Use the data given below that relate to monthly household expenditure in Rs on food of 50 households and answer the questions- begin matrix 1904 -1559 -1735 -2760 -2041 - 1612 II 1753 - 1855 -4439 -5090 -1085 - 1823 -2346 11 1523 -1211 -1360 -1110 -2152 -1183 -1218 II1315 -1105 -2628 -2712 -4248 -1812 -1264 -11183 - 1171 - 1007 - 1180 - 1953 - 1137 - 2048 12025 -1583 -1324 -2621 -3676 -1397 -1832 11 1962 - 2177 -2575 - 1293 -1365 - 1146 -3222 II1396 -lend matrix i Obtain the range of monthly household expenditure on food-ii Divide the range into appropriate number of class intervals and obtain the frequency distribution of expenditure-

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Byju's Answer

Standard XI

Statistics

Frequency Distribution Table

Use the data ...

Question

Use the data given below that relate to monthly household expenditure (in Rs) on food of 50 households and answer the questions.

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

(i) Obtain the range of monthly household expenditure on food.

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

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Solution

(i) Range = Largest Value - Smallest Value

= 5090 -1007 = 4083

(ii) The frequency distribution of expenditure is as follows:

$\begin{matrix} Class - Interval & Frequency & More than CF 1000 - 2000 & 33 & 50 2000 - 3000 & 11 & 17 3000 - 4000 & 3 & 6 4000 - 5000 & 2 & 3 5000 - 6000 & 1 & 1 \end{matrix}$

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Similar questions

Q. Use the data in Table 3.2 that relate to monthly household expenditure (in Rs) on food of 50 households and

(i) Obtain the range of monthly household expenditure on food.

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

(ii) Find the number of households whose monthly expenditure on food is

(a) less than Rs 2000
(b) more than Rs 3000
(c) between Rs 1500 and Rs 2500

Use the data in Table 3.2 that relate to monthly household expenditure (in Rs) on food of 50 households and obtain the range of monthly household expenditure on food.

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

Q. Following shows the distribution of monthly expenditure (in Rs.) done by households in a certain village on electricity.
Find median expenditure done by households on electricity per month.

Monthly expenditure	150 - 225	225 - 300	300 - 375	375 - 450	450 - 525	525 - 600	600 and above
No. of households	65	171	196	75	53	26	14

Q. The following table shows the distribution of monthly expenditure on electricity of households in a certain village.

Monthly Expenditure	150-225	225-300	300-375	375-450	450-525	525-600	600 and above
No. of households	65	171	196	75	53	26	14

Find the median expenditure on electricity of households per month.

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(i) Range = Largest Value - Smallest Value = 5090 -1007 = 4083 (ii) The frequency distribution of expenditure is as follows: Class - IntervalFrequencyMore than CF1000−200033502000−300011173000−4000364000−5000235000−600011