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Question

The median of \(\frac{3}{7}\), \(\frac{3}{5}\), \(\frac{11}{13}\), \(\frac{14}{16}\) and \(\frac{17}{19}\) is _____.

This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
$\frac{11}{13}$

Fractions Presented

The set of fractions to analyze is:

  • \(\frac{3}{7}\)
  • \(\frac{3}{5}\)
  • \(\frac{11}{13}\)
  • \(\frac{14}{16}\)
  • \(\frac{17}{19}\)

Ordering the Fractions

To find the median, arrange the fractions in ascending order. This can be done by comparing their decimal values:

  • \(\frac{3}{7} \approx 0.428\)
  • \(\frac{3}{5} = 0.600\)
  • \(\frac{11}{13} \approx 0.846\)
  • \(\frac{14}{16} = 0.875\)
  • \(\frac{17}{19} \approx 0.895\)

The ordered list of fractions is:

\(\frac{3}{7}\), \(\frac{3}{5}\), \(\frac{11}{13}\), \(\frac{14}{16}\), \(\frac{17}{19}\)

Median Calculation

The median is the central value in an ordered dataset. With 5 values (an odd count), the median is the middle (3rd) value.

In the ordered sequence (\(\frac{3}{7}\), \(\frac{3}{5}\), \(\frac{11}{13}\), \(\frac{14}{16}\), \(\frac{17}{19}\)), the middle fraction is \(\frac{11}{13}\).

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  4. The data given below shows the number of people who have saved a certain amount of money.

    Saving (In Rs.)

    Number of people

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  5. If the ratio of mean and median of a certain data is 4 : 5, then find the ratio of its mean and mode.

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