Median

Q. The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x +2, 72, 78, 84, 95

Q.

What are the three types of average?

Q. The middle value of a numerically ordered data set is called median.

1. True
2. False

Q.

Find the median of the following data:

(iii) $7,4,2,5,1,4,0,10,3,8,5,9,2$

Q.

The height of 10 students in a class are (in cm):-

135, 143, 132, 149, 150, 143, 158, 124, 143, 152

Pick the correct statements?

1. 135

2. 143

3. 152

4. 150

Q. Draw a right angled ∆ XYZ. Draw its medians and show their point of concurrence by G.

Q.

A child says that the median of $3,14,18,20,5$ is $18$. What doesn’t the child understand about finding the median?

Q. The median of x, x+3, x+5, x+7, x+10 is 9, the value of second observation is _______.

1. 5
2. 6
3. 7
4. 8

Q. What is the median of the following numbers? 10, 71, 39, 42, 39, 76, 38, 25 Options: Should have chosen 39 Wrong 42.5 42 35.5

Q. Consider the following conclusions regarding the median of a data set.

Conclusion I : The number of data points lies before and after the median may or may not be equal.

Conclusion II : After arranging the data set in ascending order, the data points belong to the left of median are greater than the median, whereas the data points belong to the right of the median are less than the median.

1. Only conclusion I is wrong.
2. Only conclusion II is wrong.
3. Both conclusions are wrong.
4. Both conclusions are correct.

Q.

Find the median of following data set.
12, 6, 87, 9, 54, 23, 43, 19, 56, 34, 69, 74

1. 38.5
2. 40.5
3. 39.5
4. 34 and 43

Q.

Find the median of the following data :

$15,6,16,8,22,21,9,18,25$

Q.

Find the median of:

First nine odd prime numbers.

Q. Seven of the eight numbers in a distribution are
11, 16, 6, 10, 13, 11, 13
Given that the median of the distribution is 12, find the mean of the distribution.

The answer is 11.6 but I want to know how to solve this.

Q.

You want to compare the number of words per sentence in a sports magazine to the number of words per sentence in a political magazine

The data represent random samples of the number of words in 10 sentences from each magazine. Compare the samples using measures of center and variation. Can you use the data to make a valid comparison about the magazines? Explain.
Sports magazine: 9, 21, 15, 14, 25, 26, 9, 19, 22, 30
Political magazine: 31, 22, 17, 5, 23, 15, 10, 20, 20, 17

Q. _______ is the value of middle most observation(s).

1. Mean
2. Median
3. Range
4. Mode

Q.

Median is the value of that observation, which divides the data into two ___________.

Q. Median of the numbers 3, 4, 5, 6, 7 is:

1. 5
2. 7
3. 4
4. 6

Q. Determine whether the given statement is true or false.

"The median is always one of the values given in the data set."

1. False
2. True

Q. If the median of the data set 34, 37, 43, 50, x is 37 then the value of x is always _______.

1. less than or equal to 37
2. less than 34
3. greater than 50
4. lies in between 37 and 43

Q. Consider the following observations regarding the median of a data set.

Observation I : The median is defined only for categorical data.

Observation II : For an odd number of data points, median is the central value of the ordered data set, whereas for an even number of data points, median is the mean of two central values of the ordered data set.

Observation III : Unlike mode, median may or may not be one of the entries of the data set.

1. Only observations I and II are correct.
2. Only observation II is correct.
3. Only observations II and III are correct.
4. All the observations are correct.

Q. The scores in mathematics test (out of 25) of students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?

Q. The observations in the data set given below are arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x+2, 72, 78, 84, 95

1. 60
2. 61
3. 62
4. 63

Q. The points scored by a basketball team in a series of matches are as follows.
17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28
Find the median and mode of the data.

Q. Q.1. A number is 6 more than the average of, its half, its one-third and its one-sixth. Find the number.

Q. The number of blankets manufactured on different days of a week is given as follows:


The median of this data set is $28$. For the given data set, choose the correct representation.

1. 
2. 
3. 
4. 

Q. Half of the total number in an ordered set have values less than the $\underset{–}{P}$ and values greater than the $\underset{–}{Q}$. Choose the correct condition from the following.

1. $\begin{array}{ccc}& P& Q\\ & Median& Median\end{array}$
2. $\begin{array}{ccc}& P& Q\\ & Mean& Mean\end{array}$
3. $\begin{array}{ccc}& P& Q\\ & Mean& Median\end{array}$
4. $\begin{array}{ccc}& P& Q\\ & Median& Mean\end{array}$

Q. Find the average of all the number between $6$ and $34$ which are divisible by $5$.

1. $20$
2. $30$
3. $24$
4. $18$

Q.

What is the median of the following data: 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

1. 4

2. 4.5

3. 5

4. 7

Q.

Which of the following is/are a measure of central tendency?

1. Frequency

2. Median

3. Mean

4. Class Limit