Median for an Ungrouped Data

Q. Find the median for the following data,

2, 4, 5, 6, 7, 2, 7, 9

1. 7
2. 9
3. 6.2
4. 5.5

Q.

A number is $56$ greater than the average of its one-third, one-quarter, and one-twelfth. Find the number.

Q.

Calculate median from the data given below: $10,17,16,21,13,18,12,10$ .

Q. What is meaning of consecutive numbers ?

Q. To find the median we can arrange the data in ascending or in _______.

1. descending order.
2. random order
3. rising order
4. any order

Q. Find the median of the data: 1, 2, 7, 6, 8, 9, 10.

1. 7
2. 6
3. 8
4. 9

Q. Find the median for the following data.

7, 8, 9, 9, 10, 9, 7, 4

1. 7.5
2. 9.5
3. 10.5
4. 8.5

Q.

The mean of 100 observation was found to be 30. If two observation were wrongly taken as 25 and 13 instead of 24 and 12 , find the correct mean

1. 39.98

2. 29.98

3. 35.23

4. 30

Q.

The median of following data is:

8, 7, 6, 2, 1, 4

1. 3

2. 4.5

3. 4

4. 5

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

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

3. ${20}^{th},{21}^{st}$

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

Q.

Find the median of the following :

Minutes taken to write a test :

$15,18,9,10,10,12,8,9,16,12,13,11,8,9,14,15$

Q. Find the median of the data: 27, 28, 34, 45, 49, 57, 18, 10, 33, 41, 66, 79.

1. 37.5
2. 37
3. 41
4. 49

Q.

The mean and median of the following list of values are:
8, 9, 10, 10, 10, 11, 11, 11, 12, 13

1. 10.5, 10.5

2. 10.5, 11

3. 11, 13

4. 11, 10.5

Q. Median is the _____ of the given data.

1. middle score
2. extreme score
3. final score
4. any score

Q. Remember the mean formula and match the following.

1. $\sum x$
2. N
3. $\overline{x}$

Q.

Find the median of the given dataset:

16, 37, 38, 28, 45, 23, 76, 23, 83, 21

1. 34
2. 45
3. 23
4. 32.5

Q.

In a data, 14 numbers are arranged in ascending order. If the 9th entry is increased by 5, what will be the corresponding effect on the median?

Q. There are 96 students in a class and are arranged according to weight from lowest to highest. What are the median terms of the weight distribution?

1. ${48}^{th}$ term.
2. ${50}^{th}$ term
3. ${48}^{th}$ and ${49}^{th}$ term
4. ${49}^{th}$ and ${50}^{th}$ term

Q.

The median of following data is:

4, 5, 3, 3, 4, 3, 1

1. 4

2. 2

3. 5

4. 3

Q.

Find the median of the data: 15, 22, 9, 20, 6, 18, 11, 25, 14.

Q.

Four alternative options are given for each of the following statements. Select the correct option.

The median of 37, 83, 70, 29, 32, 42, 40 is:

A. 29

B. 30

C. 40

D. 42

Q. Median divides the given set of scores into _____.

1. two equal halves
2. three equal parts
3. four equal parts
4. five equal parts

Q. In an ordered set, half of them have values less than $\underset{–}{P}$ and half of them have values greater than $\underset{–}{Q}$. Choose the correct condition from the following.

1. $\begin{array}{ccc}& P& Q\\ \left(a\right)& Median& Median\end{array}$
2. $\begin{array}{ccc}& P& Q\\ \left(a\right)& Mean& Mean\end{array}$
3. $\begin{array}{ccc}& P& Q\\ \left(a\right)& Mean& Median\end{array}$
4. $\begin{array}{ccc}& P& Q\\ \left(a\right)& Median& Mean\end{array}$

Q. Mean is simply the average of the numerical data collected during an experiment.

1. False
2. True

Q.

The tallest player in a basketball team is 75 inches tall and the shortest player is 61 inches tall. Which conclusion about the heights of the team players is supported by this data?

1. The range is 14

2. The mean is 68

3. The mode is 75

4. The median is 68

Q. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set _________.
(Data is arranged in ascending order)

1. is increased by 2
2. is decreased by 2
3. is two times the original median
4. remains the same as that of the original set

Q. Median is always the best measures of central tendency.

1. False
2. True

Q. Median divides the given set of scores into two equal halves

1. False
2. True

Q. Question 3
A child says that the median of 3, 14, 18, 20 and 5 is 18. What does the child not understand about finding the median?

Q.

What is the median of following data?
34, 27, 45, 55, 22, 30, 40.

1. 34

2. 39

3. 35

4. 36