Number of goals scored per match by a football club over a season: 0-2 (4), 2-4 (10), 4-6 (10), 6-8 (3). Two adjacent classes, 2-4 and 4-6, tie at frequency 10. If, for an estimate, we take the modal class as 2-4 with f0 = 4 and f2 = 10, what mode does the formula give?

Question

Accepted Answer

4.00. l=2, f1=10, f0=4, f2=10, h=2. Mode = 2 + 10-4/20-4-10*2 = 2 + 6/6*2 = 2 + 2 = 4.00. (Note: the tie still makes the data effectively bimodal.)

Number of goals scored per match by a football club over a season: 0-2 (4), 2-4 (10), 4-6 (10), 6-8 (3). Two adjacent classes, 2-4 and 4-6, tie at frequency 10.
If, for an estimate, we take the modal class as 2-4 with f0 = 4 and f2 = 10, what mode does the formula give?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Mode of Grouped Data practice

Number of goals scored per match by a football club over a season: 0-2 (4), 2-4 (10), 4-6 (10), 6-8 (3). Two adjacent classes, 2-4 and 4-6, tie at frequency 10.If, for an estimate, we take the modal class as 2-4 with f0 = 4 and f2 = 10, what mode does the formula give?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Mode of Grouped Data practice

Number of goals scored per match by a football club over a season: 0-2 (4), 2-4 (10), 4-6 (10), 6-8 (3). Two adjacent classes, 2-4 and 4-6, tie at frequency 10.
If, for an estimate, we take the modal class as 2-4 with f0 = 4 and f2 = 10, what mode does the formula give?