Cluster · Measures of Central Tendency

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Clusters / #1218
tight score 0.18

Mean Median Mode Statistical Measures
Questions
128
Questions in this cluster
128 total
Question Category Subtype Difficulty

Calculate the median of the following data -

Class 0 - 5  5 - 10  10 - 15 15 - 20
Frequency 4 6 9 5

 

pipeline-1301814
 defence — intermediate

What is the mean of the following data?

x 15 26 34 41 20
f 4 8 7 12 10

 

pipeline-1301808
 defence — intermediate

A couple went into a casino. After every game, the wife notes down the amount they won in the game. She finds out the mode and median of the data as 42 and 46 respectively. What is the mean of the number of winnings?

pipeline-1301829
 defence — intermediate

If the mean of the following data is 61, then the value of X is:

xi 55 60 70 95
fi 48 X 31 23

 

pipeline-1290135
 defence — intermediate

Find the arithmetic mean of the following data (correct to two decimal places).

 Class - interval  5-15  15-25  25-35  35-45  45-55  55-65
 Frequency  12  18  8  14  16  8

 

pipeline-1290133
 defence — intermediate

Find the mean from the following table ( rounded off to two decimals places. )

Score Frequencies
15 2
18 3
21 4
22 1
19 5
23 1
24 2
pipeline-1296619
 defence — intermediate

The marks obtained by 50 students in a test are grouped as follows:

Marks Range Number of Students
0 - 10 5
10 - 20 8
20 - 30 12
30 - 40 15
40 - 50 7
50 - 60 3

Find the quartile deviation.

pipeline-1290136
 defence — intermediate

FInd the median from the following data:

Age in years 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No. of patients 12 16 30 20 17 38 15
pipeline-1290140
 defence — intermediate

If the mean of the following data is 40, then the value of X is :

 xi  10  25  70  85
 fi  21  x  22  35

 

pipeline-1290134
 defence — intermediate

Calculate the median of the following data:

Class 0 - 5 5 - 10 10 - 15 15 - 20
Frequency 6 8 7 11

 

pipeline-1296624
 defence — intermediate

Find the median of the following data.
129, 75, 116.6, 12.3, 114.1, 136.6, 118.7, 121.3

pipeline-1272535
 defence — intermediate

Find the mode for the given distribution (rounded off to two decimal places).

Class Interval

Frequency

5-10

8

10-15

7

15-20

6

20-25

9

25-30

11

30-35

10
pipeline-1272536
 defence — intermediate

What is the median for the data given below:

Group

Frequency

160-170

20

170-180

110

180-190

130

190-200

80

200-210

60
pipeline-1272534
 defence — intermediate

What is the mode of the distribution? (Correct to two decimal places)

pipeline-1272537
 defence — intermediate

Study the given data and answer the question that follows.

Marks

0-10

10-20

20-30

30-40

40-50

No. of Students

6

12

15

X

5

If x is the lower limit of the median class and y is the upper limit of the modal class, then the value of (3x + 2y) is:

pipeline-1272523
 defence — intermediate

Ten observations written in descending order are 45, 34, 32, 30, 2x - 13, x + 1, 17, 15, 14 and 8. If the median is 24, then find the value of 'x'.

pipeline-1251887
 defence — intermediate

What is the median of the following distribution?

Class 100-150 150-200 200-250 250-300 -00-350
Frequency 22 18 25 15 20
pipeline-1251933
 defence — intermediate

If the mode of a data exceeds its mean by 20.1, then the mode exceeds the median by _____. (Use empirical formula)

pipeline-1266151
 defence — intermediate

A data set has a mean = 40, mode = 38, and standard deviation = 4. If each observation is increased by 7 and multiplied by 3, then find the new coefficient of skewness.

pipeline-1266170
 defence — intermediate

What is the mode of the data given below? [Give your answer correct to 2 decimal places]

Age in years 15-25 25-35 35-45 45-55 55-65 65-75 75-85
Number of patients 14 32 39 38 10 36 22
pipeline-1266148
 defence — intermediate

The maximum weight lifted by 750 participants are recorded and it is found that the Mean and the Median of this distribution are both more than the Mode. If the Mean and the Median are 184 Kg and 178 Kg respectively, then which of the following is the most likely value of the Mode (in Kg)?

pipeline-1251945
 defence — intermediate

The mode and median of a data is 23.6 and 24, respectively. What is the mean of the data? (Use empirical formula.)

pipeline-1251925
 defence — intermediate

What is the mode of the data given below? [Give your answer correct to 2 decimal places.

Age in years 15-25 25-35 35-45 45-55 55-65 65-75 75-85
No. of patients 12 18 20 25 30 20 15

 

pipeline-1241978
 defence — intermediate

Find the missing frequency(p) for the following distribution, whose mean is 8:

X: 3 5 7 9 11 13
f: 6 8 15 p 8 4
pipeline-1241959
 defence — intermediate

What is the mean of the following distribution?

Marks 10      30      50      70      90     
Number of students 17   28   32   24   19  

 

pipeline-1241979
 defence — intermediate

If the median and mean are 36 and 35 respectively, find the mode.

pipeline-1242009
 defence — intermediate

Find the mode of the following data: 275, 256, 857, 273, 668, 545, 275, 666, 228, 323, 277. 554, 686.

pipeline-824307
 railways — intermediate

Find the median of the following numbers: 8, 14, 22, 3, 19, 5, 10, 16, 2, 21

pipeline-827794
 railways — intermediate

The mean and median of a dataset are 60 and 70, respectively. Using the relationship between the mean, median, and mode, calculate the mode of the dataset.

pipeline-826789
 railways — intermediate

Find the median of the following numbers: 45, 78, 34, 90, 12, 56, 81, 27, 63, 72

pipeline-835856
 railways — intermediate

Which of the following is the median of the given distribution?

43, 48, 51, 57, 60, 69, 75, 81

pipeline-824226
 railways — intermediate

The marks obtained by 15 students out of a maximum of 25 in a test are given as 13, 11, 16, 15, 18, 12, 13, 14, 10, 22, 15, 21, 20, 17 and 24. Find the product of the modes of this set of data.

pipeline-848293
 railways — intermediate

What is the relation between Mean, mode and median?

pipeline-802117
 railways — intermediate

If the mean and mode of distribution are 21 and 27 respectively then what is the Median of the distribution?

pipeline-802267
 railways — intermediate

The maximum weight lifted by 750 participants are recorded and it is found that the Mean and the Median of this distribution are both more than the Mode. If the Mean and the Median are 184 Kg and 178 Kg respectively, then which of the following is the most likely value of the Mode (in Kg)?

pipeline-1195248
 railways — intermediate

Find the mode of the following data:

100 , 120 , 110 , 90 , 120 , 140 , 130 , 120 , 110 , 100 , 90 , 140 , 120 , 100

pipeline-802030
 railways — intermediate

What is the mean of the following data?

x 15 26 34 41 20
f 4 8 7 12 10

 

pipeline-1154369
 railways — intermediate

What is the mode of the data given below? [Give your answer correct to 2 decimal places.

Age in years 15-25 25-35 35-45 45-55 55-65 65-75 75-85
No. of patients 12 18 20 25 30 20 15

 

pipeline-1172077
 railways — intermediate

What is the mean of the following distribution?

Marks 10      30      50      70      90     
Number of students 17   28   32   24   19  

 

pipeline-1140279
 railways — intermediate

The mode of 5, 18, 6, 7, 6, 2, 3, 4, 24, 2, 7, 21, 2, 81 is:

pipeline-1134093
 railways — intermediate

What is the difference between the mean and mode of the ages?

pipeline-1146850
 railways — intermediate

Find the missing frequency(p) for the following distribution, whose mean is 8:

X: 3 5 7 9 11 13
f: 6 8 15 p 8 4
pipeline-1155977
 railways — intermediate

Find the mean of the following data:

X 19 21 23 25 27 29 31
F 13 15 16 18 16 15 13

 

pipeline-1172000
 railways — intermediate

If the mode of the following data is 10, then the value of k in the data set 2, 8, 5, 10, 1, 6, 10, 6, 6, 2k + 7, 9, 10, and 12 is:

pipeline-801967
 railways — intermediate

If the median and mean are 36 and 35 respectively, find the mode.

pipeline-1134006
 railways — intermediate

What is the mode of the given data?

5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7

pipeline-1300599
 railways — intermediate

Find the mean from the following table ( rounded off to two decimals places. )

Score Frequencies
15 2
18 3
21 4
22 1
19 5
23 1
24 2
pipeline-1297270
 railways — intermediate

For a sample data, mean = 60 and median = 48. For this distribution, the mode is:

pipeline-1299192
 railways — intermediate

Ten observations written in descending order are 45, 34, 32, 30, 2x - 13, x + 1, 17, 15, 14 and 8. If the median is 24, then find the value of 'x'.

pipeline-1291851
 railways — intermediate

What is the median of the following distribution?

Class 100-150 150-200 200-250 250-300 -00-350
Frequency 22 18 25 15 20
pipeline-1291735
 railways — intermediate
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