Mode

Q.

Which average would be suitable in the following cases?

(i) Average size of readymade garments.

(ii) Average intelligence of students in a class.

(iii) Average production in a factory per shift.

(iv) Average wages in an industrial concern.

(v) When the sum of absolute deviations from average is least.

(vi) When quantities of the variable are in ratios.

(vii) In case of open-ended frequency distribution.

Q.

Calculate the mode of the following data : 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 8, 7, 7, 9.

Q.

Locate the mode graphically:

$\begin{array}{cccccccc}\text{Marks}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70\\ \text{No.of Students}& 5& 10& 20& 25& 20& 10& 5\end{array}$

Q. Consider the following ungrouped data.
1, 3, 9, 5, 3, 7, 9, 2, 6, 9, 5, 3. The data (is) .

1. unimodal
2. bimodal
3. multimodal
4. has no modes

Q.

Consider the following ungrouped data
1, 3, 9, 5, 3, 7, 9, 2, 6, 9, 5, 3

The data is ___________.

1. multimodal

2. bimodal

3. unimodal

4. has no mode

Q.

For what value of $p$, the mode of the following data is $5$?

$1,2,5,7,5,2,7,5,9,2,3,p,11.$

Q.

In a box, there are 100 balls numbered 1 to 100. 20 balls are randomly picked and the number written on them is noted down. The observations are

1. unimodal

2. bimodal

3. multimodal

4. none of these

Q. The letters of the word 'STATISTICS' shows a bimodal distribution.

1. False
2. True

Q.

Data were collected on the following variables.

Which variable is LEAST likely to be approximated with a normal model?

1. The distribution of heights of tomato plants growing at an agricultural center, where most heights cluster around the center and there are some very short and very tall heights.

2. The distribution of times that a certain brand of house paint lasts on a house, where the distribution is symmetric and bell-shaped.

3. The distribution of lengths of the trout living in a certain stream, where the distribution is unimodal and clustered around the center, and the left half is a mirror image of the right half.

4. The distribution of weights of mold samples growing in a laboratory, where the distribution is symmetric, unimodal, and does not have any outliers

5. The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.

Q. For an ungrouped data, is always an observation of the data set.

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

Q. Match the following.

1. Most popular value
2. Middle value
3. Affected by extremes
4. Two equal peaks

Q.

For an ungrouped data, which of the following is always an observation of the data set?

1. quartile

2. mean

3. median

4. mode

Q. 100 balls are numbered 1 to 100. 20 balls are randomly picked; their number is noted down. It (is) .

1. unimodal
2. bimodal
3. multimodal
4. has no modes

Q.

Match the following
$\begin{array}{cc}\text{(i) Mean}& \text{A. Middle value}\\ \text{(ii) Median}& \text{B. Most popular value}\\ \text{(iii) Mode}& \text{C. Gets highly affected by extreme values}\end{array}$

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

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

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

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

Q.

Calculate mode from the given data:

$\begin{array}{ccccccc}\text{Variable}& 30& 35& 40& 45& 50& 55\\ \text{Frequency}& 5& 9& 14& 10& 6& 4\end{array}$

Q.

Calculate mode from the given data

$\begin{array}{ccccccc}\text{Size}& 30& 35& 40& 45& 50& 55\\ \text{Frequency}& 5& 9& 14& 10& 6& 4\end{array}$

Q. Find the mode of the following data.

$$\begin{array}{ccccc}2& 14& 17& 11& 15\\ 7& 20& 8& 17& 10\\ 8& 20& 1& 8& 3\end{array}$$

1. 8
2. 11
3. 17
4. 20

Q. What is the mode from the following table?

Marks obtained	Frequency
3	7
13	11
23	15
33	8
43	3

1. $13$
2. $43$
3. $33$
4. $23$

Q. Find the mode of the following data:
$25,16,19,48,19,20,34,15,19,20,21,24,19,16,22,16,18,20,16,19$

1. $19$
2. $18$
3. $17$
4. $25$

Q. Calculate the mean deviation of the following income groups of five and seven members from their medians:

I Income in Rs.	II Income in Rs.
4000 4200 4400 4600 4800	300 4000 4200 4400 4600 4800 5800

Q.

Mode is the ___ .

1. Middle most value

2. Average value

3. Most frequent value

4. Least frequent value

Q. If the mode of the following data is 14, find the value of x
10, 12, 14, 15, 16, 14, 15, 14, 15, x, 16, 14, 16

Q. If X, M, Z are denoting mean, median and mode of a data and X : M = 9 : 8, then find the ratio M : Z.

1. 4 : 3
2. 8 : 9
3. 7 : 6
4. 5 : 4