Use the data given in the table that relate to monthly household expenditure (in Rs) on the food of 50 households. Monthly Household Expenditure (in Rupees) on Food of 50 Households 1904 1559 3473 1735 2760 2041 1612 1753 1855 4439 5090 1085 1823 2346 1523 1211 1360 1110 2152 1183 1218 1315 1105 2628 2712 4248 1812 1264 1183 1171 1007 1180 1953 1137 2048 2025 1583 1324 2621 3676 1397 1832 1962 2177 2575 1293 1365 1146 3222 1396 Find the number of households whose monthly expenditure on food is more than Rs 3000 .

Let's take the class intervals as 500 , and then create a table. To calculate frequency, use tally marks. Class intervals Tally Marks Frequency 1000 - 1500 | | | | | | | | | | | | | | | | 20 1500 - 2000 | | | | | | | | | | | 13 2000 - 2500 | | | | | 06 2500 - 3000 | | | | 05 3000 - 3500 | | 02 3500 - 4000 | 01 4000 - 4500 | | 02 4500 - 5000 _ 00 5000 - 5500 | 01 Total 50 Number of households whose monthly expenditure on food is more than ₹ 3000 = 2 + 1 + 2 + 0 + 1 = 6

Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data. 28 17 15 22 29 21 23 27 18 12 7 2 9 4 1 8 3 10 5 20 16 12 8 4 33 27 21 15 3 36 27 18 9 2 4 6 32 31 29 18 14 13 15 11 9 7 1 5 37 38 28 26 24 20 19 25 19 20 6 9

The inclusive method does not exclude the upper class limit in a class interval. It includes the upper class in a class. Thus, both class limits are parts of the class interval. Let's take the class interval as 7 as given and then create a table. To calculate frequency, use tally marks. Class Intervals Tally Marks Frequency 0 - 7 | | | | | | | | | | | | 15 8 - 15 | | | | | | | | | | | | 15 16 - 23 | | | | | | | | | | | | 14 24 - 31 | | | | | | | | | 11 32 - 39 | | | | 5 Total 60

Use the data given in the table that relate to monthly household expenditure (in Rs) on the food of 50 households. Monthly Household Expenditure (in Rupees) on Food of 50 Households 1904 1559 3473 1735 2760 2041 1612 1753 1855 4439 5090 1085 1823 2346 1523 1211 1360 1110 2152 1183 1218 1315 1105 2628 2712 4248 1812 1264 1183 1171 1007 1180 1953 1137 2048 2025 1583 1324 2621 3676 1397 1832 1962 2177 2575 1293 1365 1146 3222 1396 Find the number of households whose monthly expenditure on food is less than Rs 2000

Let's take class intervals as 500 , and then create a table. To calculate frequency, use tally marks. Class intervals Tally Marks Frequency 1000 - 1500 | | | | | | | | | | | | | | | | 20 1500 - 2000 | | | | | | | | | | | 13 2000 - 2500 | | | | | 06 2500 - 3000 | | | | 05 3000 - 3500 | | 02 3500 - 4000 | 01 4000 - 4500 | | 02 4500 - 5000 _ 00 5000 - 5500 | 01 Total 50 Number of households whose monthly expenditure on food is less than ₹ 2000 = 20 + 13 = 33

Use the data given in table that relate to monthly household expenditure (in Rs) on food of 50 households. Monthly Household Expenditure (in Rupees) on Food of 50 Households 1904 1559 3473 1735 2760 2041 1612 1753 1855 4439 5090 1085 1823 2346 1523 1211 1360 1110 2152 1183 1218 1315 1105 2628 2712 4248 1812 1264 1183 1171 1007 1180 1953 1137 2048 2025 1583 1324 2621 3676 1397 1832 1962 2177 2575 1293 1365 1146 3222 1396 Obtain the range of monthly household expenditure on food.

Range = Largest Value - Smallest Value Highest Value = 5090 Lowest Value = 1007 So, Range = 5090 - 1007 = 4083 Given the range of the variable, we can determine the number of classes once we decide the class interval.

Use the data given in the table that relate to monthly household expenditure (in Rs) on food of 50 households. 1904 1559 3473 1735 2760 2041 1612 1753 1855 4439 5090 1085 1823 2346 1523 1211 1360 1110 2152 1183 1218 1315 1105 2628 2712 4248 1812 1264 1183 1171 1007 1180 1953 1137 2048 2025 1583 1324 2621 3676 1397 1832 1962 2177 2575 1293 1365 1146 3222 1396 Find the number of households whose monthly expenditure on food in between 1500 and 2500 .

Lets take class interval as 500 and then create a table. To calculate frequency, use tally marks. Class intervals Tally Marks Frequency 1000 - 1500 | | | | | | | | | | | | | | | | 20 1500 - 2000 | | | | | | | | | | | 13 2000 - 2500 | | | | | 06 2500 - 3000 | | | | 05 3000 - 3500 | | 02 3500 - 4000 | 01 4000 - 4500 | | 02 4500 - 5000 _ 00 5000 - 5500 | 01 Total 50 Number of households whose expenditure on food is between ₹ 1500 and ₹ 2500 = 13 + 6 = 19

Find the range of yield of wheat in table below. The yield of wheat for different countries ( 2013 ) Country Yield of wheat(kg/hectare) Canada 3594 China 5055 France 7254 Germany 7998 India 3154 Pakistan 2787

The range is the difference between the highest and lowest value. Highest value = 7998 Lowest value = 2787 Range = 7998 - 2787 = 5211 Hence, the range is 5211 kg / hectare . Given the range of the variable, we can determine the number of classes once we decide the class interval.

difference between the largest and the smallest observations

difference between the smallest and the largest observations

average of the largest and the smallest observations

ratio of the largest to the smallest observation

Find the range of the population of India from the table below: Population of India (in crores) Year Population(in crores) 1951 35 . 7 1961 43 . 8 1971 54 . 6 1981 68 . 4 1991 81 . 8 2001 102 . 7 2011 121 . 0

The range is the difference between the highest and lowest value. Highest value = 121 . 0 Lowest value = 35 . 7 Range = 121 . 0 - 35 . 7 = 85 . 3 Hence, the range is 85 . 3 crores . Given the range of the variable, we can determine the number of classes once we decide the class interval.

Use the data given in the table that relate to monthly household expenditure (in Rs) on the food of 50 households. Monthly Household Expenditure (in Rupees) on Food of 50 Households 1904 1559 3473 1735 2760 2041 1612 1753 1855 4439 5090 1085 1823 2346 1523 1211 1360 1110 2152 1183 1218 1315 1105 2628 2712 4248 1812 1264 1183 1171 1007 1180 1953 1137 2048 2025 1583 1324 2621 3676 1397 1832 1962 2177 2575 1293 1365 1146 3222 1396 Divide the range into appropriate number of class intervals and obtain the frequency distribution of expenditure.

Let's take class interval as 500 and then create a table. To calculate frequency, use tally marks. Class intervals Tally Marks Frequency 1000 - 1500 | | | | | | | | | | | | | | | | 20 1500 - 2000 | | | | | | | | | | | 13 2000 - 2500 | | | | | 06 2500 - 3000 | | | | 05 3000 - 3500 | | 02 3500 - 4000 | 01 4000 - 4500 | | 02 4500 - 5000 _ 00 5000 - 5500 | 01 Total 50

An openend class is a class that lacks either a lower limit or a higher limit

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Data represented through a histogram can help in finding graphically the:

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

What is 'loss of information' in classified data?

HARD

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Use the data given in the table that relate to monthly household expenditure (in Rs) on the food of $50$ households.

Monthly Household Expenditure (in Rupees) on Food of 50 Households

$1904$	$1559$	$3473$	$1735$	$2760$
$2041$	$1612$	$1753$	$1855$	$4439$
$5090$	$1085$	$1823$	$2346$	$1523$
$1211$	$1360$	$1110$	$2152$	$1183$
$1218$	$1315$	$1105$	$2628$	$2712$
$4248$	$1812$	$1264$	$1183$	$1171$
$1007$	$1180$	$1953$	$1137$	$2048$
$2025$	$1583$	$1324$	$2621$	$3676$
$1397$	$1832$	$1962$	$2177$	$2575$
$1293$	$1365$	$1146$	$3222$	$1396$

Find the number of households whose monthly expenditure on food is more than $Rs 3000$ .

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Prepare a frequency distribution by inclusive method taking class interval of

7

from the following data.

$28$	$17$	$15$	$22$	$29$	$21$	$23$	$27$	$18$	$12$	$7$	$2$	$9$	$4$
$1$	$8$	$3$	$10$	$5$	$20$	$16$	$12$	$8$	$4$	$33$	$27$	$21$	$15$
$3$	$36$	$27$	$18$	$9$	$2$	$4$	$6$	$32$	$31$	$29$	$18$	$14$	$13$
$15$	$11$	$9$	$7$	$1$	$5$	$37$	$38$	$28$	$26$	$24$	$20$	$19$	$25$
$19$	$20$	$6$	$9$

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Distinguish between univariate and bivariate frequency distribution.

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

The class midpoint is equal to:

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Ogives can be helpful in locating graphically the:

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

If you compare the figure $3.2$ with the figure $3.1$ . What do you observe? Do you find any difference between them? Can you explain the difference?

Question Image

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Statistical calculations in classified data are based on

HARD

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Use the data given in the table that relate to monthly household expenditure (in Rs) on the food of $50$ households.

Monthly Household Expenditure (in Rupees) on Food of 50 Households

$1904$	$1559$	$3473$	$1735$	$2760$
$2041$	$1612$	$1753$	$1855$	$4439$
$5090$	$1085$	$1823$	$2346$	$1523$
$1211$	$1360$	$1110$	$2152$	$1183$
$1218$	$1315$	$1105$	$2628$	$2712$
$4248$	$1812$	$1264$	$1183$	$1171$
$1007$	$1180$	$1953$	$1137$	$2048$
$2025$	$1583$	$1324$	$2621$	$3676$
$1397$	$1832$	$1962$	$2177$	$2575$
$1293$	$1365$	$1146$	$3222$	$1396$

Find the number of households whose monthly expenditure on food is less than $Rs 2000$

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

The frequency distribution of two variables is known as

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Use the data given in table that relate to monthly household expenditure (in Rs) on food of $50$ households.

Monthly Household Expenditure (in Rupees) on Food of 50 Households

$1904$	$1559$	$3473$	$1735$	$2760$
$2041$	$1612$	$1753$	$1855$	$4439$
$5090$	$1085$	$1823$	$2346$	$1523$
$1211$	$1360$	$1110$	$2152$	$1183$
$1218$	$1315$	$1105$	$2628$	$2712$
$4248$	$1812$	$1264$	$1183$	$1171$
$1007$	$1180$	$1953$	$1137$	$2048$
$2025$	$1583$	$1324$	$2621$	$3676$
$1397$	$1832$	$1962$	$2177$	$2575$
$1293$	$1365$	$1146$	$3222$	$1396$

Obtain the range of monthly household expenditure on food.

HARD

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Use the data given in the table that relate to monthly household expenditure (in Rs) on food of $50$ households.

$1904$	$1559$	$3473$	$1735$	$2760$
$2041$	$1612$	$1753$	$1855$	$4439$
$5090$	$1085$	$1823$	$2346$	$1523$
$1211$	$1360$	$1110$	$2152$	$1183$
$1218$	$1315$	$1105$	$2628$	$2712$
$4248$	$1812$	$1264$	$1183$	$1171$
$1007$	$1180$	$1953$	$1137$	$2048$
$2025$	$1583$	$1324$	$2621$	$3676$
$1397$	$1832$	$1962$	$2177$	$2575$
$1293$	$1365$	$1146$	$3222$	$1396$

Find the number of households whose monthly expenditure on food in between $1500$ and $2500$ .

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Explain the 'exclusive' and 'inclusive' methods used in classification of data

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Find the range of yield of wheat in table below.

The yield of wheat for different countries $(2013)$

Country	Yield of wheat(kg/hectare)
Canada	$3594$
China	$5055$
France	$7254$
Germany	$7998$
India	$3154$
Pakistan	$2787$

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Range is the

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

The quick brown fox jumps over the lazy dog.

Read the above sentence carefully and note the numbers of letters in each word. Treating the number of letters as a variable, prepare a frequency array for this data.

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Find the range of the population of India from the table below:

Population of India (in crores)

Year	Population(in crores)
$1951$	$35.7$
$1961$	$43.8$
$1971$	$54.6$
$1981$	$68.4$
$1991$	$81.8$
$2001$	$102.7$
$2011$	$121.0$

MEDIUM

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

Use the data given in the table that relate to monthly household expenditure (in Rs) on the food of $50$ households.

Monthly Household Expenditure (in Rupees) on Food of 50 Households

$1904$	$1559$	$3473$	$1735$	$2760$
$2041$	$1612$	$1753$	$1855$	$4439$
$5090$	$1085$	$1823$	$2346$	$1523$
$1211$	$1360$	$1110$	$2152$	$1183$
$1218$	$1315$	$1105$	$2628$	$2712$
$4248$	$1812$	$1264$	$1183$	$1171$
$1007$	$1180$	$1953$	$1137$	$2048$
$2025$	$1583$	$1324$	$2621$	$3676$
$1397$	$1832$	$1962$	$2177$	$2575$
$1293$	$1365$	$1146$	$3222$	$1396$

Divide the range into appropriate number of class intervals and obtain the frequency distribution of expenditure.

EASY

Economics>Statistics in Economics>Organisation of Data>Frequency Distribution

In a city

45

families were surveyed for the number of Cell phones they used. Prepare a frequency array based on their replies as recorded below.

$\begin{array}{l} 1 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 3 & 3 & 3 & 3 \\ 3 & 3 & 2 & 3 & 2 & 2 & 6 & 1 & 6 & 2 & 1 & 5 & 1 & 5 & 3 \\ 2 & 4 & 2 & 7 & 4 & 2 & 4 & 3 & 4 & 2 & 0 & 3 & 1 & 4 & 3 \end{array}$

An open-end class is a class that lacks either a lower limit or a higher limit.

Important Questions on Organisation of Data

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