Practice Set for JSO/ASO
(Statistics) Test- 8
By
L1 Classes Prayagraj
Time: 1:00 hour mm:
1. The arithmetic mean of 3, 6, 9, and c) Remains unchanged
12 is: d) Decreases by 3
a) 7.5 6. In a frequency distribution, the
b) 8 arithmetic mean lies between:
c) 9 a) The smallest and largest values
d) 10 b) The first and third quartiles
2. What is the arithmetic mean of 8, 12, c) The median and the mode
and 16? d) The smallest and largest
a) 10 frequencies
b) 12 7. The arithmetic mean of 25
c) 14 consecutive natural numbers is 20.
d) 16 What is the smallest number?
3. The sum of deviations of all a) 8
observations from their arithmetic b) 10
mean is: c) 12
a) Always positive d) 15
b) Always negative 8. The sum of 10 observations is 120,
c) Zero what is the arithmetic mean?
d) Depends on the dataset a) 10
4. The arithmetic mean of a constant b) 12
data set is always: c) 14
a) Less than the mode d) 16
b) Equal to the constant 9. Which measure of central tendency is
c) Greater than the constant most affected by outliers?
d) Dependent on the number of a) Mode
terms b) Median
5. If all values in a data set are c) Arithmetic mean
multiplied by 3, the arithmetic mean: d) Geometric mean
a) Is tripled
b) Is halved
10.In a symmetric distribution, the 15.The geometric mean is best used to
arithmetic mean is equal to the: calculate the average for:
a) Mode a) Growth rates
b) Median b) Temperature readings
c) Range c) Categorical data
d) Harmonic mean d) Median of salaries
11.The geometric mean of 4 and 16 is: 16.The geometric mean of 1, 4, and 16
a) 8 is:
b) 10 a) 4
c) 12 b) 6
d) 14 c) 8
12.The geometric mean is always: d) 10
a) Greater than the arithmetic 17.The geometric mean of two numbers
mean is equal to their:
b) Less than the arithmetic mean a) Sum divided by 2
c) Equal to the harmonic mean b) Arithmetic mean
d) Greater than the mode c) square root of their product
13.The geometric mean of three d) Harmonic mean
numbers a, b, and c is given by: 18.The geometric mean is particularly
a) 𝑎𝑏𝑐 1/3 useful when:
a) The data contains negative
(a + b + c)⁄ numbers
b) 3 b) The data set includes zero
1
c) 1 1 1 c) The data is highly skewed
+ +
𝑎 𝑏 𝑐 d) The data represents
multiplicative processes
d) 𝑎2 + 𝑏 2 + 𝑐 2 19.The geometric mean of 2, 6, and 18
14.The geometric mean of a set of is:
positive numbers is 25, and one a) 6
number is 5. What is the product of b) 12
the remaining numbers (if there are 2 c) 18
more)? d) 8
a) 2000 20.If all numbers in a data set are
b) 3000 doubled, the geometric mean is:
c) 2500 a) Doubled
d) 5000 b) Halved
c) Remains unchanged 26.The harmonic mean of 1, 3, and 9 is:
d) Increased by square root of 2 a) 3
21.The harmonic mean of 2 and 4 is: b) 4
a) 3 c) 2.25
b) 2.67 d) 2
c) 2.5 27.If the arithmetic mean of two
d) 2 numbers is 10 and their harmonic
22.The harmonic mean is typically used mean is 5, what is the geometric
to calculate the average of: mean?
a) Prices a) 8
b) Speeds b) 7.5
c) Weights c) 10
d) Ages d) 15
23.The harmonic mean of two positive 28.Harmonic mean is most appropriate
numbers is always: for calculating:
a) Greater than their geometric a) Averages of income
mean b) Averages of speed
b) Less than their arithmetic mean c) Averages of product prices
c) Equal to their mode d) Averages of marks
d) Greater than their arithmetic 29.The harmonic mean of reciprocal
mean values is:
24.The harmonic mean of 4, 5, and 6 is a) Arithmetic mean of the original
approximately: values
a) 4.88 b) Geometric mean of the original
b) 5 values
c) 5.5 c) Harmonic mean of the original
d) 5.3 values
25.The harmonic mean is least suitable d) The same as the mode
for data that involves: 30.The harmonic mean is preferred
a) Rates when:
b) Time averages a) The data contains extreme
c) Quantities measured in values
percentages b) The data represents additive
d) large variations in magnitude processes
c) The data contains rates or ratios
d) The data is skewed
31.The median of 10, 20, 30, and 40 is: 37.If the median is greater than the
a) 15 mean, the distribution is:
b) 25 a) Positively skewed
c) 30 b) Symmetrical
d) 20 c) Negatively skewed
32.The median is best used for: d) Bimodal
a) Symmetrical data 38.The median of 8, 12, 15, and 18 is:
b) Skewed data a) 12.5
c) Categorical data b) 13
d) Numerical data c) 14
33.The median of the first 7 positive d) 15
integers is: 39.The median is equal to the:
a) 3.5 a) First quartile
b) 4 b) Mode
c) 3 c) Third quartile
d) 2 d) Second quartile
34.The median is less sensitive to: 40.In a frequency distribution, the
a) Extreme values median can be found using:
b) Outliers a) Cumulative frequency
c) Skewness b) The mean
d) All of the above c) The mode
35.The median of an odd number of d) The variance
observations is the: 41.The 25th percentile is also known as:
a) Average of the middle two a) First quartile
values b) Second quartile
b) Middle value c) Third quartile
c) Highest value d) Median
d) Lowest value 42.The third quartile (Q3) is the value
36.The median of a dataset with two below which:
middle values is: a) 25% of the data lies
a) The smaller middle value b) 50% of the data lies
b) The average of the two middle c) 75% of the data lies
values d) 90% of the data lies
c) The larger middle value
d) The most frequent value
43.The 90th percentile means: 49.The median is the:
a) 10% of the data falls below this a) 10th percentile
value b) 50th percentile
b) 90% of the data falls below this c) 25th percentile
value d) 75th percentile
c) 90% of the data falls above this 50.The interquartile range represents
value the:
d) It is the third quartile a) Difference between Q1 and Q3
44.Deciles divide a dataset into: b) Range of the entire dataset
a) Two equal parts c) Average of Q1 and Q3
b) Three equal parts d) Sum of Q1 and Q3
c) Ten equal parts
d) Hundred equal parts
45.If the 50th percentile is the median,
the 25th percentile is:
a) First quartile
b) Second quartile
c) Mode
d) Third quartile
46.The 75th percentile is also known as:
a) First quartile
b) Third quartile
c) Mode
d) Second quartile
47.If Q1 is 30, Q3 is 70, then the
interquartile range is:
a) 100
b) 40
c) 50
d) 60
48.Percentiles are most useful in:
a) Measuring average values
b) Ranking data
c) Finding extreme values
d) Calculating the range
