Statistics — Mean, Median, Mode, Standard Deviation - One Line Questions
1.
What is the standard deviation of the data set {5, 5, 5, 5, 5}? —
0
2.
What is the standard deviation of a data set where all values are the same? —
0
3.
What is the standard deviation of the numbers 1, 2, 3? —
sqrt(2)
4.
Find the mean of the first 5 natural numbers. —
3
5.
What is the median of the set {1, 3, 5, 7, 9}? —
5
6.
What is the mean of the numbers 5, 5, 5, 5, 5? —
5
7.
What is the mode of the numbers: 1, 2, 3, 1, 2, 1, 4? —
1
8.
What is the mean of the numbers 1, 2, 3, 4, 5? —
3
9.
What is the median of the following set: {1, 1, 2, 3, 3, 3, 4}? —
3
10.
In the data set {10, 12, 15, 12, 18, 12, 10}, which value occurs most frequently? —
12
11.
If the sum of 10 observations is 120, what is their mean? —
12
12.
What is the mode of the numbers: 10, 15, 10, 20, 10, 15? —
10
13.
What is the mean of the first 10 even numbers (starting from 2)? —
11
14.
What is the mode of the set {10, 20, 30, 40, 50}? —
No mode
15.
What is the mode of the numbers: 100, 101, 102, 101, 100, 101? —
101
16.
Find the median of the data: 11, 13, 15, 17, 19. —
15
17.
Calculate the median for the data: 15, 12, 18, 10, 20, 14. —
13.5
18.
If the mean of the first 'n' natural numbers is 15, what is the value of 'n'? —
29
19.
Calculate the mean of the following numbers: 10, 20, 30, 40. —
25
20.
Given the data set: 3, 5, 2, 8, 5, 9, 5, 1, 7. What is the median? —
5
21.
What is the mode of the data set: {2, 2, 3, 4, 4, 4, 5, 5}? —
4
22.
If the median of the set {x, 2x, 3x} is 10, what is the value of x? —
4
23.
What is the mode of the numbers: 2.5, 3.1, 2.5, 4.0, 3.1, 2.5? —
2.5
24.
Find the median of the data: 40, 30, 50, 20, 60, 10. —
35
25.
Calculate the mean of the following frequency distribution:
Value: 2, 4, 6
Frequency: 3, 2, 1 —
4
26.
What is the mode of the numbers: 3, 5, 3, 7, 5, 3, 8? —
3
27.
Find the median of the data: 10, 20, 30, 40, 50, 60. —
35
28.
What is the arithmetic mean of the numbers 2, 4, 6, 8, 10? —
6
29.
What is the median of the set {2, 4, 6, 8}? —
5
30.
If the mean of five numbers is 10, what is their sum? —
50
31.
Find the mode of the data: 5, 7, 9, 5, 7, 5, 10, 5. —
5
32.
If the mean of a data set is 25 and the sum of observations is 250, how many observations are there? —
10
33.
Find the median of the data: 25, 15, 35, 5, 45. —
25
34.
What is the variance of a data set with a standard deviation of 5? —
25
35.
If the mean of the first n odd numbers is 25, what is the value of n? —
25
36.
If the sum of 6 numbers is 72, what is their mean? —
12
37.
What is the mode of the following numbers: 7, 8, 9, 7, 8, 7, 10, 11? —
7
38.
Calculate the mean of the following numbers: 7, 8, 9, 10, 11. —
10
39.
Find the median of the data: 8, 12, 10, 14, 6. —
8
40.
Which of the following is NOT a measure of central tendency? —
Variance
41.
Which measure is represented by the middle value in an ordered data set? —
Median
42.
Which of the following is a measure of dispersion? —
Standard Deviation
43.
Which measure is least affected by outliers? —
Median
44.
The standard deviation is the square root of which measure? —
Variance
45.
For a symmetrical distribution, which of the following is generally true? —
Mean = Median = Mode
46.
Which measure of central tendency is most affected by extreme values (outliers)? —
Mean
47.
The mode of a distribution is the value that: —
Occurs most frequently
48.
If the mean of a set of numbers is 10 and the median is 12, what kind of skewness does the data likely exhibit? —
Negatively skewed (left-skewed)
49.
What does standard deviation measure? —
The spread or dispersion of data around the mean
50.
In a frequency distribution, the mean is calculated by summing the products of each value and its frequency, then dividing by: —
The total frequency