Median

Q.

Question 2
During the medical check-up of 35 students of a class, their weights were recorded as follows:
$\begin{array}{cc}Weight\left(inkg\right)& Numberofstudents\\ Lessthan38& 0\\ Lessthan40& 3\\ Lessthan42& 5\\ Lessthan44& 9\\ Lessthan46& 14\\ Lessthan48& 28\\ Lessthan50& 32\\ Lessthan52& 35\end{array}$

Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph verify the result by using the formula.

Q.

Find the mode and median of the data: $13,16,12,14,19,12,14,13,14$

Q.

Find the mean and median for the data: $18,22,16,25,37,24,13,20,26,19$

Q. Find the mean of the first four prime numbers.

1. $4$
2. $4.5$
3. $3.25$
4. $4.25$

Q.

How do you find the 1st quartile?

Q. Question 12
A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows:

$\begin{array}{ccccc}87& 71& 83& 67& 85\\ 77& 69& 76& 65& 85\\ 85& 54& 70& 68& 80\\ 73& 78& 68& 85& 73\\ 81& 78& 81& 77& 75\end{array}$

Find mean, median and mode (mg/dl) of the above data.

Q.

The mean of $6,8,x+2,10,2x-1$ and $2$ is $9$. Find the value of $x$

1. $8$
2. $9$
3. $20$
4. $6$

Q.

Assertion: Median of the given data $34,31,42,43,46,25,39,45,32$, is $39$.
Reason: When the number of observations $\left(n\right)$ is even, then median is the mean of the ${\left(\frac{n}{2}\right)}^{th}$ and ${(\frac{n}{2}+1)}^{th}$ observations.
Which of the following is correct?

1. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion

2. Both Assertion and Reason are correct, but Reason is not the correct explanation for the Assertion

3. Assertion is correct but Reason is incorrect

4. Assertion is incorrect but Reason is correct

Q.

The median of any data lies between the _________ and _________ observations.

Q.

How to calculate quartiles?

Q.

The table shows the typical daily temperature of a city in the last 5 months. Which month has the median temperature?
$\begin{array}{cc}Month& Temperature{(}^{\circ }C)\\ January& 38\\ February& 48\\ March& 40\\ April& 46\\ May& 43\end{array}$

1. January

2. March

3. May

4. April

Q.

A football player scored the following number of goals in the $10$ matches:$1,3,2,5,8,6,1,4,7,9$ Since the number of matches is $10$ (an even number), therefore, the median $=\frac{\left[5thobservation+6thobservation\right]}{2}=\frac{8+6}{2}=7$ Is it the correct answer and why?

Q.

Find the median of 7 , 8 , 10 , 15, 18 , 25

1. 13.5

2. 11.5

3. 12

4. 12.5

Q. The following chart represents the height of boys and girls in a class. Which of the following is true about the given data?


\begin{tabular}{|c|c|} \hline Height of boys (in ft) & Height of girls (in ft) \\ \hline \( 4.2 \) & \( 4.1 \) \\ \hline \( 3.5 \) & \( 3.8 \) \\ \hline \( 4.9 \) & \( 3.5 \) \\ \hline \( 4.8 \) & \( 3.5 \) \\ \hline \( 4.2 \) & \( 3.6 \) \\ \hline \end{tabular}

Q.

Find the mode of the data :

$3,4,6,2,1,2,3,5,2,5$

Q. Pizza sales on two shops is given in the box and whisker plots. The median of two data set are

1. 40 and 70
2. 20 and 50
3. 50 and 80

Q.

The Median of 8, 10, 12, 14, 16 is

1. Statistics
2. Noteified Information
3. Data
4. None of these

Q. Choose the odd one.

1. Index number
2. Mode
3. Mean
4. Median

Q. Median of a data set is never equal to any of the data points.

1. True
2. False

Q.

The runs scored by a batsman in 10 matches are 34, 65, 23, 11, 28, 56, 87, 54, 98 and 12 respectively.
Find the median of the given data.

1. 44

2. 45

3. 46

4. 47

Q. Find the median of the following data set:

Q. The estimated mean mileage for the total number of vehicles to its nearest ones place is miles per gallon.

1. 6.5
2. 7
3. 8
4. 6

Q.

The mean and median of the numbers 1, 2, 3, 4, y, 8, 9, 10, 12 and x written in increasing order are both 10, then the values of x and y are:

1. $x=15,y=36$

2. $x=39,y=15$

3. $x=39,y=12$

4. $x=15,y=36$

Q. Raina goes to a theatre to watch her favorite animation movie. The front row of the theatre has 37 seats. She sat in a seat that occupied the median position of 37 seats.
Find her seat number.

1. 20
2. 19
3. 21
4. 17

Q.

The median of 35, 48, 45 is ___________

1. 23:21

2. 21:23

3. 2:1

4. 1:1

Q.

The heights (in cm) of 9 students of a class are
148, 144, 152, 155, 160, 147, 150, 149, 145.
Find the median height.

1. 150

2. 147

3. 149

4. 152

Q. The following data has been arranged in ascending order. If their median is $63$, find the value of $x$.

1. $65$
2. $62$
3. $70$
4. $68$

Q. Two numbers are in the ratio 5: 7. Their difference is 10. Find the numbers.

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

Conclusion I: Equal number of data point(s) lie before and after the median(s).

Conclusion II: The data point(s) belong(s) to the left of median(s) is/are less than the median, whereas the data point(s) belong(s) to the right of the median is/are greater than the median.

1. Only conclusion I is correct.
2. Only conclusion II is correct.
3. Both conclusions are correct.
4. These conclusions cannot be generalized.

Q.

Find the median:

31, 35, 45, 48, 52, 56, 66, 69, 70, 71

1. 23:21

2. 21:23

3. 1:1

4. 2:1