Finding Median of Grouped Data When Class Intervals Are Not Given

Q.

What is the median of $5$ and $7$?

Q.

Determine whether you should survey the population or a sample. Explain You want to know the average height of seventh graders in the United States.

Q.

Fiind the next term in the given series.

PMT, OOQ, NQN, MSK, ?

a) LWI b) LVH c) LVI d) LUH

Answer:

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.

In the given frequency distribution, which is the median age?
$\begin{array}{cc}\text{Age in years}& \text{Number of people}\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

1. 18 years

2. 17 years

3. 19 years

4. 20 years

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. ${21}^{st}$

2. ${20}^{th}$

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

4. ${19}^{th}\&{20}^{th}$

Q.

State whether true or false
The h in the formula

$Mode=I+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h$

stands for class width.

1. True

2. False

Q. CHEMISTRY You combine $2$ solution to form a mixture that is $40\%$ acid. One solution is $20\%$ acid and the other is $50\%$ acid. If you have $90$ milliliters of the mixture, how much of each solution was used to create the mixture?

1. $20$ mLof solution $A$ and $80$ mL of solution $B$ were used.
2. $30$ mL of solution $A$ and $60$ mL of solution $B$ were used.
3. $40$ mLof solution $A$ and $70$ mL of solution $B$ were used.
4. $80$ mLof solution $A$ and $70$ mL of solution $B$ were used.

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. $x=39,y=12$
3. $x=15,y=36$
4. $x=39,y=15$

Q.

The median will always be less than the mean.

1. True

2. False

Q.

The following table shows the profit made by a group of shops in a mall. The median of the data is _____.

$\begin{array}{ccccccc}\text{Profit per shop less than}\left(\%\right)& 10& 20& 30& 40& 50& 60\\ \text{No. of shops}& 12& 30& 57& 77& 94& 100\end{array}$

1. 27.4
2. 31.2
3. 26.8
4. 23.7

Q. A polyhedron has $5$ faces and $6$ vertices. How many edges will it have?

1. $9$
2. $3$
3. $4$
4. $14$

Q.

In a class test, if the marks scored by 11 students are 13, 17, 20, 5, 3, 19, 7, 6, 11, 15 and 17. Then, match the following:
$\begin{array}{cccc}& ListI& & ListII\\ A.& Median& i& 17\\ B.& Lowerquartile& ii.& 11\\ C.& Upperquartile& iii.& 6\\ D.& Interquartilerange& iv.& 13\end{array}$

1. A-i, B-ii, C-iii, D-iv

2. A-ii, B-iv, C-iii, D-i

3. A-iv, B-iii, C-i, D-ii

4. A-iv, B-iii, C-ii, D-i

Q.

(For an arranged data) The median is the

1. Middlemost observation

2. Most common observation

3. Least common observation

4. Average of the two most common observations

Q.

Which of these divides the entire set of observations into two equal parts, each consisting of an equal number of observations less than and greater than itself?

1. Median

2. Mode

3. Standard Deviation

4. Mean

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.

Which of the following is the median of a set of observations?

1. Twice the average value of data set

2. The most common data in a data set

3. The average value of data set

4. The middle most point of data set

Q. In a $100$ m race, A can beat B by $25$ m and B can beat C $4$ m. In the same race, A can beat C by

1. $28$ m
2. $21$ m
3. $26$` m
4. $29$ m

Q. A polyhedron has $11$ faces and $18$ vertices. Find the number of edges.

1. $15$
2. $33$
3. $21$
4. $27$