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Question

Study the table carefully and answer the question that follows. (1-5)

The following table has 5 items along with number of items brought and sold for each quarter for each item.

(B - Item brought initially in the quarter, S - Item sold in that quarter)

Quarter ->

Q1

Q2

Q3

Q4

Items

B

S

B

S

B

S

B

S

A

300

170

400

335

370

320

410

370

B

270

180

280

200

350

330

380

340

C

280

210

350

310

250

200

250

200

D

320

250

340

290

280

180

280

240

E

325

275

370

315

320

170

265

190

Which item has the minimum average items sold for all quarters?

The correct answer is

C

The question asks us to identify the item that has the minimum average number of items sold across the four quarters (Q1, Q2, Q3, and Q4). To find this, we need to calculate the total number of items sold for each item and then divide by the number of quarters to get the average.

The table provides the number of items brought (B) and sold (S) for each item in each quarter. We are interested in the 'S' values for each item across Q1, Q2, Q3, and Q4.

Quarter → Q1 Q2 Q3 Q4
Items B S B S B S B S
A 300 170 400 335 370 320 410 370
B 270 180 280 200 350 330 380 340
C 280 210 350 310 250 200 250 200
D 320 250 340 290 280 180 280 240
E 325 275 370 315 320 170 265 190

Let's calculate the total items sold and the average items sold for each item.

Calculating Total and Average Items Sold per Item

We sum the 'S' values for each item across all four quarters (Q1, Q2, Q3, Q4).

  • Item A: Total sold = 170 + 335 + 320 + 370 = 1195
    Average sold for A = $\frac{1195}{4} = 298.75$
  • Item B: Total sold = 180 + 200 + 330 + 340 = 1050
    Average sold for B = $\frac{1050}{4} = 262.5$
  • Item C: Total sold = 210 + 310 + 200 + 200 = 920
    Average sold for C = $\frac{920}{4} = 230$
  • Item D: Total sold = 250 + 290 + 180 + 240 = 960
    Average sold for D = $\frac{960}{4} = 240$
  • Item E: Total sold = 275 + 315 + 170 + 190 = 950
    Average sold for E = $\frac{950}{4} = 237.5$

Comparing Average Items Sold

Now, let's list the average items sold for each item:

  • Item A: 298.75
  • Item B: 262.5
  • Item C: 230
  • Item D: 240
  • Item E: 237.5

Comparing these average values, we can see that the minimum average items sold is 230, which corresponds to Item C.

Identifying the Item with Minimum Average Sold

Based on our calculations, the item with the minimum average items sold for all quarters is Item C.


Revision Table: Key Calculations

Item Items Sold (Q1 + Q2 + Q3 + Q4) Total Items Sold Average Items Sold (Total / 4)
A 170 + 335 + 320 + 370 1195 298.75
B 180 + 200 + 330 + 340 1050 262.5
C 210 + 310 + 200 + 200 920 230
D 250 + 290 + 180 + 240 960 240
E 275 + 315 + 170 + 190 950 237.5

Additional Information on Calculating Averages

The average, also known as the mean, is a fundamental concept in statistics used to find a typical value in a set of numbers. To calculate the average of a set of values, you sum all the values and then divide the sum by the count of the values in the set.

In this problem, we calculated the average items sold for each item across four quarters. The set of values for each item consisted of the number of items sold in Q1, Q2, Q3, and Q4. The count of values was 4 (because there are four quarters).

The formula for the average is:

Average = $\frac{\text{Sum of all values}}{\text{Number of values}}$

Understanding how to calculate averages from tables is a common data interpretation skill required in many exams.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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