Practice30Create account

In 20 football matches a team's goals were recorded as — 0 goals in 4 matches, 1 goal in 6 matches, 2 goals in 5 matches, 3 goals in 3 matches, 4 goals in 2 matches. What is the median number of goals per match?

Competition practiceData & Probability
  • A1.5
  • B1.65
  • C2
  • D1

Step-by-Step Solution

Build the running counts: 4, 10, 15, 18, 20. With n = 20 the median is the average of the 10th and 11th observations. The 10th is the last of the six 1-goal matches and the 11th is the first of the five 2-goal matches, so the median is (1 + 2)/2 = 1.5. The value 1.65 is the MEAN, 33 ÷ 20; 1 is the mode, since 1 goal is the commonest score; and 2 is the middle ROW of the table, which is not the same thing as the middle observation.
Answer: A) 1.5

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Data & Probability practice questions

More Data & Probability practice

In a test every correct answer earns 4 marks and every wrong answer loses 1 mark. A…Family P has a monthly income of ₹40,000 and spends 30 percent of it on food. Family Q…Find the standard deviation of the six numbers 4, 4, 4, 10, 10, 10.Bag A holds 4 red and 6 white balls; Bag B holds 7 red and 3 white balls. One of the two…The runs scored in 15 innings are shown in a stem-and-leaf display, the stem being the…