1. Will the bars look similar if a different teacher’s data is considered instead of Zakir’s?
2. Will the bars look different if the data for all 7 days of the week is considered?
3. Some bars in the chart may also match people doing other kinds of work/activities. Can you think of any? Discuss.
- 1. Will the bars look similar if a different teacher’s data is considered instead of Zakir’s?
- 2. Will the bars look different if the data for all 7 days of the week is considered?
- 3. Some bars in the chart may also match people doing other kinds of work/activities. Can you think of any? Discuss.
Step-by-step solution
Idea: A bar shows one person’s average Monday-to-Friday day. Change the person, the days or the job and the shares can change, but similar lifestyles give similar bars.
1. Will the bars look similar if a different teacher’s data is considered instead of Zakir’s?
- Broadly similar, since most teachers stand while teaching and move between classes. But not exactly the same: a teacher with fewer periods, a long commute, a lot of correction work or a PE class would have more sitting or more moving.1 mark
2. Will the bars look different if the data for all 7 days of the week is considered?
- Yes, for most people. On Saturday and Sunday there is no school or office for many, so they usually sleep longer and sit more (TV, phone, rest), or move more if they play or do housework. Averaging 7 days mixes these in. For Pavani, who is a patient, the bar may hardly change.1 mark
3. Some bars in the chart may also match people doing other kinds of work/activities. Can you think of any? Discuss.
- Raghu’s (mostly standing/moving): waiter, shop assistant, security guard, traffic police, construction worker, farmer. Julie’s (mostly sitting): office worker, driver, tailor, cashier, call-centre worker. Zakir’s: a shopkeeper or salesperson. Pavani’s (mostly lying down): someone recovering from surgery, or a very old person.1 mark
Answer to write in the exam
1.
Teachers stand and move while teaching ⇒ similar pattern
Periods, travel, correction work differ ⇒ shares differ
∴ Similar, not identical
2.
Weekends: no school or office for many
More lying/sitting (or more moving for some)
∴ Bars change for most people; the patient’s bar may not
3.
Mostly moving (like Raghu): waiter, security guard, farmer
Mostly sitting (like Julie): driver, tailor, cashier
Mostly lying (like Pavani): a person recovering from illness
Common mistakes that cost marks
- Saying every teacher must have exactly Zakir’s bar. One person’s data is only an example.
- Forgetting that a 7-day average includes weekends, which differ from weekdays.
- Suggesting jobs that do not fit the bar’s pattern (for example, a runner for Julie’s bar).
How this can come in the exam
A person’s bar shows: lying down 33%, sitting 17%, standing/moving 50%. Which job fits best?
- Software engineer
- Bus driver
- Waiter
- Patient in hospital
Show answer
(C) Waiter
Half the day standing or moving fits a waiter.
Try one yourself
A tailor works 9 hours sitting at the sewing machine, sleeps 8 hours and moves around for the rest. Find the shares of her day.
Show answer
Sitting 924 = 37.5%, lying 824 ≈ 33.3%, moving 724 ≈ 29.2%.
More questions like this
- In cricket, the run rate is the average number of runs scored per over. In a T20 match, a team scored 6 runs in the first over making the run rate 6.
- Five friends who play badminton surveyed the city and collected the price of shuttlecocks across brands and types (Nylon and Feather). The following is the list of the prices, in rupees (₹), that each one compiled.
Yusuf: 40(N), 105(N), 383(F), 108(N), 165(F), 116(F)
Srikanth: 194(N), 85(N), 93(N), 121(N)
Kashvi: 49(N), 297(F), 105(N), 275(F), 40(N)
Prasanna: 124(N), 333(F), 182(N), 258(F)
Gracy: 220(F), 458(F), 129(F), 183(N)
Can you describe a way they can work together to find the average price of a shuttlecock across types? - Shreyas holds 25 shares of a company at an average price of ₹150 and Vaishnavi holds 5 shares of the same company at an average price of ₹150.
- (Pṛthūdakasvāmī, commentary on Brahmagupta’s Brāhmasphuṭasiddhānta, c. 864 CE) A “hasta” (meaning “forearm”) refers to a unit of length measuring around 18 inches.
A pool 30 hastas long is dug to different depths along its length. It is divided into 5 sections having lengths 4, 5, 6, 7, and 8 hastas, and is dug to depths of 9, 7, 7, 3, and 2 hastas, respectively. Find the mean depth of the pool. - Suvarna had purchased 1g gold at ₹15k (short for ₹15,000). This is shown by point O denoting the average price of gold that she possesses. Six different scenarios are given below for her next transaction. For each scenario estimate and mark the average price of gold she will have after the transaction.