Mode

Q.

What is the mean and mode of first $10$ composite numbers?

Q.

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components: Determine the modal lifetimes of the components.

Lifetime (in hours)	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$10$	$35$	$52$	$61$	$38$	$29$

Q.

A number from the given data set which repeats the maximum number of times is known as ____.

1. mean

2. median

3. mode

4. frequency

Q.

Find the mode and median of the following frequency distribution table
$\begin{array}{ccccccc}x& 10& 11& 12& 13& 14& 15\\ f& 1& 4& 7& 5& 9& 3\end{array}$

1. 14 , 13

2. 13 , 14

3. 20 , 21

4. 10 , 13

Q.

Find the mode from the following frequency distribution table

$$\begin{array}{ccccc}{x}_i& \text{10}& \text{13}& \text{16}& \text{19}\\ f_i& \text{25}& \text{15}& \text{7}& \text{26}\end{array}$$

1. 16

2. 26

3. 25

4. 19

Q.

Find the mode of $6,7,8,9,10,6,7,10,7,6,7,9,7,6$

Q.

Mean, median and mode are also known as the measures of __ of a data set.

Q.

Draw the next two patterns and complete the table. (2 marks)

Q.

If the mode of $13,14,13,15,14,16,16,x$is $14$, find the value of $x$.

Q.

“Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem:

What is the mode of the following set of observations?

9 13 5 9 6 9 9 17 13 11 12 13 19

13 0 9 13 21 7 13 7 17 9 0 7 11

1. 11

2. 13

3. 9

4. Both 9 and 13

Q. The following chart represents the height of trees in two gardens. From the given information, what inference can be made?

1. No inference can be made.
2. Median of height of trees in garden 1 = 9.0 ft
3. Median of height of trees in garden 2 = 8.6 ft
4. Median of height of trees in both the garden are same.

Q.

Find the mode of the following numbers: $6,3,2,6,5,6,8$

Q. The price of different types of pizza is given. If each price is increased by 30 rupees, which of the following gives the new median and mode?

1. 95, 98
2. 95, 95
3. 86, 95
4. 65, 68

Q.

Find the mode of the following data.

$\begin{array}{cc}{x}_i& f_i\\ 10& 10\\ 14& 15\\ 18& 7\\ 21& 9\\ 25& 9\end{array}$ [1 MARK]

Q. Which of the following gives the upper quartile of the given data

22, 34, 32, 28, 36, 20, 40, 38, 30

1. 34
2. 32
3. 30
4. 37

Q.

There is a data set with 1000 observations. Out of these observations, the observation that occurs most frequently is 9, which occurs 13 times. After taking 20 more observations, it was observed that 13, which was not there in the observations before, occurred 19 out of 20 times and 9 occurred only 1 out of 20 times. What is the mode in these 1020 observations?

___

Q. Vandhana is four times as old as her brother Akash at present.After $10$ years, she will be twice the age of her brother.Find their present ages.

Q. Given below are the marks of students in a science test.
20, 19, 17, 25, 18, 16, 15, 18, 18, 2, 17, 25, 20, 19.
Find the mode and mention whether it will be the same with or without the outlier.

Q. The steps to find the inter quartile range(IQR) of the data set 4, 8 5, 3, 9, 8, 5, 6 and 7, representing the quiz scores of students is given. Find which of the following is an error statement.

1. No error
2. Arrange the data set in ascending order : 3, 4, 5, 5, 6, 7, 8, 8, 9
3. Lower half of the data set is 3, 4, 5, 5. and lower quartile = 5.
4. Calculate the median, median = 6.

Q. The number of times deers spotted at different places is given. The mode and range of the data are respectively.

1. 30, 20
2. 20, 10
3. 30, 40

Q. The given data set contains the price of sneakers at various stores. What will be the new median if a new price of 58 dollars is added to the set?

1. 49.5
2. 51.5
3. 54
4. 49