Introduction to Statistics

Q. A card is drawn from a pack of cards. What is the probability of drawing a Queen of Heart?

1. $\frac{1}{52}$
2. $\frac{3}{52}$
3. $\frac{1}{26}$
4. $\frac{1}{13}$

Q. The heights (in cm) of 8 girls of a class are 140, 142, 135, 133, 137, 150, 148 and 138 respectively. Find their median height.​

1. 138
2. 139
3. 141
4. 146

Q. Find the mean of 53, 61, 60, 67 and 64.​

1. 61
2. 53
3. 67
4. 65

Q. The mean of 5 numbers is 27. If a new number is included, the new mean becomes 25. Find the included number.​

1. 12
2. 13
3. 15
4. 11

Q.

Median is defined as:

1. the data which is the largest in a data set.

2. the data which lies in the middle of an organised data set.

3. same as mean.

4. the observation that occurs most frequently.

Q. The height of 10 girls were measured in cm and the results are as follows : 135, 150, 139, 128, 151, 132, 146, 149, 143, 141. What is the range of the data ?

Q.

Fill in the blank

Descriptive Statistics Works On $\left(\right)$ Dataset.

Q. A card is drawn from a pack of cards. What is the probability of drawing a Queen of Heart?

1. $\frac{1}{52}$
2. $\frac{1}{13}$
3. $\frac{3}{52}$
4. $\frac{1}{26}$

Q.

Median is defined as:

1. same as mean.

2. the observation that occurs most frequently.

3. the data which lies in the middle of an organised data set.

4. the data which is the largest in a data set.

Q. Data collection is the process of gathering information/facts from different sources.

1. True
2. False

Q. The height of 10 girls were measured in cm and the results are as follows : 135, 150, 139, 128, 151, 132, 146, 149, 143, 141. What is the height of the smallest girls ?

Q. For a given data set, we can find only one median value.

1. True
2. False

Q. The runs scored in a cricket match by $11$ players is as follows:
$6,15,120,50,100,80,10,15,8,10,15$
Find the mean, mode and median of this data. Are the three same?

Q. You have to select the players for your football team. Which of the following data sets will help you to make the decision?

1. Name of the players
2. Position of the players
3. Stamina of the players
4. Nationality of the players

Q. The median of the following observations when arranged in a decreasing order is .
4, 25, 49, 36, 1, 9, 16

1. 4
2. 16
3. 9

Q.

Numerical data can be represented visually using which of the following:

1. True

2. False

3. Lines
4. Equations

Q. Two bar graphs must have _________ in order to get merged into a double bar graph.

1. same scale but different sample size
2. different scale and sample size
3. same scale and sample size
4. different scale but same sample size

Q.

In order to analyse and interpret a data set, we should _________ it first.

1. find

2. visualize

3. organise

4. remove

Q. Identify the population from the following samples taken for the survey at the city to find which vegetable is preferred more among the citizen.

1. 500 randomly chosen women in the city
2. All the men in the city
3. All the members of the sports club in the city
4. All the citizens in the city

Q.
The average rating of Movie 1 is the average rating of Movie 2.

1. greater than
2. less than
3. equal to

Q. For the data to be statistical, there should be

1. All numerical/categorical observations
2. Variability in the data

Q. For a given data set, we can find only one median value.

1. False
2. True

Q. Who do you like more, Tarun or his brother? Why?

Q.

The mean of $31$ results is $60$. If the mean of the first $16$ results is $58$ and that of the last $16$ results is $62$, find the $16th$ result.

Q. The pictograph given below shows the number of buses belonging to different schools.
Number of buses of DPS exceeds the number of buses of DAV by

1. 3
2. 1
3. 9
4. 12

Q. Identify the population from the following samples taken for the survey at the city to find which vegetable is preferred more among the citizen.

1. 500 randomly chosen women in the city
2. All the members of the sports club in the city
3. All the men in the city
4. All the citizens in the city

Q.

find range of f(x)= Ix-1I

Q.

The mean of $20$ numbers is $18$. If $3$ is added to each of the first ten numbers, find the mean of the new set of $20$ numbers.

Q. The pictograph given below shows the number of buses belonging to different schools.
Number of buses of DPS exceeds the number of buses of DAV by

1. 12
2. 9
3. 1
4. 3

Q. Method of merit rating is__________.

1. Ranking procedure
2. Grading method
3. All of these
4. Point method