Measure of Central Tendency

Q. Yield of soyabean per acre in quintal in Mukund's field for 7 years was 10, 7, 5, 3, 9, 6, 9. Find the mean of yield per acre.

Q. If the difference between mode and median of a data is 18, Find the difference between mean and median.

1. 7
2. 9
3. 5
4. 4

Q.

For the data $1,5,7,x+1,9,x-2,3$, if mean is $4$, find the value of $x$. Also, find the mode of the data.

Q. In which frequency distribution the class intervals overlap?

1. Discrete
2. Continuous
3. Inclusive
4. None

Q. For a frequency distribution, mean is 101 and median is 100. What is the value of mode?​

1. 95
2. 98
3. 100
4. 102

Q. The mean weight of a group of seven boys is 56 kgs. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.

[2 MARKS]

Q.

Match the two columns
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) The class mark of the class interval}& \text{(p) 13}\\ 145-150is& \\ \text{(B) In a frequency distribution, the mid – value of a}& \text{(q) 110}\\ \text{class is 10 and width of each class is 6. The upper}& \\ \text{limit of the class is}& \\ \text{(C) The mean of eight numbers is 40. If one}& \text{(r) 22.5 – 27.5}\\ \text{number is excluded, their mean becomes 30.}& \\ \text{The excluded number is}& \\ \text{(D) The class marks of a frequency distribution are}& \left(s\right)147.5\\ 15,20,25,30,\dots \dots \text{The class corresponding to the class}& \\ \text{mark 25 is}& \end{array}$

Choose the correct option:

1. A-p; B-s; C-q; D-r

2. A-r; B-p; C-q; D-s

3. A-s; B-p; C-r; D-q

4. A-s; B-p; C-q; D-r

Q. If the mode of a series exceeds its mean by 12, then mode exceeds median by:

1. 12
2. 8
3. 36
4. 24

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

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

1. 75
2. 78
3. 79
4. 65

Q.

The marks obtained by the students of a class , in an exam which was out of 50 marks is given below :

$\begin{array}{cc}Marks& Numberofstudents\\ 5& 1\\ 7& 2\\ 11& 2\\ 16& 3\\ 21& 5\\ 24& 6\\ 28& 3\\ 32& 5\\ 34& 8\\ 39& 6\\ 43& 4\\ 45& 2\\ 49& 3\end{array}$

Find the mean for the ungrouped data.

1. 24
2. 29.94
3. 30.5
4. 28

Q. In an ordered set, half of them have values less than P and half of them have values greater than Q. Find the median of the set.

1. P
2. Q
3. P+Q
4. $\frac{\text{P+Q}}{2}$

Q.

$\begin{array}{cc}{x}_i& f_i\\ 4& 10\\ 8& 11\\ 12& 9\\ 16& 13\end{array}$
Find $\sum f_i{x}_i$ from the given table.

1. 434
2. 444
3. 208
4. Data inadequate

Q.

Find the difference between the median and the mode of the following data set:

1 6 45 4 33 12 19 6 56 25 13 9

1. 6.5

2. 12.5

3. 12

4. 6

Q. The average is the least important value for a data set to draw important conclusions.

1. True
2. False

Q. Match the following
$\begin{array}{cc}\left(i\right)Mean& A.Typicalvalue\\ \left(ii\right)Median& B.Mostpopularvalue\\ \left(iii\right)Mode& C.Getshighlyaffectedbyextremevalues\end{array}$

1. (i)-B, (ii)-A, (iii)-C
2. (i)-A, (ii)-B, (iii)-C
3. (i)-C, (ii)-A, (iii)-B
4. (i)-B, (ii)-C, (iii)-A

Q.

In the class interval 22-26, the lower limit is _____ .

1. 25

2. 22

3. 26

4. 24

Q.

Find the sum:

$\mathrm{Th}\mathrm{H}\mathrm{T}\mathrm{O}+12536342$

Q. Match the two columns.
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) The class mark of the class interval}& \text{(p) 13}\\ 145-150is:& \\ \text{(B) In a frequency distribution, the mid – value of a}& \text{(q) 110}\\ \text{class is 10 and width of each class is 6. The upper}& \\ \text{limit of the class is:}& \\ \text{(C) The mean of eight numbers is 40. If one}& \text{(r) 22.5 – 27.5}\\ \text{number is excluded, their mean becomes 30.}& \\ \text{The excluded number is:}& \\ \text{(D) The class marks of a frequency distribution are}& \left(s\right)147.5\\ 15,20,25,30,\dots \dots \text{The class corresponding to the class}& \\ \text{mark 25 is:}& \end{array}$