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Chapters
2: Collection of Data
3: Organisation of Data
4: Presentation of Data
▶ 5: Measures of Central Tendency
6: Measures of Dispersion
7: Correlation
8: Index Numbers
Chapter 9: Use of Statistical Tools
![NCERT solutions for Statistics for Economics [English] chapter 5 - Measures of Central Tendency - Shaalaa.com](/images/statistics-for-economics-english_6:098eda7804764399818daa37556a8f8c.jpg "NCERT solutions for Statistics for Economics [English] chapter 5 - Measures of Central Tendency")
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Solutions for Chapter 5: Measures of Central Tendency
Below listed, you can find solutions for Chapter 5 of CBSE NCERT for Statistics for Economics [English].
NCERT solutions for Statistics for Economics [English] 5 Measures of Central Tendency Exercise [Pages 71 - 73]
Which average would be suitable in the following case?
The average size of readymade garments.
Which average would be suitable in the following case?
The average intelligence of students in a class.
Which average would be suitable in the following case?
Average production in a factory per shift.
Which average would be suitable in the following case?
The average wage in an industrial concern.
Which average would be suitable in the following case?
When the sum of absolute deviations from average is least.
Which average would be suitable in the following case?
When quantities of the variable are in ratios.
Which average would be suitable in the following case?
In case of an open-ended frequency distribution.
Indicate the most appropriate alternative from the multiple choices provided against each question.
The most suitable average for qualitative measurement is ______
arithmetic mean
median
mode
geometric mean
none of the above
Which average is affected most by the presence of extreme items?
median
mode
arithmetic mean
none of the above
The algebraic sum of deviation of a set of n values from A.M. is ______
n
0
1
none of the above
Comment whether the following statements are true or false.
The sum of deviation of items from the median is zero.
True
False
An average alone is not enough to compare series.
True
False
The arithmetic mean is a positional value.
True
False
The upper quartile is the lowest value of the top 25% of items.
True
False
The Median is unduly affected by extreme observations.
True
False
If the arithmetic mean of the data given below is 28, find the missing frequency?
|
Profit per retail shop (in Rs) |
0 - 10 |
10 - 20 |
20 - 30 |
30 - 40 |
40 - 50 |
50 - 60 |
|
Number of retail shops |
12 |
18 |
27 |
- |
17 |
6 |
If the arithmetic mean of the data given below is 28, find the median of the series:
|
Profit per retail shop (in Rs) |
0 - 10 |
10 - 20 |
20 - 30 |
30 - 40 |
40 - 50 |
50 - 60 |
|
Number of retail shops |
12 |
18 |
27 |
- |
17 |
6 |
The following table gives the daily income of ten workers in a factory. Find the arithmetic mean.
|
Workers |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
|
Daily Income (in Rs) |
120 |
150 |
180 |
200 |
250 |
300 |
220 |
350 |
370 |
260 |
The following information pertains to the daily income of 150 families. Calculate the arithmetic mean.
|
Income (in Rs) |
Number of families |
|
More than 75 |
150 |
|
More than 85 |
140 |
|
More than 95 |
115 |
|
More than 105 |
95 |
|
More than 115 |
70 |
|
More than 125 |
60 |
|
More than 135 |
40 |
|
More than 145 |
25 |
The size of the landholdings of 380 families in a village is given below. Find the median size of landholdings.
|
Size of Land Holdings (in acres) |
Less than 100 |
100 - 200 |
200 - 300 |
300 - 400 |
400 and above |
|
Number of families |
40 |
89 |
148 |
64 |
39 |
The following series relates to the daily income of workers employed in a firm. Compute the highest income of the lowest 50% of workers.
| Daily Income (in Rs) | 10-14 | 15-19 | 20-24 | 25–29 | 30-34 | 35-39 |
| Number of workers | 5 | 10 | 15 | 20 | 10 | 2 |
The following series relates to the daily income of workers employed in a firm. Compute minimum income earned by the top 25% of workers.
| Daily Income (in Rs) | 10-14 | 15-19 | 20-24 | 25–29 | 30-34 | 35-39 |
| Number of workers | 5 | 10 | 15 | 20 | 10 | 2 |
The following series relates to the daily income of workers employed in a firm. Compute maximum income earned by the lowest 25% of workers.
| Daily Income (in Rs) | 10-14 | 15-19 | 20-24 | 25–29 | 30-34 | 35-39 |
| Number of workers | 5 | 10 | 15 | 20 | 10 | 2 |
The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the mean values.
| Production yield (kg. per hectare) | 50 - 53 | 53 - 56 | 56 - 59 | 59 - 62 | 62 - 65 | 65 - 68 | 68 - 71 | 71 - 74 | 74 - 77 |
| Number of farms | 3 | 8 | 14 | 30 | 36 | 28 | 16 | 10 | 5 |
The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the median values.
| Production yield (kg. per hectare) | 50 - 53 | 53 - 56 | 56 - 59 | 59 - 62 | 62 - 65 | 65 - 68 | 68 - 71 | 71 - 74 | 74 - 77 |
| Number of farms | 3 | 8 | 14 | 30 | 36 | 28 | 16 | 10 | 5 |
The following table gives production yield in kg. per hectare of wheat of 150 farms in a village. Calculate the mode values.
| Production yield (kg. per hectare) | 50 - 53 | 53 - 56 | 56 - 59 | 59 - 62 | 62 - 65 | 65 - 68 | 68 - 71 | 71 - 74 | 74 - 77 |
| Number of farms | 3 | 8 | 14 | 30 | 36 | 28 | 16 | 10 | 5 |
Solutions for 5: Measures of Central Tendency
NCERT solutions for Statistics for Economics [English] chapter 5 - Measures of Central Tendency
Shaalaa.com has the CBSE Mathematics Statistics for Economics [English] CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Statistics for Economics [English] CBSE 5 (Measures of Central Tendency) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Statistics for Economics [English] chapter 5 Measures of Central Tendency are Lorenz Curve, Measures of Central Tendency - Mean, Measures of Central Tendency - Median, Measures of Central Tendency - Mode, Measures of Central Tendency - Central Value Or Representative Value, Measures of Central Tendency - Series, Measures of Central Tendency - Partition Value, Measures of Central Tendency - Quartile, Measures of Central Tendency - Deciles, Measures of Central Tendency - Percentile, Measures of Dispersion - Absolute Dispersion, Measures of Dispersion - Relative Dispersion, Lorenz Curve, Correlation Meaning, Properties of Correlation,, Types of Correlation, Scatter Diagram of Correlation, Measures of Correlation - Karl Pearson'S Method (Two Variables Ungrouped Data), Measures of Correlation - Spearman's Rank Correlation, Meaning of Index Numbers, Uses of Index Numbers, Types of Index Number - Wholesale Price Index, Types of Index Number - Consumer Price Index, Types of Index Number - Index of Industrial Production, Construction of Price Index, Cost of Living Index Number, Inflation and Index Numbers, Method to Measure - Simple Aggregate Method, Method to Measure - Simple Average Price Relative Method, Method to Measure - Laspeyer Method, Method to Measure - Paasche's Index Numer, Method to Measure - Fisher's Method, Measures of Central Tendency, Arithmetic Mean or Mean, Measures of Central Tendency - Median, Measures of Central Tendency - Mode, Relative Position of Arithmetic Mean, Median and Mode, Measures of Central Tendency - Conclusion.
Using NCERT Statistics for Economics [English] solutions Measures of Central Tendency exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Statistics for Economics [English] students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 5, Measures of Central Tendency Statistics for Economics [English] additional questions for Mathematics Statistics for Economics [English] CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
