSC CHSL
November 30, 2026
Test Series
SSC CGL img
SSC
SSC CGL (Tier I + Tier II) 2026 Mock Test Series - Latest Pattern
2509 Tests 6 Tests Free
8926 Attempts
4.2(946)
English, Hindi
More Questions from SSC CGL

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App