Data Handling and Symmetry Quiz

At a charity bake sale, 7 volunteers collected money. The amounts collected (in $) by 6 of them are: 420, 380, 390, 410, 400, and 400. The seventh volunteer collected an amount such that the mean and mode of the data became equal. What amount did the seventh volunteer collect?

1. 410
2. 390
3. 420
4. 400

Answer: (d) 400

Five houses on a street have house numbers that are all prime numbers arranged in increasing order. The median of these house numbers is 37, and the range is 24. One of the numbers is exactly 4 more than the smallest number, Find all five house numbers.

1. 19, 29, 23, 37, 41
2. 17, 19, 37, 41, 43
3. 19, 23, 41, 37, 43
4. 13, 15, 17, 37, 29

Answer: (c) 19, 23, 41, 37, 43

In a sports club, 9 players' ages are: 13, 15, 15, 16, 17, 18, 19, 21, and one unknown. It is known that median age = mean age. What is the unknown age?

1. 17
2. 19
3. 21
4. 18

Answer: (b) 19

The pie chart below represents the percentage of hours spent on different activities by a student in a day. If the student decides to increase the time spent on playing sports by 5% of the total day, Calculate the new total time spent on playing sports?

1. 4 hours
2. 4.5 hours
3. 6 hours
4. 8.4 hours

Answer: (d) 8.4 hours

The pie chart below shows the distribution of time spent by a student on various activities during a day. If the student follows this routine for 7 days, how much time total time spent on social media exceed the time spent on meals?

1. 8.6 hours
2. 3.5 hours
3. 16.8 hours
4. 8.4 hours

Answer: (d) 8.4 hours

A kite with two diagonals. One diagonal divides the kite vertically and the other horizontally. How many lines of symmetry does this kite have?

1. 1
2. 2
3. 3
4. 4

Answer: (a) 1

In a bar graph, the heights of two bars are 6.7 cm and 4.8 cm, respectively. If 1 cm = 60 units, then determine the difference in the values represented by the two bars.

1. 114 units
2. 100 units
3. 288 units
4. 150 units

Answer: (a) 114 units

Consider a regular hexagon. If one of its sides is reflected across a line passing through its center, how many possible distinct reflections of the hexagon are there?

1. 3
2. 6
3. 9
4. 12

Answer: (c) 9

A puzzle competition had 11 participants. Their scores were: 82, 84, 86, 88, 90, 92, 94, 96, 97, 100 and one unknown score x. If the mode of the scores is 92 and the mean becomes 91 after including x, find the difference between the mode and the mean after excluding x.

1. 2.5
2. 1.1
3. 4.5
4. 0.8

Answer: (b) 1.1

A company tracks its monthly revenue and expenses over the past 6 months using a double bar graph. What is the percentage increase in revenue from January to June?

1. 60%
2. 55%
3. 65%
4. 70%

Answer: (b) 55%