Median of Ungrouped Frequency Distribution

Q. Find the median of the given values:
26, 56, 32, 33, 60, 34, 17, 29, 45, 63

1. 39.5
2. 33.5
3. 33
4. 47

Q. If the median of the following data is 78, then the value of $x$ is .

44, 47, 63, 65, $x$ + 13, 87, 93, 99, 110.
(data is in ascending order)

1. 75
2. 65
3. 78

Q.

In the given frequency distribution, median term(s) is/are ______.
$\begin{array}{cc}Ageinyears& Numberofpeople\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

1. ${19}^{th}\&{20}^{th}$

2. ${21}^{st}$

3. ${20}^{th}\&{21}^{st}$

4. ${20}^{th}$

Q.

In the given frequency distribution, which is/are the median term(s)?
$\begin{array}{cc}Ageinyears& Numberofpeople\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

1. ${20}^{th},{21}^{st}$

2. ${21}^{st},{22}^{nd}$

3. only ${20}^{th}$

4. ${19}^{th},{20}^{th}$

Q. Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

1. p = 0, q = 10, r = 35, s = 42
2. p = 3, q = 13, r = 35, s = 42
3. p = 3, q = 13, r = 38, s = 45
4. p = 3, q = 13, r = 28, s = 35

Q.

Find the median of the following data distribution.
$\begin{array}{ccccccccc}Marksobtained& 20& 29& 28& 33& 42& 38& 43& 25\\ Numberofstudents& 6& 28& 24& 15& 2& 4& 1& 20\end{array}$

1. 28.5
2. 29
3. 30
4. 40

Q.

Find the median of the following data distribution.
$\begin{array}{ccccccccc}Marksobtained& 20& 29& 28& 33& 42& 38& 43& 25\\ Numberofstudents& 6& 28& 24& 15& 2& 4& 1& 20\end{array}$

1. 28.5
2. 29
3. 30
4. 40

Q.

Find the median of the following cumulative frequency distribution:
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 22& 1& 1\\ 34& 2& 3\\ 39& 2& 5\\ 45& 8& 13\\ 54& 8& 21\\ 56& 9& 30\\ 68& 4& 34\\ 78& 4& 38\\ 84& 2& 40\end{array}$

1. 49.5

2. 53.5

3. 54

4. 55

Q. Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

1. p = 0, q = 10, r = 35, s = 42
2. p = 3, q = 13, r = 28, s = 35
3. p = 3, q = 13, r = 35, s = 42
4. p = 3, q = 13, r = 38, s = 45

Q. Find the median term of the following cumulative frequency distribution:
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 22& 1& 1\\ 34& 2& 3\\ 39& 2& 5\\ 45& 8& 13\\ 54& 8& 21\\ 56& 9& 30\\ 68& 4& 34\\ 78& 4& 38\\ 84& 2& 40\end{array}$

1. 53.5
2. 49.5
3. 55
4. 54

Q. Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

1. p = 3, q = 13, r = 28, s = 35
2. p = 3, q = 13, r = 35, s = 42
3. p = 3, q = 13, r = 38, s = 45
4. p = 0, q = 10, r = 35, s = 42

Q. C.I{0-10, 10-20, 20-30, 30-40}, f {5, 7, 8, 9}- Calculate the cumulative frequency and match the following.

1. 29
2. 20
3. 5
4. 12